MIT 8.01SC Classical Mechanics, Fall 2016
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What you'll learn
This course includes
- 18.3 hours of video
- Certificate of completion
- Access on mobile and TV
Course content
1 modules • 215 lessons • 18.3 hours of video
MIT 8.01SC Classical Mechanics, Fall 2016
215 lessons
• 18.3 hours
MIT 8.01SC Classical Mechanics, Fall 2016
215 lessons
• 18.3 hours
- 8.01SC Classical Mechanics Introduction02:15
- 0.1 Vectors vs. Scalars01:07
- 0.2 Vector Operators02:14
- 0.3 Coordinate Systems and Unit Vectors01:04
- 0.4 Vectors - Magnitude and Direction00:40
- 0.5 Vector Decomposition into components01:38
- 0.6 Going Between Representations01:36
- 1.0 Week 1 Introduction (8.01 Classical Mechanics)02:15
- 1.1 Coordinate Systems and Unit Vectors in 1D03:06
- 1.2 Position Vector in 1D02:25
- 1.3 Displacement Vector in 1D03:28
- 1.4 Average Velocity in 1D02:18
- 1.5 Instantaneous Velocity in 1D05:40
- 1.7 Worked Example: Derivatives in Kinematics03:08
- 2.1 Introduction to Acceleration03:26
- 2.2 Acceleration in 1D04:29
- 2.3 Worked Example: Acceleration from Position03:45
- 2.4 Integration22:34
- 3.1 Coordinate System and Position Vector in 2D02:17
- 3.2 Instantaneous Velocity in 2D06:12
- 3.3 Instantaneous Acceleration in 2D05:20
- 3.4 Projectile Motion06:12
- 3.5 Demo: Shooting an Apple00:52
- 3.5 Demo: Relative Motion Gun00:35
- PS.1.1 Three Questions Before Starting02:07
- PS.1.2 Shooting the apple solution10:19
- P.1.3 Worked Example: Braking Car06:47
- P.1.4 Sketch the Motion02:10
- P.1.5 Worked Example: Pedestrian and Bike at Intersection13:59
- 4.0 Week 2 Introduction02:23
- 4.1 Newton's First and Second Laws04:16
- 4.2 Newton's Third Law07:15
- 4.3 Reference Frames09:26
- 4.4 Non-inertial Reference Frames04:38
- 5.1 Universal Law of Gravitation06:55
- 5.2 Worked Example: Gravity - Superposition08:46
- 5.3 Gravity at the surface of the Earth: The value of g.04:49
- 6.1 Contact Forces03:18
- 6.2 Static Friction03:20
- 7.1 Pushing Pulling and Tension04:17
- 7.2 Ideal Rope04:58
- 7.3 Solving Pulley Systems09:56
- 7.4 Hooke's Law06:00
- DD.1.1 Friction at the Nanoscale39:12
- PS.2.1 Worked Example - Sliding Block06:20
- PS.2.2 Worked Example - Stacked Blocks - Free Body Diagrams and Applying Newtons 2nd Law08:13
- PS.2.2 Worked Example - Stacked Blocks - Solve for the Maximum Force04:44
- PS.2.2 Worked Example - Stacked Blocks - Choosing the System of 2 Blocks Together05:28
- PS.2.3 Window Washer Free Body Diagrams10:13
- PS.2.3 Window Washer Solution02:26
- Newton's 3rd Law Pairs04:18
- Internal and External Forces03:44
- Applying Newton's 2nd Law03:17
- 8.0 Week 3 Introduction01:27
- 8.1 Polar Coordinates03:35
- 8.2 Circular Motion: Position and Velocity Vectors06:02
- 8.3 Angular Velocity05:31
- 9.1 Uniform Circular Motion03:50
- 9.2 Uniform Circular Motion: Direction of the Acceleration03:36
- 10.1 Circular Motion - Acceleration04:00
- 10.2 Angular Acceleration06:21
- 10.3 Worked Example - Angular position from angular acceleration.04:45
- 11.1 Newton's 2nd Law and Circular Motion03:17
- 11.2 Worked Example - Car on a Banked Turn07:37
- 11.3 Demo: Rotating Bucket00:40
- PS.3.1 Worked Example - Orbital Circular Motion - Radius03:44
- PS.3.1 Worked Example - Orbital Circular Motion - Velocity01:07
- PS.3.1 Worked Example - Orbital Circular Motion - Period01:40
- 12.0 Week 4 Introduction02:16
- 12.1 Pulley Problems10:30
- 12.2 Constraint Condition07:07
- 12.3 Virtual Displacement03:43
- 12.4 Solve the System of Equations04:04
- 12.5 Worked Example: 2 Blocks and 2 Pulleys08:41
- 13.1 Rope Hanging Between Trees03:36
- 13.2 Differential Analysis of a Massive Rope15:34
- 13.3 Differential Elements01:04
- 13.4 Density00:52
- 13.5 Demo: Wrapping Friction01:01
- 13.6 Summary for Differential Analysis01:18
- 14.1 Intro to resistive forces04:52
- 14.2 Resistive forces - low speed case08:26
- 14.3 Resistive forces - high speed case10:50
- 15.0 Week 5 Introduction02:28
- 15.1 Momentum and Impulse07:21
- 15.2 Impulse is a Vector03:16
- 15.3 Worked Example - Bouncing Ball06:38
- 15.4 Momentum of a System of Point Particles04:45
- 15.5 Force on a System of Particles09:06
- 16.1 Cases of Constant Momentum05:34
- 16.2 Momentum Diagrams05:18
- 17.1 Definition of the Center of Mass04:32
- 17.2 Worked Example - Center of Mass of 3 Objects07:14
- 17.3 Center of Mass of a Continuous System02:55
- 17.5 Worked Example - Center of Mass of a Uniform Rod05:51
- 17.6 Velocity and Acceleration of the Center of Mass04:16
- 17.7 Reduction of a System to a Point Particle04:03
- 18.0 Week 6 Introduction00:53
- 18.1 Relative Velocity01:57
- 18.2 Set up a Recoil Problem06:28
- 18.3 Solve for Velocity in the Ground Frame03:00
- 18.4 Solve for Velocity in the Moving Frame02:09
- 19.1 Rocket Problem 1 - Set up the Problem03:48
- 19.2 Rocket Problem 2 - Momentum Diagrams05:00
- 19.3 Rocket Problem 3 - Mass Relations02:50
- 19.4 Rocket Problem 4 - Solution05:30
- 19.5 Rocket Problem 5 - Thrust and External Forces03:28
- 19.6 Rocket Problem 6 - Solution for No External Forces05:10
- 19.7 Rocket Problem 7 - Solution with External Forces05:07
- PS.6.1 Rocket Sled - Differential Equation03:11
- PS.6.1 Rocket Sled - Integrate the Rocket Equation03:33
- PS.6.1 Rocket Sled - Solve for Initial Velocity01:03
- PS.6.2 Snowplow Problem08:11
- 20.0 Week 7 Introduction02:04
- 20.1 Kinetic Energy02:41
- 20.2 Work by a Constant Force03:44
- 20.3 Work by a Non-Constant Force06:20
- 20.4 Integrate adt and adx04:50
- 20.5 Work-Kinetic Energy Theorem01:56
- 20.6 Power01:07
- 21.1 Scalar Product Properties07:47
- 21.2 Scalar Product in Cartesian Coordinates04:50
- 21.3 Kinetic Energy as a Scalar Product02:01
- 21.4 Work in 2D and 3D05:25
- 21.5 Work-Kinetic Energy Theorem in 2D and 3D05:51
- 21.6 Worked Example: Block Going Down a Ramp05:59
- 22.1 Path Independence - Gravity05:39
- 22.2 Path Dependence - Friction05:17
- 22.3 Conservative Forces02:30
- 22.4 Non-conservative Forces01:44
- 22.5 Summary of Work and Kinetic Energy07:00
- PS.7.1 Worked Example - Collision and Sliding on a Rough Surface06:47
- 23.0 Week 8 Introduction00:55
- 23.1 Introduction to Potential Energy09:51
- 23.2 Potential Energy of Gravity near the Surface of the Earth03:54
- 23.3 Potential Energy Reference State05:01
- 23.4 Potential Energy of a Spring05:20
- 23.5 Potential Energy of Gravitation07:40
- 24.1 Mechanical Energy and Energy Conservation05:56
- 24.2 Energy State Diagrams05:34
- 24.3 Worked Example - Block Sliding Down Circular Slope07:28
- 24.4 Newton's 2nd Law and Energy Conservation05:28
- 25.1 Force is the Derivative of Potential03:59
- 25.2 Stable and Unstable Equilibrium Points07:22
- 25.3 Reading Potential Energy Diagrams05:22
- 26.0 Week 9 Introduction01:34
- 26.1 Momentum in Collisions04:12
- 26.2 Kinetic Energy in Collisions05:14
- 26.3 Totally Inelastic Collisions04:47
- 27.1 Worked Example: Elastic 1D Collision10:33
- 27.2 Relative Velocity in 1D03:43
- 27.3 Kinetic Energy and Momentum Equation07:09
- 27.4 Worked Example: Elastic 1D Collision Again05:23
- 27.5 Worked Example: Gravitational Slingshot04:45
- 27.6 2D Collisions06:46
- DD.2.1 Position in the CM Frame04:33
- DD.2.2 Relative Velocity is Independent of Reference Frame03:43
- DD.2.3 1D Elastic Collision Velocities in CM Frame03:46
- DD.2.4 Worked Example: 1D Elastic Collision in CM Frame06:02
- DD.2.5 Kinetic Energy in Different Reference Frames06:06
- DD.2.6 Kinetic Energy in the CM Frame04:27
- DD.2.7 Change in the Kinetic Energy03:53
- 28.0 Week 10 Introduction02:36
- 28.1 Rigid Bodies03:01
- 28.2 Introduction to Translation and Rotation02:39
- 28.3 Review of Angular Velocity and Acceleration03:14
- 29.1 Kinetic Energy of Rotation06:27
- 29.2 Moment of Inertia of a Rod04:20
- 29.3 Moment of Inertia of a Disc05:41
- 29.4 Parallel Axis Theorem04:11
- 29.5 Deep Dive - Moment of Inertia of a Sphere05:32
- 29.6 Deep Dive - Derivation of the Parallel Axis Theorem05:38
- 30.1 Introduction to Torque and Rotational Dynamics09:52
- 30.2 Cross Product05:09
- 30.3 Cross Product in Cartesian Coordinates07:55
- 30.4 Torque02:04
- 30.5 Torque from Gravity04:44
- 31.1 Relationship between Torque and Angular Acceleration09:06
- 31.2 Internal Torques Cancel in Pairs03:26
- 31.3 Worked Example - Find the Moment of Inertia of a Disc from a Falling Mass07:20
- 31.4 Worked Example - Atwood Machine11:02
- 31.5 Massive Pulley Problems03:45
- 31.7 Worked Example - Two Blocks and a Pulley Using Energy07:37
- PS.10.1 Worked Example - Blocks with Friction and Massive Pulley16:08
- 32.0 Week 11 Introduction01:52
- 32.1 Angular Momentum for a Point Particle02:39
- 32.2 Calculating Angular Momentum03:08
- 32.3 Worked Example - Angular Momentum About Different Points06:10
- 32.4 Angular Momentum of Circular Motion03:27
- 33.1 Worked Example - Angular Momentum of 2 Rotating Point Particles07:00
- 33.2 Angular Momentum of a Symmetric Object04:11
- 33.4 If Momentum is Zero then Angular Momentum is Independent of Origin05:42
- 33.5 Kinetic Energy of a Symmetric Object02:34
- 34.1 Torque Causes Angular Momentum to Change - Point Particle02:59
- 34.2 Torque Causes Angular Momentum to Change - System of Particles03:56
- 34.3 Angular Impulse03:42
- 34.4 Demo: Bicycle Wheel Demo00:38
- 34.5 Worked Example - Particle Hits Pivoted Ring08:13
- 35.0 Week 12 Introduction01:35
- 35.1 Translation and Rotation of a Wheel03:18
- 35.2 Rolling Wheel in the Center of Mass Frame02:24
- 35.3 Rolling Wheel in the Ground Frame02:28
- 35.4 Rolling Without Slipping Slipping and Skidding05:57
- 35.5 Contact Point of a Wheel Rolling Without Slipping03:38
- 36.1 Friction on a Rolling Wheel04:08
- 36.2 Worked Example - Wheel Rolling Without Slipping Down Inclined Plane - Torque Method06:05
- 36.3 Demo: Spool Demo00:44
- 36.4 Worked Example - Yoyo Pulled Along the Ground06:13
- 36.5 Analyze Force and Torque in Translation and Rotation Problems03:06
- 37.1 Kinetic Energy of Translation and Rotation07:46
- 37.2 Worked Example - Wheel Rolling Without Slipping Down Inclined Plane04:14
- 37.3 Angular Momentum of Translation and Rotation06:55
- DD.3.1 Deep Dive - Gyroscopes - Free Body Diagrams, Torque, and Rotating Vectors16:57
- DD.3.2 Deep Dive - Gyroscopes - Precessional Angular Velocity and Titled Gyroscopes13:58
- DD.3.3 Deep Dive - Gyroscopes - Nutation and Total Angular Momentum13:25
