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 Introduction 02:15
- 0.1 Vectors vs. Scalars 01:07
- 0.2 Vector Operators 02:14
- 0.3 Coordinate Systems and Unit Vectors 01:04
- 0.4 Vectors - Magnitude and Direction 00:40
- 0.5 Vector Decomposition into components 01:38
- 0.6 Going Between Representations 01:36
- 1.0 Week 1 Introduction (8.01 Classical Mechanics) 02:15
- 1.1 Coordinate Systems and Unit Vectors in 1D 03:06
- 1.2 Position Vector in 1D 02:25
- 1.3 Displacement Vector in 1D 03:28
- 1.4 Average Velocity in 1D 02:18
- 1.5 Instantaneous Velocity in 1D 05:40
- 1.7 Worked Example: Derivatives in Kinematics 03:08
- 2.1 Introduction to Acceleration 03:26
- 2.2 Acceleration in 1D 04:29
- 2.3 Worked Example: Acceleration from Position 03:45
- 2.4 Integration 22:34
- 3.1 Coordinate System and Position Vector in 2D 02:17
- 3.2 Instantaneous Velocity in 2D 06:12
- 3.3 Instantaneous Acceleration in 2D 05:20
- 3.4 Projectile Motion 06:12
- 3.5 Demo: Shooting an Apple 00:52
- 3.5 Demo: Relative Motion Gun 00:35
- PS.1.1 Three Questions Before Starting 02:07
- PS.1.2 Shooting the apple solution 10:19
- P.1.3 Worked Example: Braking Car 06:47
- P.1.4 Sketch the Motion 02:10
- P.1.5 Worked Example: Pedestrian and Bike at Intersection 13:59
- 4.0 Week 2 Introduction 02:23
- 4.1 Newton's First and Second Laws 04:16
- 4.2 Newton's Third Law 07:15
- 4.3 Reference Frames 09:26
- 4.4 Non-inertial Reference Frames 04:38
- 5.1 Universal Law of Gravitation 06:55
- 5.2 Worked Example: Gravity - Superposition 08:46
- 5.3 Gravity at the surface of the Earth: The value of g. 04:49
- 6.1 Contact Forces 03:18
- 6.2 Static Friction 03:20
- 7.1 Pushing Pulling and Tension 04:17
- 7.2 Ideal Rope 04:58
- 7.3 Solving Pulley Systems 09:56
- 7.4 Hooke's Law 06:00
- DD.1.1 Friction at the Nanoscale 39:12
- PS.2.1 Worked Example - Sliding Block 06:20
- PS.2.2 Worked Example - Stacked Blocks - Free Body Diagrams and Applying Newtons 2nd Law 08:13
- PS.2.2 Worked Example - Stacked Blocks - Solve for the Maximum Force 04:44
- PS.2.2 Worked Example - Stacked Blocks - Choosing the System of 2 Blocks Together 05:28
- PS.2.3 Window Washer Free Body Diagrams 10:13
- PS.2.3 Window Washer Solution 02:26
- Newton's 3rd Law Pairs 04:18
- Internal and External Forces 03:44
- Applying Newton's 2nd Law 03:17
- 8.0 Week 3 Introduction 01:27
- 8.1 Polar Coordinates 03:35
- 8.2 Circular Motion: Position and Velocity Vectors 06:02
- 8.3 Angular Velocity 05:31
- 9.1 Uniform Circular Motion 03:50
- 9.2 Uniform Circular Motion: Direction of the Acceleration 03:36
- 10.1 Circular Motion - Acceleration 04:00
- 10.2 Angular Acceleration 06:21
- 10.3 Worked Example - Angular position from angular acceleration. 04:45
- 11.1 Newton's 2nd Law and Circular Motion 03:17
- 11.2 Worked Example - Car on a Banked Turn 07:37
- 11.3 Demo: Rotating Bucket 00:40
- PS.3.1 Worked Example - Orbital Circular Motion - Radius 03:44
- PS.3.1 Worked Example - Orbital Circular Motion - Velocity 01:07
- PS.3.1 Worked Example - Orbital Circular Motion - Period 01:40
- 12.0 Week 4 Introduction 02:16
- 12.1 Pulley Problems 10:30
- 12.2 Constraint Condition 07:07
- 12.3 Virtual Displacement 03:43
- 12.4 Solve the System of Equations 04:04
- 12.5 Worked Example: 2 Blocks and 2 Pulleys 08:41
- 13.1 Rope Hanging Between Trees 03:36
- 13.2 Differential Analysis of a Massive Rope 15:34
- 13.3 Differential Elements 01:04
- 13.4 Density 00:52
- 13.5 Demo: Wrapping Friction 01:01
- 13.6 Summary for Differential Analysis 01:18
- 14.1 Intro to resistive forces 04:52
- 14.2 Resistive forces - low speed case 08:26
- 14.3 Resistive forces - high speed case 10:50
- 15.0 Week 5 Introduction 02:28
- 15.1 Momentum and Impulse 07:21
- 15.2 Impulse is a Vector 03:16
- 15.3 Worked Example - Bouncing Ball 06:38
- 15.4 Momentum of a System of Point Particles 04:45
- 15.5 Force on a System of Particles 09:06
- 16.1 Cases of Constant Momentum 05:34
- 16.2 Momentum Diagrams 05:18
- 17.1 Definition of the Center of Mass 04:32
- 17.2 Worked Example - Center of Mass of 3 Objects 07:14
- 17.3 Center of Mass of a Continuous System 02:55
- 17.5 Worked Example - Center of Mass of a Uniform Rod 05:51
- 17.6 Velocity and Acceleration of the Center of Mass 04:16
- 17.7 Reduction of a System to a Point Particle 04:03
- 18.0 Week 6 Introduction 00:53
- 18.1 Relative Velocity 01:57
- 18.2 Set up a Recoil Problem 06:28
- 18.3 Solve for Velocity in the Ground Frame 03:00
- 18.4 Solve for Velocity in the Moving Frame 02:09
- 19.1 Rocket Problem 1 - Set up the Problem 03:48
- 19.2 Rocket Problem 2 - Momentum Diagrams 05:00
- 19.3 Rocket Problem 3 - Mass Relations 02:50
- 19.4 Rocket Problem 4 - Solution 05:30
- 19.5 Rocket Problem 5 - Thrust and External Forces 03:28
- 19.6 Rocket Problem 6 - Solution for No External Forces 05:10
- 19.7 Rocket Problem 7 - Solution with External Forces 05:07
- PS.6.1 Rocket Sled - Differential Equation 03:11
- PS.6.1 Rocket Sled - Integrate the Rocket Equation 03:33
- PS.6.1 Rocket Sled - Solve for Initial Velocity 01:03
- PS.6.2 Snowplow Problem 08:11
- 20.0 Week 7 Introduction 02:04
- 20.1 Kinetic Energy 02:41
- 20.2 Work by a Constant Force 03:44
- 20.3 Work by a Non-Constant Force 06:20
- 20.4 Integrate adt and adx 04:50
- 20.5 Work-Kinetic Energy Theorem 01:56
- 20.6 Power 01:07
- 21.1 Scalar Product Properties 07:47
- 21.2 Scalar Product in Cartesian Coordinates 04:50
- 21.3 Kinetic Energy as a Scalar Product 02:01
- 21.4 Work in 2D and 3D 05:25
- 21.5 Work-Kinetic Energy Theorem in 2D and 3D 05:51
- 21.6 Worked Example: Block Going Down a Ramp 05:59
- 22.1 Path Independence - Gravity 05:39
- 22.2 Path Dependence - Friction 05:17
- 22.3 Conservative Forces 02:30
- 22.4 Non-conservative Forces 01:44
- 22.5 Summary of Work and Kinetic Energy 07:00
- PS.7.1 Worked Example - Collision and Sliding on a Rough Surface 06:47
- 23.0 Week 8 Introduction 00:55
- 23.1 Introduction to Potential Energy 09:51
- 23.2 Potential Energy of Gravity near the Surface of the Earth 03:54
- 23.3 Potential Energy Reference State 05:01
- 23.4 Potential Energy of a Spring 05:20
- 23.5 Potential Energy of Gravitation 07:40
- 24.1 Mechanical Energy and Energy Conservation 05:56
- 24.2 Energy State Diagrams 05:34
- 24.3 Worked Example - Block Sliding Down Circular Slope 07:28
- 24.4 Newton's 2nd Law and Energy Conservation 05:28
- 25.1 Force is the Derivative of Potential 03:59
- 25.2 Stable and Unstable Equilibrium Points 07:22
- 25.3 Reading Potential Energy Diagrams 05:22
- 26.0 Week 9 Introduction 01:34
- 26.1 Momentum in Collisions 04:12
- 26.2 Kinetic Energy in Collisions 05:14
- 26.3 Totally Inelastic Collisions 04:47
- 27.1 Worked Example: Elastic 1D Collision 10:33
- 27.2 Relative Velocity in 1D 03:43
- 27.3 Kinetic Energy and Momentum Equation 07:09
- 27.4 Worked Example: Elastic 1D Collision Again 05:23
- 27.5 Worked Example: Gravitational Slingshot 04:45
- 27.6 2D Collisions 06:46
- DD.2.1 Position in the CM Frame 04:33
- DD.2.2 Relative Velocity is Independent of Reference Frame 03:43
- DD.2.3 1D Elastic Collision Velocities in CM Frame 03:46
- DD.2.4 Worked Example: 1D Elastic Collision in CM Frame 06:02
- DD.2.5 Kinetic Energy in Different Reference Frames 06:06
- DD.2.6 Kinetic Energy in the CM Frame 04:27
- DD.2.7 Change in the Kinetic Energy 03:53
- 28.0 Week 10 Introduction 02:36
- 28.1 Rigid Bodies 03:01
- 28.2 Introduction to Translation and Rotation 02:39
- 28.3 Review of Angular Velocity and Acceleration 03:14
- 29.1 Kinetic Energy of Rotation 06:27
- 29.2 Moment of Inertia of a Rod 04:20
- 29.3 Moment of Inertia of a Disc 05:41
- 29.4 Parallel Axis Theorem 04:11
- 29.5 Deep Dive - Moment of Inertia of a Sphere 05:32
- 29.6 Deep Dive - Derivation of the Parallel Axis Theorem 05:38
- 30.1 Introduction to Torque and Rotational Dynamics 09:52
- 30.2 Cross Product 05:09
- 30.3 Cross Product in Cartesian Coordinates 07:55
- 30.4 Torque 02:04
- 30.5 Torque from Gravity 04:44
- 31.1 Relationship between Torque and Angular Acceleration 09:06
- 31.2 Internal Torques Cancel in Pairs 03:26
- 31.3 Worked Example - Find the Moment of Inertia of a Disc from a Falling Mass 07:20
- 31.4 Worked Example - Atwood Machine 11:02
- 31.5 Massive Pulley Problems 03:45
- 31.7 Worked Example - Two Blocks and a Pulley Using Energy 07:37
- PS.10.1 Worked Example - Blocks with Friction and Massive Pulley 16:08
- 32.0 Week 11 Introduction 01:52
- 32.1 Angular Momentum for a Point Particle 02:39
- 32.2 Calculating Angular Momentum 03:08
- 32.3 Worked Example - Angular Momentum About Different Points 06:10
- 32.4 Angular Momentum of Circular Motion 03:27
- 33.1 Worked Example - Angular Momentum of 2 Rotating Point Particles 07:00
- 33.2 Angular Momentum of a Symmetric Object 04:11
- 33.4 If Momentum is Zero then Angular Momentum is Independent of Origin 05:42
- 33.5 Kinetic Energy of a Symmetric Object 02:34
- 34.1 Torque Causes Angular Momentum to Change - Point Particle 02:59
- 34.2 Torque Causes Angular Momentum to Change - System of Particles 03:56
- 34.3 Angular Impulse 03:42
- 34.4 Demo: Bicycle Wheel Demo 00:38
- 34.5 Worked Example - Particle Hits Pivoted Ring 08:13
- 35.0 Week 12 Introduction 01:35
- 35.1 Translation and Rotation of a Wheel 03:18
- 35.2 Rolling Wheel in the Center of Mass Frame 02:24
- 35.3 Rolling Wheel in the Ground Frame 02:28
- 35.4 Rolling Without Slipping Slipping and Skidding 05:57
- 35.5 Contact Point of a Wheel Rolling Without Slipping 03:38
- 36.1 Friction on a Rolling Wheel 04:08
- 36.2 Worked Example - Wheel Rolling Without Slipping Down Inclined Plane - Torque Method 06:05
- 36.3 Demo: Spool Demo 00:44
- 36.4 Worked Example - Yoyo Pulled Along the Ground 06:13
- 36.5 Analyze Force and Torque in Translation and Rotation Problems 03:06
- 37.1 Kinetic Energy of Translation and Rotation 07:46
- 37.2 Worked Example - Wheel Rolling Without Slipping Down Inclined Plane 04:14
- 37.3 Angular Momentum of Translation and Rotation 06:55
- DD.3.1 Deep Dive - Gyroscopes - Free Body Diagrams, Torque, and Rotating Vectors 16:57
- DD.3.2 Deep Dive - Gyroscopes - Precessional Angular Velocity and Titled Gyroscopes 13:58
- DD.3.3 Deep Dive - Gyroscopes - Nutation and Total Angular Momentum 13:25
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