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Playlist · MIT OpenCourseWare

MIT 8.01SC Classical Mechanics, Fall 2016

by MIT OpenCourseWare · 215 videos

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1h 38m

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Videos (215)

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1 8.01SC Classical Mechanics Introduction 2:15 2017-09-22
2 0.1 Vectors vs. Scalars 1:07 2017-06-02
3 0.2 Vector Operators 2:14 2017-06-02
4 0.3 Coordinate Systems and Unit Vectors 1:04 2017-06-02
5 0.4 Vectors - Magnitude and Direction 0:40 2017-06-02
6 0.5 Vector Decomposition into components 1:38 2017-06-02
7 0.6 Going Between Representations 1:36 2017-06-02
8 1.0 Week 1 Introduction (8.01 Classical Mechanics) 2:15 2017-06-02
9 1.1 Coordinate Systems and Unit Vectors in 1D 3:06 2017-06-02
10 1.2 Position Vector in 1D 2:25 2017-06-02
11 1.3 Displacement Vector in 1D 3:28 2017-06-02
12 1.4 Average Velocity in 1D 2:18 2017-06-02
13 1.5 Instantaneous Velocity in 1D 5:40 2017-06-02
14 1.7 Worked Example: Derivatives in Kinematics 3:08 2017-06-02
15 2.1 Introduction to Acceleration 3:26 2017-06-02
16 2.2 Acceleration in 1D 4:29 2017-06-02
17 2.3 Worked Example: Acceleration from Position 3:45 2017-06-02
18 2.4 Integration 22:34 2017-06-02
19 3.1 Coordinate System and Position Vector in 2D 2:17 2017-06-02
20 3.2 Instantaneous Velocity in 2D 6:12 2017-06-02
21 3.3 Instantaneous Acceleration in 2D 5:20 2017-06-02
22 3.4 Projectile Motion 6:12 2017-06-02
23 3.5 Demo: Shooting an Apple 0:52 2017-06-02
24 3.5 Demo: Relative Motion Gun 0:35 2017-06-02
25 PS.1.1 Three Questions Before Starting 2:07 2017-06-02
26 PS.1.2 Shooting the apple solution 10:19 2017-06-02
27 P.1.3 Worked Example: Braking Car 6:47 2017-06-02
28 P.1.4 Sketch the Motion 2:10 2017-06-02
29 P.1.5 Worked Example: Pedestrian and Bike at Intersection 13:59 2017-06-02
30 4.0 Week 2 Introduction 2:23 2017-06-02
31 4.1 Newton's First and Second Laws 4:16 2017-06-02
32 4.2 Newton's Third Law 7:15 2017-06-02
33 4.3 Reference Frames 9:26 2017-06-02
34 4.4 Non-inertial Reference Frames 4:38 2017-06-02
35 5.1 Universal Law of Gravitation 6:55 2017-06-02
36 5.2 Worked Example: Gravity - Superposition 8:46 2017-06-02
37 5.3 Gravity at the surface of the Earth: The value of g. 4:49 2017-06-02
38 6.1 Contact Forces 3:18 2017-06-02
39 6.2 Static Friction 3:20 2017-06-02
40 7.1 Pushing Pulling and Tension 4:17 2017-06-02
41 7.2 Ideal Rope 4:58 2017-06-02
42 7.3 Solving Pulley Systems 9:56 2017-06-02
43 7.4 Hooke's Law 6:00 2017-06-02
44 DD.1.1 Friction at the Nanoscale 39:12 2017-06-02
45 PS.2.1 Worked Example - Sliding Block 6:20 2017-06-02
46 PS.2.2 Worked Example - Stacked Blocks - Free Body Diagrams and Applying Newtons 2nd Law 8:13 2017-06-02
47 PS.2.2 Worked Example - Stacked Blocks - Solve for the Maximum Force 4:44 2017-06-02
48 PS.2.2 Worked Example - Stacked Blocks - Choosing the System of 2 Blocks Together 5:28 2017-06-02
49 PS.2.3 Window Washer Free Body Diagrams 10:13 2017-06-02
50 PS.2.3 Window Washer Solution 2:26 2017-06-02
51 Newton's 3rd Law Pairs 4:18 2017-06-02
52 Internal and External Forces 3:44 2017-06-02
53 Applying Newton's 2nd Law 3:17 2017-06-02
54 8.0 Week 3 Introduction 1:27 2017-06-02
55 8.1 Polar Coordinates 3:35 2017-06-02
56 8.2 Circular Motion: Position and Velocity Vectors 6:02 2017-06-02
57 8.3 Angular Velocity 5:31 2017-06-02
58 9.1 Uniform Circular Motion 3:50 2017-06-02
59 9.2 Uniform Circular Motion: Direction of the Acceleration 3:36 2017-06-02
60 10.1 Circular Motion - Acceleration 4:00 2017-06-02
61 10.2 Angular Acceleration 6:21 2017-06-02
62 10.3 Worked Example - Angular position from angular acceleration. 4:45 2017-06-02
63 11.1 Newton's 2nd Law and Circular Motion 3:17 2017-06-02
64 11.2 Worked Example - Car on a Banked Turn 7:37 2017-06-02
65 11.3 Demo: Rotating Bucket 0:40 2017-06-02
66 PS.3.1 Worked Example - Orbital Circular Motion - Radius 3:44 2017-06-02
67 PS.3.1 Worked Example - Orbital Circular Motion - Velocity 1:07 2017-06-02
68 PS.3.1 Worked Example - Orbital Circular Motion - Period 1:40 2017-06-02
69 12.0 Week 4 Introduction 2:16 2017-06-02
70 12.1 Pulley Problems 10:30 2017-06-02
71 12.2 Constraint Condition 7:07 2017-06-02
72 12.3 Virtual Displacement 3:43 2017-06-02
73 12.4 Solve the System of Equations 4:04 2017-06-02
74 12.5 Worked Example: 2 Blocks and 2 Pulleys 8:41 2017-06-02
75 13.1 Rope Hanging Between Trees 3:36 2017-06-02
76 13.2 Differential Analysis of a Massive Rope 15:34 2017-06-02
77 13.3 Differential Elements 1:04 2017-06-02
78 13.4 Density 0:52 2017-06-02
79 13.5 Demo: Wrapping Friction 1:01 2017-06-02
80 13.6 Summary for Differential Analysis 1:18 2017-06-02
81 14.1 Intro to resistive forces 4:52 2017-06-02
82 14.2 Resistive forces - low speed case 8:26 2017-06-02
83 14.3 Resistive forces - high speed case 10:50 2017-06-02
84 15.0 Week 5 Introduction 2:28 2017-06-02
85 15.1 Momentum and Impulse 7:21 2017-06-02
86 15.2 Impulse is a Vector 3:16 2017-06-02
87 15.3 Worked Example - Bouncing Ball 6:38 2017-06-02
88 15.4 Momentum of a System of Point Particles 4:45 2017-06-02
89 15.5 Force on a System of Particles 9:06 2017-06-02
90 16.1 Cases of Constant Momentum 5:34 2017-06-02
91 16.2 Momentum Diagrams 5:18 2017-06-02
92 17.1 Definition of the Center of Mass 4:32 2017-06-02
93 17.2 Worked Example - Center of Mass of 3 Objects 7:14 2017-06-02
94 17.3 Center of Mass of a Continuous System 2:55 2017-06-02
95 17.5 Worked Example - Center of Mass of a Uniform Rod 5:51 2017-06-02
96 17.6 Velocity and Acceleration of the Center of Mass 4:16 2017-06-02
97 17.7 Reduction of a System to a Point Particle 4:03 2017-06-02
98 18.0 Week 6 Introduction 0:53 2017-06-02
99 18.1 Relative Velocity 1:57 2017-06-02
100 18.2 Set up a Recoil Problem 6:28 2017-06-02
101 18.3 Solve for Velocity in the Ground Frame 3:00 2017-06-02
102 18.4 Solve for Velocity in the Moving Frame 2:09 2017-06-02
103 19.1 Rocket Problem 1 - Set up the Problem 3:48 2017-06-02
104 19.2 Rocket Problem 2 - Momentum Diagrams 5:00 2017-06-02
105 19.3 Rocket Problem 3 - Mass Relations 2:50 2017-06-02
106 19.4 Rocket Problem 4 - Solution 5:30 2017-06-02
107 19.5 Rocket Problem 5 - Thrust and External Forces 3:28 2017-06-02
108 19.6 Rocket Problem 6 - Solution for No External Forces 5:10 2017-06-02
109 19.7 Rocket Problem 7 - Solution with External Forces 5:07 2017-06-02
110 PS.6.1 Rocket Sled - Differential Equation 3:11 2017-06-02
111 PS.6.1 Rocket Sled - Integrate the Rocket Equation 3:33 2017-06-02
112 PS.6.1 Rocket Sled - Solve for Initial Velocity 1:03 2017-06-02
113 PS.6.2 Snowplow Problem 8:11 2017-06-02
114 20.0 Week 7 Introduction 2:04 2017-06-02
115 20.1 Kinetic Energy 2:41 2017-06-02
116 20.2 Work by a Constant Force 3:44 2017-06-02
117 20.3 Work by a Non-Constant Force 6:20 2017-06-02
118 20.4 Integrate adt and adx 4:50 2017-06-02
119 20.5 Work-Kinetic Energy Theorem 1:56 2017-06-02
120 20.6 Power 1:07 2017-06-02
121 21.1 Scalar Product Properties 7:47 2017-06-02
122 21.2 Scalar Product in Cartesian Coordinates 4:50 2017-06-02
123 21.3 Kinetic Energy as a Scalar Product 2:01 2017-06-02
124 21.4 Work in 2D and 3D 5:25 2017-06-02
125 21.5 Work-Kinetic Energy Theorem in 2D and 3D 5:51 2017-06-02
126 21.6 Worked Example: Block Going Down a Ramp 5:59 2017-06-02
127 22.1 Path Independence - Gravity 5:39 2017-06-02
128 22.2 Path Dependence - Friction 5:17 2017-06-02
129 22.3 Conservative Forces 2:30 2017-06-02
130 22.4 Non-conservative Forces 1:44 2017-06-02
131 22.5 Summary of Work and Kinetic Energy 7:00 2017-06-02
132 PS.7.1 Worked Example - Collision and Sliding on a Rough Surface 6:47 2017-06-02
133 23.0 Week 8 Introduction 0:55 2017-06-02
134 23.1 Introduction to Potential Energy 9:51 2017-06-02
135 23.2 Potential Energy of Gravity near the Surface of the Earth 3:54 2017-06-02
136 23.3 Potential Energy Reference State 5:01 2017-06-02
137 23.4 Potential Energy of a Spring 5:20 2017-06-02
138 23.5 Potential Energy of Gravitation 7:40 2017-06-02
139 24.1 Mechanical Energy and Energy Conservation 5:56 2017-06-02
140 24.2 Energy State Diagrams 5:34 2017-06-02
141 24.3 Worked Example - Block Sliding Down Circular Slope 7:28 2017-06-02
142 24.4 Newton's 2nd Law and Energy Conservation 5:28 2017-06-02
143 25.1 Force is the Derivative of Potential 3:59 2017-06-02
144 25.2 Stable and Unstable Equilibrium Points 7:22 2017-06-02
145 25.3 Reading Potential Energy Diagrams 5:22 2017-06-02
146 26.0 Week 9 Introduction 1:34 2017-06-02
147 26.1 Momentum in Collisions 4:12 2017-06-02
148 26.2 Kinetic Energy in Collisions 5:14 2017-06-02
149 26.3 Totally Inelastic Collisions 4:47 2017-06-02
150 27.1 Worked Example: Elastic 1D Collision 10:33 2017-06-02
151 27.2 Relative Velocity in 1D 3:43 2017-06-02
152 27.3 Kinetic Energy and Momentum Equation 7:09 2017-06-02
153 27.4 Worked Example: Elastic 1D Collision Again 5:23 2017-06-02
154 27.5 Worked Example: Gravitational Slingshot 4:45 2017-06-02
155 27.6 2D Collisions 6:46 2017-06-02
156 DD.2.1 Position in the CM Frame 4:33 2017-06-02
157 DD.2.2 Relative Velocity is Independent of Reference Frame 3:43 2017-06-02
158 DD.2.3 1D Elastic Collision Velocities in CM Frame 3:46 2017-06-02
159 DD.2.4 Worked Example: 1D Elastic Collision in CM Frame 6:02 2017-06-02
160 DD.2.5 Kinetic Energy in Different Reference Frames 6:06 2017-06-02
161 DD.2.6 Kinetic Energy in the CM Frame 4:27 2017-06-02
162 DD.2.7 Change in the Kinetic Energy 3:53 2017-06-02
163 28.0 Week 10 Introduction 2:36 2017-06-02
164 28.1 Rigid Bodies 3:01 2017-06-02
165 28.2 Introduction to Translation and Rotation 2:39 2017-06-02
166 28.3 Review of Angular Velocity and Acceleration 3:14 2017-06-02
167 29.1 Kinetic Energy of Rotation 6:27 2017-06-02
168 29.2 Moment of Inertia of a Rod 4:20 2017-06-02
169 29.3 Moment of Inertia of a Disc 5:41 2017-06-02
170 29.4 Parallel Axis Theorem 4:11 2017-06-02
171 29.5 Deep Dive - Moment of Inertia of a Sphere 5:32 2017-06-02
172 29.6 Deep Dive - Derivation of the Parallel Axis Theorem 5:38 2017-06-02
173 30.1 Introduction to Torque and Rotational Dynamics 9:52 2017-06-02
174 30.2 Cross Product 5:09 2017-06-02
175 30.3 Cross Product in Cartesian Coordinates 7:55 2017-06-02
176 30.4 Torque 2:04 2017-06-02
177 30.5 Torque from Gravity 4:44 2017-06-02
178 31.1 Relationship between Torque and Angular Acceleration 9:06 2017-06-02
179 31.2 Internal Torques Cancel in Pairs 3:26 2017-06-02
180 31.3 Worked Example - Find the Moment of Inertia of a Disc from a Falling Mass 7:20 2017-06-02
181 31.4 Worked Example - Atwood Machine 11:02 2017-06-02
182 31.5 Massive Pulley Problems 3:45 2017-06-02
183 31.7 Worked Example - Two Blocks and a Pulley Using Energy 7:37 2017-06-02
184 PS.10.1 Worked Example - Blocks with Friction and Massive Pulley 16:08 2017-06-02
185 32.0 Week 11 Introduction 1:52 2017-06-02
186 32.1 Angular Momentum for a Point Particle 2:39 2017-06-02
187 32.2 Calculating Angular Momentum 3:08 2017-06-02
188 32.3 Worked Example - Angular Momentum About Different Points 6:10 2017-06-02
189 32.4 Angular Momentum of Circular Motion 3:27 2017-06-02
190 33.1 Worked Example - Angular Momentum of 2 Rotating Point Particles 7:00 2017-06-02
191 33.2 Angular Momentum of a Symmetric Object 4:11 2017-06-02
192 33.4 If Momentum is Zero then Angular Momentum is Independent of Origin 5:42 2017-06-02
193 33.5 Kinetic Energy of a Symmetric Object 2:34 2017-06-02
194 34.1 Torque Causes Angular Momentum to Change - Point Particle 2:59 2017-06-02
195 34.2 Torque Causes Angular Momentum to Change - System of Particles 3:56 2017-06-02
196 34.3 Angular Impulse 3:42 2017-06-02
197 34.4 Demo: Bicycle Wheel Demo 0:38 2017-06-02
198 34.5 Worked Example - Particle Hits Pivoted Ring 8:13 2017-06-02
199 35.0 Week 12 Introduction 1:35 2017-06-02
200 35.1 Translation and Rotation of a Wheel 3:18 2017-06-02
201 35.2 Rolling Wheel in the Center of Mass Frame 2:24 2017-06-02
202 35.3 Rolling Wheel in the Ground Frame 2:28 2017-06-02
203 35.4 Rolling Without Slipping Slipping and Skidding 5:57 2017-06-02
204 35.5 Contact Point of a Wheel Rolling Without Slipping 3:38 2017-06-02
205 36.1 Friction on a Rolling Wheel 4:08 2017-06-02
206 36.2 Worked Example - Wheel Rolling Without Slipping Down Inclined Plane - Torque Method 6:05 2017-06-02
207 36.3 Demo: Spool Demo 0:44 2017-06-02
208 36.4 Worked Example - Yoyo Pulled Along the Ground 6:13 2017-06-02
209 36.5 Analyze Force and Torque in Translation and Rotation Problems 3:06 2017-06-02
210 37.1 Kinetic Energy of Translation and Rotation 7:46 2017-06-02
211 37.2 Worked Example - Wheel Rolling Without Slipping Down Inclined Plane 4:14 2017-06-02
212 37.3 Angular Momentum of Translation and Rotation 6:55 2017-06-02
213 DD.3.1 Deep Dive - Gyroscopes - Free Body Diagrams, Torque, and Rotating Vectors 16:57 2017-06-02
214 DD.3.2 Deep Dive - Gyroscopes - Precessional Angular Velocity and Titled Gyroscopes 13:58 2017-06-02
215 DD.3.3 Deep Dive - Gyroscopes - Nutation and Total Angular Momentum 13:25 2017-06-02
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