Section 1: Mechanics |
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Introduction to Physics (Basic Math) |
1:17:37 |
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Intro |
0:00 | |
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What is Physics? |
1:35 | |
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| Physicists and Philosophers |
1:57 | |
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| Differences Between |
2:48 | |
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| Experimental Observations |
3:20 | |
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| Laws (Mathematical) |
3:48 | |
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| Modification of Laws/Experiments |
4:24 | |
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| Example: Newton's Laws of Mechanics |
5:38 | |
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| Example: Einstein's Relativity |
6:18 | |
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Units |
8:50 | |
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| Various Units |
9:37 | |
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| SI Units |
10:02 | |
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| Length (meter) |
10:18 | |
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| Mass (kilogram) |
10:35 | |
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| Time (second) |
10:51 | |
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| MKS Units (meter kilogram second) |
11:04 | |
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| Definition of Second |
11:55 | |
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| Definition of Meter |
14:06 | |
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| Definition of Kilogram |
15:21 | |
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| Multiplying/Dividing Units |
19:10 | |
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Trigonometry Overview |
21:24 | |
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| Sine and Cosine |
21:31 | |
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| Pythagorean Theorem |
23:44 | |
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| Tangent |
24:15 | |
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| Sine and Cosine of Angles |
24:35 | |
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| Similar Triangles |
25:54 | |
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| Right Triangle (Opposite, Adjacent, Hypotenuse) |
28:16 | |
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| Other Angles (30-60-90) |
29:16 | |
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Law of Cosines |
31:38 | |
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| Proof of Law of Cosines |
33:03 | |
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Law of Sines |
37:03 | |
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| Proof of Law of Sines |
38:03 | |
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Scalars and Vectors |
41:00 | |
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| Scalar: Magnitude |
41:22 | |
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| Vector: Magnitude and Direction |
41:52 | |
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| Examples |
42:31 | |
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Extra Example 1: Unit Conversion |
2:47 | |
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Extra Example 2: Law of Cosines |
12:52 | |
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Extra Example 3: Dimensional Analysis |
11:43 | |
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Vector Addition |
1:10:31 |
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Intro |
0:00 | |
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Graphical Method |
0:10 | |
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| Magnitude and Direction of Two Vectors |
0:40 | |
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Analytical Method or Algebraic Method |
8:45 | |
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| Example: Addition of Vectors |
9:12 | |
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| Parallelogram Rule |
11:42 | |
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| Law of Cosines |
14:22 | |
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| Law of Sines |
18:32 | |
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Components of a Vector |
21:35 | |
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| Example: Vector Components |
23:30 | |
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| Introducing Third Dimension |
31:14 | |
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| Right Handed System |
33:06 | |
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Specifying a Vector |
34:44 | |
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| Example: Calculate the Components of Vector |
36:33 | |
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Vector Addition by Means of Components |
41:23 | |
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Equality of Vectors |
47:11 | |
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Dot Product |
48:39 | |
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Extra Example 1: Vector Addition |
9:57 | |
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Extra Example 2: Angle Between Vectors |
4:10 | |
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Extra Example 3: Vector Addition |
4:51 | |
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Dot Product and Cross Product |
1:06:17 |
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Intro |
0:00 | |
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Dot Product |
0:12 | |
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| Vectors in 3 Dimensions |
1:36 | |
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| Right Handed System |
2:15 | |
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| Vector With 3 Components (Ax,Ay,Az) |
3:00 | |
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| Magnitude in 2 Dimension |
3:59 | |
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| Magnitude in 3 Dimension |
3:40 | |
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| Dot Product of i*i |
7:21 | |
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| Two Vectors are Perpendicular |
8:50 | |
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| A.B |
13:34 | |
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Angle Between Two Vectors |
17:27 | |
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| Given Two Vectors |
17:35 | |
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| Calculation Angle Between Vectors with (A.B) |
18:25 | |
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Cross Product |
23:14 | |
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| Cross Product of AxB |
23:42 | |
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| Magnitude of C=AxB cos Theta |
24:35 | |
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| Right Hand Rule |
27:07 | |
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| BxA |
28:40 | |
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| Direction of IxJ=K |
31:04 | |
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| JxK |
33:15 | |
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| KxI |
35:00 | |
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Evaluation in Terms of Determinants |
39:28 | |
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| Two Vectors A and B with Magnitude and Direction |
39:35 | |
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| Calculate AxB |
40:08 | |
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Example |
49:59 | |
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Extra Example 1: Perpendicular Vectors |
2:46 | |
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Extra Example 2: Area of Triangle Given Vertices |
8:29 | |
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Derivatives |
1:28:27 |
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Intro |
0:00 | |
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Definition and Geometric Interpretation |
1:06 | |
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| Example: F(x) is a Polynomial |
1:14 | |
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| Example: Parabola |
2:48 | |
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| F(x+h) |
4:04 | |
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| F(x+h)-F(x)/h |
5:38 | |
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| Slope of the Tangent |
9:53 | |
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| df/dx=f' |
10:30 | |
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Derivatives of Power of x |
13:11 | |
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| F(x)=1 or Any Constant =0 |
13:27 | |
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| F(x) =x = 1 |
15:13 | |
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| F(x)= x2 = 2x |
16:15 | |
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| F(x)= x3 = 3x2 |
18:26 | |
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Derivatives of Sin(x), Cos(x) , Exp(x) |
22:40 | |
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| f(x)=Six x =cos(x) |
22:51 | |
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| Cos(x)=1 X= in Radians |
27:50 | |
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| Sin(x)=1 X= in Radians |
28:55 | |
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| e^x where x= in Radians |
29:49 | |
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Derivative of u(x) v(x) |
39:17 | |
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| Derivative of Product of Two Functions f(x) =x^2 Sin(x) |
39:30 | |
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Derivative of u(x)/v(x) |
46:15 | |
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| F(u/v)= f(u(x+h)/v(x+h) |
46:23 | |
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Chain Rule |
51:40 | |
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| Example: F(x) =(x^2-1)^5 |
51:53 | |
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| F(x)=Sin 3x |
56:51 | |
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| F(x) =e^-2x |
58:21 | |
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Extra Example 1: Minima and Maxima |
7:00 | |
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Extra Example 2: Derivative |
5:29 | |
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Extra Example 3: Fermat's Principle to Derive Snell's Law |
16:33 | |
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Integrals |
1:13:28 |
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Intro |
0:00 | |
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Definite Integrals |
0:20 | |
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| F(x) |
0:29 | |
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| Area |
10:43 | |
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Indefinite Integrals |
13:53 | |
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| Suppose Function f(y)=∫f(y) dy |
15:07 | |
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| g(x)=∫ f(x) dx |
21:45 | |
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| ∫2 dx=2x+c |
22:40 | |
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Evaluation of Definite Integrals |
25:20 | |
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| ∫f(x') dx'=g(x) |
25:35 | |
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Integral of Sin(x) ,Cos(x) , and Exp(x) |
36:18 | |
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| ∫ sinx dx=-cos x+c |
36:56 | |
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| ∫ cosx dx=sin x+c |
39:32 | |
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| ∫ co2x dx=sin2x |
40:09 | |
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| ∫Cosωdt=1/ωsin ωdt |
42:42 | |
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| ∫e^x dx=e^x+c |
43:32 | |
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Integration by Substitution |
45:23 | |
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| ∫x(x^2 -1)dx |
46:01 | |
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Integration by Parts |
52:30 | |
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| d/dx=(uv)' |
52:45 | |
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| ∫udv=∫d(uv)-∫Vdu =uv-∫vdu |
54:20 | |
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| ∫xe^x dx/dv |
56:11 | |
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Extra Example 1: Integral |
6:26 | |
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Extra Example 2: Integral |
7:40 | |
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Motion in One Dimension |
1:19:35 |
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Intro |
0:00 | |
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| Position, Distance, and Displacement |
0:12 | |
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| Position of the Object |
0:30 | |
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| Distance Traveled by The Object |
5:34 | |
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| Displacement of The Object |
9:05 | |
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Average Speed Over a Certain Time Interval |
14:46 | |
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| Example Of an Object |
15:15 | |
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| Example: Calculating Average Speed |
20:19 | |
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Average Velocity Over a Time Interval |
22:22 | |
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| Example Calculating Average Velocity of an Object |
22:45 | |
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Instantaneous Velocity |
30:45 | |
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Average Acceleration Over a Time Interval |
40:50 | |
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| Example: Average Acceleration of an Object |
42:01 | |
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Instantaneous Acceleration |
47:17 | |
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| Example: Acceleration of Time T |
47:33 | |
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| Example with Realistic Equation |
49:52 | |
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Motion With Constant Acceleration: Kinematics Equation |
53:39 | |
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| Example: Motion of an Object with Constant Acceleration |
53:55 | |
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Extra Example 1: Uniformly Accelerated Motion |
6:14 | |
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Extra Example 2: Catching up with a Car |
8:33 | |
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Extra Example 3: Velocity and Acceleration |
6:41 | |
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Kinematics Equation From Calculus |
47:45 |
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Intro |
0:00 | |
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Velocity and Acceleration |
0:27 | |
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| Particle moves In x Direction |
0:35 | |
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| Instantaneous Velocity for Δt =0 |
3:05 | |
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| Acceleration (Change in Time) v(t+=Δt)-v(t) /Δt |
4:58 | |
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Example |
8:08 | |
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| x(t) =(-4+3t+2t^2) |
8:18 | |
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| Finding Average velocity at 10sec |
8:45 | |
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| V at t=3s |
10:28 | |
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| x(t) =0 ,0.2 sin (2t) |
12:20 | |
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| Finding Velocity |
12:50 | |
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Constant Acceleration |
15:29 | |
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| Object Moving with Constant Acceleration |
15:40 | |
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| Find Velocity and Position at Later Time t |
18:23 | |
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| v=∫a dt |
19:50 | |
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| V(t) =v0+at |
23:33 | |
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| v(t) =dx/dt x=∫vdt |
24:14 | |
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| T=v-v0/a |
29:26 | |
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Extra Example 1: Velocity and Acceleration |
8:25 | |
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Extra Example 2: Particle Acceleration |
5:49 | |
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Freely Falling Objects |
1:28:59 |
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Intro |
0:00 | |
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Acceleration Due to Gravity |
0:11 | |
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| Dropping an Object at Certain Height |
0:25 | |
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Signs : V , A , D |
7:07 | |
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| Example: Shooting an Object Upwards |
7:34 | |
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Example: Ground To Ground |
12:13 | |
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| Velocity at Maximum Height |
14:30 | |
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| Time From Ground to Ground |
23:10 | |
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| Shortcut: Calculate Time Spent in Air |
24:07 | |
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Example: Object Short Downwards |
30:19 | |
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| Object Short Downwards From a Height H |
30:30 | |
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| Use of Quadratic Formula |
36:23 | |
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Example: Bouncing Ball |
41:00 | |
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| Ball Released From Certain Height |
41:22 | |
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| Time Until Stationary |
43:10 | |
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| Coefficient of Restitution |
46:40 | |
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Example: Bouncing Ball. Continued |
53:02 | |
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Extra Example 1: Object Shot Off Cliff |
13:30 | |
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Extra Example 2: Object Released Off Roof |
7:13 | |
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Extra Example 3: Rubber Ball (Coefficient of Restitution) |
13:50 | |
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Motion in Two Dimensions, Part 1 |
1:08:38 |
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Intro |
0:00 | |
| |
| Position, Displacement, Velocity, Acceleration |
0:10 | |
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| Position of an Object in X-Y Plane |
0:19 | |
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| Displacement of an Object |
2:48 | |
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| Average Velocity |
4:30 | |
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| Instantaneous Velocity at Time T |
5:22 | |
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| Acceleration of Object |
8:49 | |
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Projectile Motion |
9:57 | |
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| Object Shooting at Angle |
10:15 | |
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| Object Falling Vertically |
14:48 | |
| |
| Velocity of an Object |
18:17 | |
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| Displacement of an Object |
19:20 | |
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| Initial Velocity Remains Constant |
21:24 | |
| |
| Deriving Equation of a Parabola |
25:23 | |
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Example: Shooting a Soccer Ball |
25:25 | |
| |
| Time Ball Spent in Air (Ignoring Air Resistance) |
27:48 | |
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| Range of Projectile |
34:49 | |
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| Maximum Height Reached by the Projectile |
36:25 | |
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Example: Shooting an Object Horizontally |
40:38 | |
| |
| Time Taken for Shooting |
42:34 | |
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| Range |
46:01 | |
| |
| Velocity Hitting Ground |
46:30 | |
| |
Extra Example 1: Projectile Shot with an Angle |
12:37 | |
| |
Extra Example 2: What Angle |
6:55 | |
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Motion in Two Dimensions, Part 2: Circular Dimension |
1:01:54 |
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Intro |
0:00 | |
| |
Uniform Circular Motion |
0:15 | |
| |
| Object Moving in a Circle at Constant Speed |
0:26 | |
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| Calculation Acceleration |
3:30 | |
| |
| Change in Velocity |
3:45 | |
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| Magnitude of Acceleration |
14:21 | |
| |
| Centripetal Acceleration |
18:15 | |
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Example: Earth Rotating Around The Sun |
18:42 | |
| |
| Center of the Earth |
20:45 | |
| |
| Distance Travelled in Making One Revolution |
21:34 | |
| |
| Acceleration of the Revolution |
23:37 | |
| |
Tangential Acceleration and Radial Acceleration |
25:35 | |
| |
| If Magnitude and Direction Change During Travel |
26:22 | |
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| Tangential Acceleration |
27:45 | |
| |
Example: Car on a Curved Road |
29:50 | |
| |
| Finding Total Acceleration at Time T if Car is at Rest |
31:13 | |
| |
Extra Example 1: Centripetal Acceleration on Earth |
8:11 | |
| |
Extra Example 2: Pendulum Acceleration |
7:12 | |
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Extra Example 3: Radius of Curvature |
9:08 | |
|
Newton's Laws of Motion |
1:29:51 |
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Intro |
0:00 | |
| |
Force |
0:21 | |
| |
| Contact Force (Push or Pull) |
1:02 | |
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| Field Forces |
1:49 | |
| |
| Gravity |
2:06 | |
| |
| Electromagnetic Force |
2:43 | |
| |
| Strong Force |
4:12 | |
| |
| Weak Force |
5:17 | |
| |
| Contact Force as Electromagnetic Force |
6:08 | |
| |
| Focus on Contact Force and Gravitational Force |
6:50 | |
| |
Newton's First Law |
7:37 | |
| |
| Statement of First Law of Motion |
7:50 | |
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| Uniform Motion (Velocity is Constant) |
9:38 | |
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| Inertia |
10:39 | |
| |
Newton's Second Law |
11:19 | |
| |
| Force as a Vector |
11:35 | |
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| Statement of Second Law of Motion |
12:02 | |
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| Force (Formula) |
12:22 | |
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| Example: 1 Force |
13:04 | |
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| Newton (Unit of Force) |
13:31 | |
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| Example: 2 Forces |
14:09 | |
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Newton's Third Law |
19:38 | |
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| Action and Reaction Law |
19:46 | |
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| Statement of Third Law of Motion |
19:58 | |
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| Example: 2 Objects |
20:15 | |
| |
| Example: Objects in Contact |
21:54 | |
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| Example: Person on Earth |
22:54 | |
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Gravitational Force and the Weight of an Object |
24:01 | |
| |
| Force of Attraction Formula |
24:42 | |
| |
| Point Mass and Spherical Objects |
26:56 | |
| |
| Example: Gravity on Earth |
28:37 | |
| |
| Example: 1 kg on Earth |
35:31 | |
| |
Friction |
37:09 | |
| |
| Normal Force |
37:14 | |
| |
| Example: Small Force |
40:01 | |
| |
| Force of Static Friction |
43:09 | |
| |
| Maximum Force of Static Friction |
46:03 | |
| |
| Values of Coefficient of Static Friction |
47:37 | |
| |
| Coefficient of Kinetic Friction |
47:53 | |
| |
| Force of Kinetic Friction |
48:27 | |
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| Example: Horizontal Force |
49:36 | |
| |
| Example: Angled Force |
52:36 | |
| |
Extra Example 1: Wire Tension |
10:37 | |
| |
Extra Example 2: Car Friction |
11:43 | |
| |
Extra Example 3: Big Block and Small Block |
9:17 | |
|
Applications of Newton's Laws, Part 1: Inclines |
1:24:35 |
| |
Intro |
0:00 | |
| |
Acceleration on a Frictionless Incline |
0:35 | |
| |
| Force Action on the Object(mg) |
1:31 | |
| |
| Net Force Acting on the Object |
2:20 | |
| |
| Acceleration Perpendicular to Incline |
8:45 | |
| |
| Incline is Horizontal Surface |
11:30 | |
| |
| Example: Object on an Inclined Surface |
13:40 | |
| |
Rough Inclines and Static Friction |
20:23 | |
| |
| Box Sitting on a Rough Incline |
20:49 | |
| |
| Maximum Values of Static Friction |
25:20 | |
| |
| Coefficient of Static Friction |
27:53 | |
| |
Acceleration on a Rough Incline |
29:00 | |
| |
| Kinetic Friction on Rough Incline |
29:15 | |
| |
| Object Moving up the Incline |
33:20 | |
| |
| Net force on the Object |
36:36 | |
| |
Example: Time to Reach the Bottom of an Incline |
41:50 | |
| |
| Displacement is 5m Down the Incline |
45:26 | |
| |
| Velocity of the Object Down the Incline |
47:49 | |
| |
Extra Example 1: Bottom of Incline |
12:23 | |
| |
Extra Example 2: Incline with Initial Velocity |
15:31 | |
| |
Extra Example 3: Moving Down an Incline |
8:09 | |
|
Applications of Newton's Laws, Part 2: Strings and Pulleys |
1:10:03 |
| |
Intro |
0:00 | |
| |
Atwood's Machine |
0:19 | |
| |
| Object Attached to a String |
0:39 | |
| |
| Tension on a String |
2:15 | |
| |
| Two Objects Attached to a String |
2:23 | |
| |
| Pulley Fixed to the Ceiling, With Mass M1 , M2 |
4:53 | |
| |
| Applying Newton's 2nd Law to Calculate Acceleration on M1, M2 |
9:21 | |
| |
One Object on a Horizontal Surface: Frictionless Case |
17:36 | |
| |
| Connecting Two Unknowns, Tension and Acceleration |
20:27 | |
| |
One Object on a Horizontal Surface: Friction Case |
23:57 | |
| |
| Two Objects Attached to a String with a Pulley |
24:14 | |
| |
| Applying Newton's 2nd Law |
26:04 | |
| |
| Tension of an Object Pulls to the Right |
27:31 | |
| |
One of the Object is Incline : Frictionless Case |
32:59 | |
| |
| Sum of Two Forces on Mass M2 |
34:39 | |
| |
| If M1g is Larger Than M2g |
36:29 | |
| |
One of the Object is Incline : Friction Case |
40:29 | |
| |
| Coefficient of Kinetic Friction |
41:18 | |
| |
| Net Force Acting on M2 |
45:12 | |
| |
Extra Example 1: Two Masses on Two Strings |
5:28 | |
| |
Extra Example 2: Three Objects on Rough Surface |
7:11 | |
| |
Extra Example 3: Acceleration of a Block |
8:52 | |
|
Accelerating Frames |
1:13:28 |
| |
Intro |
0:00 | |
| |
What Does a Scale Measure |
0:11 | |
| |
| Example: Elevator on a Scale |
0:22 | |
| |
| Normal Force |
4:57 | |
| |
Apparent Weight in an Elevator |
7:42 | |
| |
| Example: Elevator Starts Moving Upwards |
9:05 | |
| |
| Net Force (Newton's Second Law) |
11:34 | |
| |
| Apparent Weight |
14:36 | |
| |
Pendulum in an Accelerating Train |
15:58 | |
| |
| Example: Object Hanging on the Ceiling of a Train |
16:15 | |
| |
| Angle In terms of Increased Acceleration |
22:04 | |
| |
Mass and Spring in an Accelerating Truck |
23:40 | |
| |
| Example: Spring on a Stationary Truck |
23:55 | |
| |
| Surface of Truck is Frictionless |
27:38 | |
| |
| Spring is Stretched by distance X |
28:40 | |
| |
Cup of Coffee |
29:55 | |
| |
| Example: Moving Train and Stationary Objects inside Train |
30:05 | |
| |
| Train Moving With Acceleration A |
32:45 | |
| |
| Force of Static Friction Acting on Cup |
36:30 | |
| |
Extra Example 1: Train Slows with Pendulum |
11:54 | |
| |
Extra Example 2: Person in Elevator Releases Object |
13:06 | |
| |
Extra Example 3: Hanging Object in Elevator |
10:26 | |
|
Circular Motion, Part 1 |
1:01:15 |
| |
Intro |
0:00 | |
| |
Object Attached to a String Moving in a Horizontal Circle |
0:09 | |
| |
| Net Force on Object (Newton's Second Law) |
1:51 | |
| |
| Force on an Object |
3:03 | |
| |
| Tension of a String |
4:40 | |
| |
Conical Pendulum |
5:40 | |
| |
| Example: Object Attached to a String in a Horizontal Circle |
5:50 | |
| |
| Weight of an Object Vertically Down |
8:05 | |
| |
| Velocity And Acceleration in Vertical Direction |
11:20 | |
| |
| Net Force on an Object |
13:02 | |
| |
Car on a Horizontal Road |
16:09 | |
| |
| Net Force on Car (Net Vertical Force) |
18:03 | |
| |
| Frictionless Road |
18:43 | |
| |
| Road with Friction |
22:41 | |
| |
| Maximum Speed of Car Without Skidding |
26:05 | |
| |
Banked Road |
28:13 | |
| |
| Road Inclined at an Angle ø |
28:32 | |
| |
| Force on Car |
29:50 | |
| |
| Frictionless Road |
30:45 | |
| |
| Road with Friction |
36:22 | |
| |
Extra Example 1: Object Attached to Rod with Two Strings |
11:27 | |
| |
Extra Example 2: Car on Banked Road |
9:29 | |
| |
Extra Example 3: Person Held Up in Spinning Cylinder |
3:05 | |
|
Circular Motion, Part 2 |
50:29 |
| |
Intro |
0:00 | |
| |
Normal Force by a Pilot Seat |
0:14 | |
| |
| Example : Pilot Rotating in a Circle r and Speed s |
0:33 | |
| |
| Pilot at Vertical Position in a Circle of Radius R |
4:18 | |
| |
| Net Force on Pilot Towards Center (At Bottom) |
5:53 | |
| |
| Net Force on Pilot Towards Center (At Top) |
7:55 | |
| |
Object Attached to a String in Vertical Motion |
10:46 | |
| |
| Example: Object in a Circle Attached to String |
10:59 | |
| |
| Case 1: Object with speed v and Object is at Bottom |
11:30 | |
| |
| Case 2: Object at Top in Vertical Motion |
15:24 | |
| |
| Object at Angle ø (General Position) |
17:48 | |
| |
| 2 Radial Forces (Inward & Outward) |
20:32 | |
| |
| Tension of String |
23:44 | |
| |
Extra Example 1: Pail of Water in Vertical Circle |
5:16 | |
| |
Extra Example 2: Roller Coaster Vertical Circle |
3:57 | |
| |
Extra Example 3: Bead in Frictionless Loop |
16:56 | |
|
Work and Energy, Part 1 |
1:24:46 |
| |
Intro |
0:00 | |
| |
Work in One Dimension: Constant Force |
0:11 | |
| |
| Particle Moving in X-Axis |
0:24 | |
| |
| Displacement Δx=x2-x1 |
1:35 | |
| |
| Work Done by the Force W=FΔX |
2:25 | |
| |
| Example: Object Being Pushed for 10 m (Frictionless case) |
3:31 | |
| |
| Example: Elevator Descends with constant Velocity |
5:37 | |
| |
| Work by Tension |
9:06 | |
| |
Work in One Dimension: Variable Force |
11:28 | |
| |
| Object Displaced from a to b Under Action of Force |
12:06 | |
| |
| Total Work= F(x1) Δx1 |
19:48 | |
| |
| Special Case : F(x) =F |
22:56 | |
| |
Work Done by a Spring |
24:30 | |
| |
| Spring Attached to a Object |
24:42 | |
| |
| Spring Stretched |
25:40 | |
| |
| Spring Compressed and Released |
30:30 | |
| |
| Hookes Law |
32:05 | |
| |
| W=∫F(x) dx ,Initial Position to Final Position |
36:25 | |
| |
Work in Three Dimension: Constant Force |
41:54 | |
| |
| 3 Components Of 3 Dimensions |
45:45 | |
| |
| Work Done By F=F.Δx |
47:30 | |
| |
Example |
48:58 | |
| |
| Object Moves Up and Inclined |
49:10 | |
| |
| Work Done by Gravity=F.Δr |
49:50 | |
| |
| W=F.Δr= -mgz |
53:50 | |
| |
| Work Done By Normal Force=0 |
54:33 | |
| |
Work in Three Dimension: Variable Force |
55:45 | |
| |
| Object Moving From A to B with Time |
56:03 | |
| |
| W=∫f.dr |
57:45 | |
| |
Extra Example 1: Work Done By Force |
3:19 | |
| |
Extra Example 2: Mass on Half Ring |
12:07 | |
| |
Extra Example 3: Force with Two Paths |
9:03 | |
|
Work and Energy, Part 2 |
1:12:53 |
| |
Intro |
0:00 | |
| |
Work Kinetic Energy Theorem |
0:16 | |
| |
| Object Moves in 3 Dimensions |
1:51 | |
| |
| Work Done by Net Force =W=∫f.dr |
3:27 | |
| |
| W=Change in Kinetic Energy |
15:11 | |
| |
Example |
16:00 | |
| |
| Object Moving on Surface with Mass 10 N |
16:12 | |
| |
| Using Newton's Second Law |
18:26 | |
| |
| Using Work Kinetic Energy Theorem |
21:32 | |
| |
Gravitational Potential Energy |
24:30 | |
| |
| Example of a Particle in 3 Dimensions |
24:47 | |
| |
| Work Done By Force of Gravity |
26:09 | |
| |
Conservation of Energy |
36:37 | |
| |
| Object in a Projectile |
36:48 | |
| |
| Work Done by Gravity |
39:50 | |
| |
Example |
43:45 | |
| |
| Frictionless Track |
44:20 | |
| |
Example |
50:49 | |
| |
| Pendulum: Object Attached to a String at Height H |
51:07 | |
| |
| Finding Tension in a String |
52:20 | |
| |
Extra Example 1: Object Pulled by Angled Force |
8:13 | |
| |
Extra Example 2: Projectile Shot at Angle |
6:30 | |
|
Conservation of Energy, Part 1 |
1:32:50 |
| |
Intro |
0:00 | |
| |
Conservative Forces |
0:10 | |
| |
| Given a Force |
4:01 | |
| |
| Consider a Particle Moves from P1 to P2 on Path |
5:40 | |
| |
| Work Done by Force |
8:28 | |
| |
Example |
14:56 | |
| |
| Gravity |
15:20 | |
| |
| Spring with Block Moves and Stretched |
17:36 | |
| |
| Friction is Net Conservative |
23:29 | |
| |
| Path 1 Straight |
27:04 | |
| |
| Along Path 2 |
30:07 | |
| |
Potential Energy by a Conservative Force |
33:23 | |
| |
| Choose Reference Point (Potential Energy =0) |
33:51 | |
| |
| Define Potential Energy at Point P |
35:23 | |
| |
Conservation of Energy |
40:58 | |
| |
| Object Moving from P1 -P2 |
41:50 | |
| |
| Work Kinetic Energy Theorem |
41:58 | |
| |
Potential Energy of a Spring |
48:42 | |
| |
| Spring Stretched with Mass M, Find Potential Energy |
49:13 | |
| |
Example |
53:45 | |
| |
| Force Acting on Particle in One Dimension |
54:10 | |
| |
Extra Example 1: Work Done By Gravity |
8:14 | |
| |
Extra Example 2: Prove Constant Force is Conservative |
4:03 | |
| |
Extra Example 3: Work Done by Force |
13:07 | |
| |
Extra Example 4: Compression of Spring |
8:18 | |
|
Conservation of Energy, Part 2 |
1:07:48 |
| |
Intro |
0:00 | |
| |
In Presence of Friction |
0:13 | |
| |
| Work Energy Theorem |
3:05 | |
| |
| Work Done BY Friction is Negative |
6:51 | |
| |
Example |
10:12 | |
| |
| Object on Inclined Surface with Friction |
10:20 | |
| |
| Heat, Magnitude by Friction |
12:42 | |
| |
| Work Done By Friction |
13:01 | |
| |
Calculation of the Force From The Potential Energy |
19:15 | |
| |
| Defining Potential Energy with Conservation of Energy |
19:35 | |
| |
Potential Energy and Equilibrium |
31:16 | |
| |
| Spring Stretched with Mass M |
31:28 | |
| |
| Stable Equilibrium |
35:52 | |
| |
| Unstable Equilibrium |
40:50 | |
| |
Example |
41:02 | |
| |
| Two Objects or Two Atoms |
41:12 | |
| |
| Leonard John's Potential |
42:15 | |
| |
Power |
47:38 | |
| |
| Rate at Force Work Done |
47:54 | |
| |
| Average Power |
49:01 | |
| |
| Instant Power Delivered at Time t |
49:20 | |
| |
| Horse Power |
53:10 | |
| |
Extra Example 1: Force from Potential Energy |
3:36 | |
| |
Extra Example 2: Mass with Two Springs |
4:17 | |
| |
Extra Example 3: Block Pulled with Friction |
6:04 | |
|
Conservation of Energy, Part 3 (Examples) |
1:11:58 |
| |
Intro |
0:00 | |
| |
Spring Loaded Gun |
0:26 | |
| |
| Spring with Bullet |
0:43 | |
| |
| Finding the Force Constant if Mass of Bullet is Given |
2:48 | |
| |
| Compression of a Spring |
5:10 | |
| |
Sliding Object |
11:33 | |
| |
| Object Sliding on a Frictionless Surface |
12:15 | |
| |
| Spring at the End of a Slide |
12:46 | |
| |
| Using Conservation of Energy K1+u1=K2+U2 |
15:06 | |
| |
| Finding Velocity and Energy |
17:36 | |
| |
Block Spring System with Friction |
33:05 | |
| |
| Spring is Unstretched at Equilibrium |
33:35 | |
| |
| Spring is Compressed |
33:57 | |
| |
| Finding Total Energy |
39:02 | |
| |
Losing Contact on a Circular Track |
46:16 | |
| |
| Objects Slides on a Circular Track |
47:25 | |
| |
| Normal Force=0 |
48:10 | |
| |
| Centripetal Force |
48:57 | |
| |
| Finding Velocity at Given Angle |
49:25 | |
| |
| Energy at the Top |
50:55 | |
| |
| Contact Lost |
54:55 | |
| |
Horse Pulling a Carriage |
56:07 | |
| |
| Horse Power |
56:40 | |
| |
| Power=FV |
57:11 | |
| |
Extra Example 1: Elevator with Friction |
7:02 | |
| |
Extra Example 2: Loop the Loop |
5:34 | |
|
Collisions, Part 1 |
1:31:19 |
| |
Intro |
0:00 | |
| |
Linear Momentum |
0:10 | |
| |
| Example: Object of Mass m with Velocity v |
0:25 | |
| |
| Example: Object Bounced on a Wall |
1:08 | |
| |
| Momentum of Object Hitting a Wall |
2:20 | |
| |
| Change in Momentum |
4:10 | |
| |
Force is the Rate of Change of Momentum |
4:30 | |
| |
| Force=Mass*Acceleration (Newton's Second Law) |
4:45 | |
| |
Impulse |
10:24 | |
| |
| Example: Baseball Hitting a Bat |
10:40 | |
| |
| Force Applied for a Certain Time |
11:50 | |
| |
| Magnitude Plot of Force vs Time |
13:35 | |
| |
| Time of Contact of Baseball = 2 milliseconds (Average Force by Bat) |
17:42 | |
| |
Collision Between Two Particles |
22:40 | |
| |
| Two Objects Collide at Time T |
23:00 | |
| |
| Both Object Exerts Force on Each Other (Newton's Third Law) |
24:28 | |
| |
| Collision Time |
25:42 | |
| |
| Total Momentum Before Collision = Total momentums After Collision |
32:52 | |
| |
Collision |
33:58 | |
| |
| Types of Collisions |
34:13 | |
| |
| Elastic Collision ( Mechanical Energy is Conserved) |
34:38 | |
| |
| Collision of Particles in Atoms |
35:50 | |
| |
| Collision Between Billiard Balls |
36:54 | |
| |
| Inelastic Collision (Rubber Ball) |
39:40 | |
| |
| Two Objects Collide and Stick (Completely Inelastic) |
40:35 | |
| |
Completely Inelastic Collision |
41:07 | |
| |
| Example: Two Objects Colliding |
41:23 | |
| |
| Velocity After Collision |
42:14 | |
| |
| Heat Produced=Initial K.E-Final K.E |
47:13 | |
| |
Ballistic Pendulum |
47:37 | |
| |
| Example: Determine the Speed of a Bullet |
47:50 | |
| |
| Mass Swings with Bulled Embedded |
49:20 | |
| |
| Kinetic Energy of Block with the Bullet |
50:28 | |
| |
Extra Example 1: Ball Strikes a Wall |
10:41 | |
| |
Extra Example 2: Clay Hits Block |
8:35 | |
| |
Extra Example 3: Bullet Hits Block |
11:37 | |
| |
Extra Example 4: Child Runs onto Sled |
7:24 | |
|
Collisions, Part 2 |
1:18:48 |
| |
Intro |
0:00 | |
| |
Elastic Collision: One Object Stationary |
0:28 | |
| |
| Example: Stationary Object and Moving Object |
0:42 | |
| |
| Conservation of Momentum |
2:48 | |
| |
| Mechanical Energy Conservation |
3:43 | |
| |
Elastic Collision: Both Objects Moving |
17:34 | |
| |
| Example: Both Objects Moving Towards Each Other |
17:48 | |
| |
| Kinetic Energy Conservation |
19:20 | |
| |
Collision With a Spring-Block System |
29:17 | |
| |
| Example: Object of Mass Moving with Velocity |
29:30 | |
| |
| Object Attached to Spring of Mass with Velocity |
29:50 | |
| |
| Two Objects Attached to a Spring |
31:30 | |
| |
| Compression of Spring after Collision |
33:41 | |
| |
| Before Collision: Total Energy (Conservation of Energy) |
37:25 | |
| |
| After Collision: Total Energy |
38:49 | |
| |
Collision in Two Dimensions |
42:29 | |
| |
| Object Stationary and Other Object is Moving |
42:46 | |
| |
| Head on Collision (In 1 Dimension) |
44:07 | |
| |
| Momentum Before Collision |
45:45 | |
| |
| Momentum After Collision |
46:06 | |
| |
| If Collision is Elastic (Conservation of Kinetic Energy) Before Collision |
50:29 | |
| |
Example |
51:58 | |
| |
| Objects Moving in Two Directions |
52:33 | |
| |
| Objects Collide and Stick Together (Inelastic Collision) |
53:28 | |
| |
| Conservation of Momentum |
54:17 | |
| |
| Momentum in X-Direction |
54:27 | |
| |
| Momentum in Y-Direction |
56:15 | |
| |
Maximum Height after Collision |
10:34 | |
| |
Extra Example 2: Two Objects Hitting a Spring |
7:05 | |
| |
Extra Example 3: Mass Hits and Sticks |
2:58 | |
|
Center of Mass, Part 1 |
1:33:46 |
| |
Collection of Particles |
0:13 | |
| |
| System of Coordinates |
0:40 | |
| |
| Coordinates of Center of Mass |
2:25 | |
| |
Four Particles |
10:10 | |
| |
| Center of Mass at Xcm |
13:20 | |
| |
| Center of Mass at Ycm |
15:07 | |
| |
Extended Objects |
17:00 | |
| |
| Consider a Object |
17:30 | |
| |
| Dividing Object in to Smaller Particles |
19:07 | |
| |
| Divide the Volume N into Pieces |
23:10 | |
| |
Center of Mass of a Rod |
31:02 | |
| |
| Total Mass of Rod |
35:30 | |
| |
Center of Mass of a Right Angle |
42:27 | |
| |
| Right Triangle Placed in Coordinates |
42:40 | |
| |
| Tiny Strip on a Triangle |
45:05 | |
| |
| Intersection of a Point |
56:19 | |
| |
Extra Example 1: Center of Mass Two Objects |
12:56 | |
| |
Extra Example 2: Bent Rod Center of Mass |
15:17 | |
| |
Extra Example 3: Triangle Center of Mass |
7:50 | |
|
Center of Mass, Part 2 |
1:19:15 |
| |
Intro |
0:00 | |
| |
Motion of a System of Particles |
0:53 | |
| |
| Position Vector of Center of Mass |
2:30 | |
| |
| Total Momentum |
7:08 | |
| |
| Net Force Acting on a Particle |
9:32 | |
| |
Exploding a Projectile |
19:12 | |
| |
| Shooting a Projectile in x-z Plane |
19:50 | |
| |
| Projectile Explodes into 2 pieces of Equal Mass |
27:19 | |
| |
Rocket Propulsion |
35:09 | |
| |
| Rocket with Mass m and Velocity v |
35:25 | |
| |
Rocket in Space |
53:39 | |
| |
| Rocket in Space with Speed=3000m/s |
53:48 | |
| |
| Engine is Turned On |
54:19 | |
| |
| Final Mass=1/2 Initial Mass |
57:15 | |
| |
| Speed after Fuel is Burned |
58:09 | |
| |
Extra Example 1: Ball Inelastic Hits Other Ball |
12:35 | |
| |
Extra Example 2: Rocket Launch Thrust |
6:47 | |
|
Rotation of a Rigid Body About a Fixed Axis |
1:13:20 |
| |
Intro |
0:00 | |
| |
Particle in Circular Motion |
0:11 | |
| |
| Specify a Position of a Particle |
0:55 | |
| |
| Radian |
3:02 | |
| |
| Angular Displacement |
8:50 | |
| |
Rotation of a Rigid Body |
15:36 | |
| |
| Example: Rotating Disc |
16:17 | |
| |
| Disk at 5 Revolution/Sec |
17:24 | |
| |
| Different Points on a Disk Have Different Speeds |
21:56 | |
| |
| Angular Velocity |
23:03 | |
| |
Constant Angular Acceleration: Kinematics |
31:11 | |
| |
| Rotating Disc |
31:42 | |
| |
| Object Moving Along x-Axis (Linear Case) |
33:05 | |
| |
| If Alpha= Constant |
35:15 | |
| |
Rotational Kinetic Energy |
42:11 | |
| |
| Rod in X-Y Plane, Fixed at Center |
42:43 | |
| |
| Kinetic Energy |
46:45 | |
| |
| Moment of Inertia |
52:46 | |
| |
Moment of Inertia for Certain Shapes |
54:06 | |
| |
| Rod at Center |
54:47 | |
| |
| Ring |
55:45 | |
| |
| Disc |
56:35 | |
| |
| Cylinder |
56:56 | |
| |
| Sphere |
57:20 | |
| |
Extra Example 1: Rotating Wheel |
6:44 | |
| |
Extra Example 2: Two Spheres Attached to Rotating Rod |
8:45 | |
|
Moment of Inertia |
1:32:22 |
| |
Intro |
0:00 | |
| |
Review of Kinematic Rotational Equation |
0:12 | |
| |
| Rigid Body Rotation on a Axis |
0:29 | |
| |
| Constant Angular Acceleration |
10:17 | |
| |
Rotational Kinetic Energy |
16:33 | |
| |
| Particle Moving in a Circle |
16:42 | |
| |
| Moment of Inertia |
22:43 | |
| |
Moment of Inertia of a Uniform Rod |
25:10 | |
| |
| Dividing the Body in Many Pieces |
27:40 | |
| |
| Total Mass=M Lamda=m/l |
29:21 | |
| |
| Axis Through the Center of Mass |
34:02 | |
| |
Uniform Solid Cylinder |
35:13 | |
| |
| Cylinder of Length L |
35:25 | |
| |
| Finding Moment of Inertia I=∫r2 dm |
36:04 | |
| |
| Volume of Cylinder |
40:02 | |
| |
Other Shapes |
44:37 | |
| |
| Ring |
45:08 | |
| |
| Disc |
45:22 | |
| |
| Sphere |
45:50 | |
| |
| Spherical Shell |
45:49 | |
| |
Parallel Axis Theorem |
46:46 | |
| |
| Object with Center of Mass |
47:12 | |
| |
| Consider Another Axis Parallel to Primary Axis |
47:35 | |
| |
Extra Example 1: Moment of Inertia for Ring and Disk |
10:39 | |
| |
Extra Example 2: Moment of Inertia for Sphere |
12:56 | |
| |
Extra Example 3: Moment of Inertia for Spherical Shell |
11:41 | |
|
Angular Momentum |
1:03:48 |
| |
Intro |
0:00 | |
| |
Angular Momentum of Particle |
0:06 | |
| |
| Magnitude of Angular Momentum |
2:27 | |
| |
| Right Hand Rule |
3:00 | |
| |
| Particle Moving in Circular Motions |
4:18 | |
| |
Angular Momentum of a Rigid Body |
6:44 | |
| |
| Consider a Rigid Body |
7:06 | |
| |
| Z Axis Through Center |
7:27 | |
| |
| Rotate About the Z-Axis |
18:57 | |
| |
Example |
19:36 | |
| |
| Rotating in Circular Motion |
20:08 | |
| |
| Consider a Mass on the Rigid Body |
20:38 | |
| |
| Angular Momentum of Disk |
26:14 | |
| |
Rotation About an Axis of Symmetry |
26:27 | |
| |
| Perpendicular to Symmetry |
27:35 | |
| |
| Cylinder |
29:02 | |
| |
| Sphere |
29:23 | |
| |
| Rotating on Axis |
29:40 | |
| |
| Rigid Body Rotates About Axis of Symmetry |
40:33 | |
| |
The Z-Component of Angular Momentum |
40:56 | |
| |
| Consider any Dmi on The Surface |
41:57 | |
| |
Example |
49:40 | |
| |
| Cylinder |
49:55 | |
| |
Extra Example 1: Rod Angular Momentum |
5:46 | |
| |
Extra Example 2: Particle Angular Momentum |
4:20 | |
|
Rotational Dynamics |
1:19:59 |
| |
Intro |
0:00 | |
| |
Torque |
0:10 | |
| |
| Object Fixed at Center |
1:34 | |
| |
| τ=r Fsin θ |
11:14 | |
| |
Relation of Torque to Angular Momentum |
11:47 | |
| |
| Derivative of Momentum |
12:34 | |
| |
| Consider a Particle With Velocity =V |
13:51 | |
| |
| For a Rigid Body |
16:45 | |
| |
Equation of Rotational Motion |
25:23 | |
| |
| Object Rigid Body Rotating on Axis |
27:14 | |
| |
| Torque Acting on the Object |
27:36 | |
| |
| Torque About Axis of Rotation |
30:55 | |
| |
Block and a Pulley |
31:55 | |
| |
| Rope with Mass=m and Radius of Pulley |
32:40 | |
| |
| Finding Acceleration and Tension |
37:26 | |
| |
Atwood's Machine |
41:57 | |
| |
| Pulley with Masses m1, m2 and Radius R |
42:49 | |
| |
| Acceleration |
50:15 | |
| |
Extra Example 1: Uniform Rod |
8:49 | |
| |
Extra Example 2: Two Blocks with Strings |
12:40 | |
| |
Extra Example 3: Thin Disk |
7:00 | |
|
Energy Consideration by Rotational Motion |
1:10:28 |
| |
Intro |
0:00 | |
| |
Work Done By Torque |
0:15 | |
| |
| Rigid Body Rotating about Z-axis |
1:33 | |
| |
| Rigid Body Rotating about Z-axis |
3:01 | |
| |
| Point p Rotates on Circle and Perpendicular to z |
4:19 | |
| |
Work Kinetic Energy Theorem for Rotational Motion |
15:36 | |
| |
| Work Done By Torque |
16:43 | |
| |
| Work Done By Net Torque=Kf-Ki |
20:31 | |
| |
Conservation of Mechanical Energy in Rotational Motion |
21:41 | |
| |
| Conservation Force Acting |
22:40 | |
| |
| Work Done by Gravity |
23:15 | |
| |
| Work Done by Torque |
25:38 | |
| |
Power Delivered by Torque |
27:12 | |
| |
| Power by Force |
27:58 | |
| |
Rotating Rod |
30:03 | |
| |
| Rod Clamped at One End |
30:35 | |
| |
| Angular Speed |
30:50 | |
| |
| Moment of Inertia About Axis of Rotation |
35:15 | |
| |
| Speed of Free End |
37:40 | |
| |
Another Rotating Rod |
37:59 | |
| |
| Rod Standing on Surface |
38:37 | |
| |
| End Does Not Slip |
39:01 | |
| |
| Speed of Free End |
41:20 | |
| |
| Strikes Ground |
42:13 | |
| |
Extra Example 1: Peg and String |
5:51 | |
| |
Extra Example 2: Solid Disk |
9:50 | |
| |
Extra Example 3: Rod and Sphere |
12:03 | |
|
Conservation of Angular Momentum |
1:06:57 |
| |
Intro |
0:00 | |
| |
Conservation of Angular Momentum in an Isolated System |
0:13 | |
| |
| Linear Case |
0:45 | |
| |
| Torque=Rate if Changed in Angular Momentum |
1:29 | |
| |
| Isolated System |
1:59 | |
| |
Neutron Star |
4:13 | |
| |
| Star Rotates About Some Axis |
4:31 | |
| |
Merry Go Round |
12:50 | |
| |
| Consider a Large Disc |
13:06 | |
| |
| Total Angular Momentum Calculated |
18:59 | |
| |
Sticky Clay Sticking a Rod |
19:07 | |
| |
| Rod of Length L With Pivot at End |
19:37 | |
| |
| Piece of Clay of Mass m and Velocity v |
19:45 | |
| |
| Angular Momentum Calculated |
28:58 | |
| |
Extra Example 1: Rod with Beads |
8:38 | |
| |
Extra Example 2: Mass Striking Rod |
8:42 | |
| |
Extra Example 3: Wood Block and Bullet |
20:32 | |
|
Rolling Motion |
1:36:09 |
| |
Intro |
0:00 | |
| |
Pure Rolling Motion |
0:10 | |
| |
| Disc Rolling on a Surface R (Rolling Without Sipping) |
0:50 | |
| |
| When Disc Rotates, Center of Mass Moves |
5:48 | |
| |
| Acceleration of Center of Mass |
8:43 | |
| |
Kinetic Energy |
11:03 | |
| |
| Object in Pure Rotation |
11:16 | |
| |
| Pure Translation |
13:28 | |
| |
| Rotation and Translation |
15:24 | |
| |
Cylinder Rolling Down an Incline |
23:55 | |
| |
| Incline |
24:15 | |
| |
| Cylinder Starts From Rest |
24:44 | |
| |
Which Moves Faster |
37:02 | |
| |
| Rolling a Ring, Disc, Sphere |
37:19 | |
| |
| Ring I=Mr2 |
41:30 | |
| |
| Disc I= 1/2 Mr2 |
42:31 | |
| |
| Sphere I= 2/5 mr2 |
43:21 | |
| |
Which Goes Faster |
49:15 | |
| |
| Incline with a Object Towards the Inclination |
49:30 | |
| |
Extra Example 1: Rolling Cylinder |
15:16 | |
| |
Extra Example 2: Nonuniform Cylinder |
7:55 | |
| |
Extra Example 3: String Around Disk |
15:05 | |
|
Universal Gravitation |
1:09:20 |
| |
Intro |
0:00 | |
| |
Newton's Law of Gravity |
0:09 | |
| |
| Two Particles of Mass m1,m2 |
1:22 | |
| |
| Force of Attraction |
3:02 | |
| |
| Sphere and Small Particle of Mass m |
4:39 | |
| |
| Two Spheres |
5:35 | |
| |
Variation of g With Altitude |
7:24 | |
| |
| Consider Earth as an Object |
7:33 | |
| |
| Force Applied To Object |
9:27 | |
| |
| At or Near Surface of Earth |
11:51 | |
| |
Satellites |
15:39 | |
| |
| Earth and Satellite |
15:45 | |
| |
| Geosynchronous Satellite |
21:25 | |
| |
Gravitational Potential Energy |
27:32 | |
| |
| Object and Earth Potential Energy=mgh |
24:45 | |
| |
| P.E=0 When Objects are Infinitely Separated |
30:32 | |
| |
| Total Energy |
38:28 | |
| |
| If Object is Very Far From Earth, R=Infinity |
40:25 | |
| |
Escape |
42:33 | |
| |
| Shoot an Object Which Should Not Come Back Down |
43:06 | |
| |
| Conservation of Energy |
48:48 | |
| |
| Object at Maximum Height (K.E=0) |
45:22 | |
| |
| Escape Velocity (Rmax = Infinity) |
46:50 | |
| |
Extra Example 1: Density of Earth and Moon |
7:09 | |
| |
Extra Example 2: Satellite Orbiting Earth |
11:54 | |
|
Kepler's Laws |
1:12:25 |
| |
Intro |
0:00 | |
| |
Kepler's First law |
2:18 | |
| |
| Any Point on Ellipse |
4:33 | |
| |
| Semi Major Axis |
6:35 | |
| |
| Semi Minor Axis |
7:05 | |
| |
| Equation of Ellipse |
7:32 | |
| |
| Eccentricity |
16:05 | |
| |
Kepler's Second Law |
19:46 | |
| |
| Radius Vector |
20:31 | |
| |
| Torque by Force of Gravity |
25:00 | |
| |
Kepler's Third Law |
36:49 | |
| |
| Time Take for the Planet to make 1 Revolution |
37:20 | |
| |
| Period |
41:26 | |
| |
Mass of Sun |
43:39 | |
| |
| Orbit of Earth is Almost Circle |
45:11 | |
| |
Extra Example 1: Halley's Comet |
11:18 | |
| |
Extra Example 2: Two Planets Around Star |
6:27 | |
| |
Extra Example 3: Neutron Star |
3:34 | |
|
Energy and Gravitation |
35:04 |
| |
Intro |
0:00 | |
| |
Gravitational Potential Energy |
0:10 | |
| |
| Conservative Force |
1:45 | |
| |
| Along Path A ∫f.dr=0 |
7:35 | |
| |
| Along Path B ∫f.dr=-1 |
10:30 | |
| |
| Δu= ∫f r1 to r2 |
10:58 | |
| |
Near the Surface of the Earth |
17:07 | |
| |
| Two Points on Surface of Earth |
17:22 | |
| |
Planets and Satellites |
24:40 | |
| |
| Circular Orbits |
24:59 | |
| |
| Elliptical Orbits |
30:54 | |
|
Static Equilibrium |
1:38:57 |
| |
Intro |
0:00 | |
| |
Torque |
0:09 | |
| |
| Introduction to Torque |
0:16 | |
| |
| Rod in X-Y Direction |
0:30 | |
| |
Particle in Equilibrium |
18:15 | |
| |
| Particle in Equilibrium, Net Force=0 |
18:30 | |
| |
| Extended Object Like a Rod |
19:13 | |
| |
| Conditions of Equilibrium |
26:34 | |
| |
| Forces Acting on Object (Proof of Torque) |
31:46 | |
| |
The Lever |
35:38 | |
| |
| Rod on Lever with Two Masses |
35:51 | |
| |
Standing on a Supported Beam |
40:53 | |
| |
| Example : Wall and Beam Rope Connect Beam and Wall |
41:00 | |
| |
| Net Force |
45:38 | |
| |
| Net Torque |
48:33 | |
| |
| Finding ø |
52:50 | |
| |
Ladder About to Slip |
53:38 | |
| |
| Example: Finding Angle ø Where Ladder Doesn't slip |
53:44 | |
| |
Extra Example 1: Bear Retrieving Basket |
19:42 | |
| |
Extra Example 2: Sliding Cabinet |
20:09 | |
|
Simple Harmonic System Spring Block System |
1:02:35 |
| |
Intro |
0:00 | |
| |
Restoring Force |
0:41 | |
| |
| Spring Attached to a Block |
0:53 | |
| |
| Spring Stretched |
1:58 | |
| |
| Force=Kx (K=Force Constant) |
5:45 | |
| |
Simple Harmonic Motion |
11:31 | |
| |
| According to Newton's Law F=mxa |
11:55 | |
| |
| Equation of Motion |
15:15 | |
| |
Frequency, Period, Velocity, and Acceleration |
34:23 | |
| |
| Object Without Stretching |
34:52 | |
| |
| Object Stretched |
35:15 | |
| |
| Acceleration a=dv/dt |
43:20 | |
| |
Block Spring System |
53:01 | |
| |
| Object Being Compressed |
53:26 | |
| |
Energy Consideration |
57:47 | |
| |
Example |
59:48 | |
| |
| Spring Being Compressed |
59:55 | |
|
The Pendulum |
1:01:55 |
| |
Intro |
0:00 | |
| |
Simple Pendulum |
0:07 | |
| |
| Mass Attached to the String |
0:25 | |
| |
| Torque=mgr Perpendicular |
7:34 | |
| |
| Moment of Inertia |
15:36 | |
| |
| When φ<<1 |
24:30 | |
| |
Example |
33:13 | |
| |
| Mass Hanging with 1kg and Length 1 M and Velocity 2m |
33:26 | |
| |
| Period |
34:50 | |
| |
| Frequency |
35:40 | |
| |
| Ki+ui=Kf+uf |
37:01 | |
| |
Physical Pendulum |
41:39 | |
| |
| Rigid Body with a Pivot and let it Oscillate |
42:00 | |
| |
| Torque Produced |
47:58 | |
| |
Example |
53:35 | |
| |
| Rod Fixed and Made to Oscillated |
53:40 | |
| |
| Period |
54:40 | |
| |
| Torsional Pendulum |
57:57 | |
| |
| Mass Suspended with a Torsional Fiber |
58:15 | |
| |
| Torque Produced |
58:55 | |
| |
Example |
60:05 | |
| |
| Wire With Torsional -K |
60:11 | |
|
Damped and Forced Oscillation |
53:35 |
| |
Intro |
0:00 | |
| |
Damped Oscillation |
0:11 | |
| |
| Spring Oscillation |
0:45 | |
| |
| Force of Friction F=-bv |
5:20 | |
| |
| Spring in Absence of Friction |
6:10 | |
| |
| No Damping |
8:29 | |
| |
| In Presence of Damping |
8:41 | |
| |
Example |
21:07 | |
| |
| Pendulum Oscillating at 10 Degrees |
21:23 | |
| |
| After 10 Min Amplitude Becomes 5 Degrees |
22:10 | |
| |
Forced Oscillation |
30:18 | |
| |
| Spring Oscillating up and Down, Applying Force |
35:25 | |
| |
| Steady State Solution |
41:49 | |
| |
Example |
46:48 | |
| |
| Spring with Object Mass=0.1 kg |
47:05 | |