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MIT OpenCourseWare

MIT 8.01SC Classical Mechanics, Fall 2016

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Last updated on Feb 16, 2024
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MIT 8.01SC Classical Mechanics, Fall 2016
View the complete course: http://ocw.mit.edu/8-01F16
Instructors: 
Prof. Deepto Chakrabarty
Dr. Peter Dourmashkin
Dr. Michelle Tomasik
Prof. Anna Frebel
Prof. Vladan Vuletic

License: Creative Commons BY-NC-SA
More information at http://ocw.mit.edu/terms
More courses at http://ocw.mit.edu
MIT OpenCourseWare
8.01SC Classical Mechanics Introduction
2:15
8.01SC Classical Mechanics Introduction

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0.1 Vectors vs. Scalars
1:07
0.1 Vectors vs. Scalars

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0.2 Vector Operators
2:14
0.2 Vector Operators

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0.3 Coordinate Systems and Unit Vectors
1:04
0.3 Coordinate Systems and Unit Vectors

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0.4 Vectors - Magnitude and Direction
0:39
0.4 Vectors - Magnitude and Direction

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0.5 Vector Decomposition into components
1:38
0.5 Vector Decomposition into components

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0.6 Going Between Representations
1:36
0.6 Going Between Representations

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1.0 Week 1 Introduction (8.01 Classical Mechanics)
2:15
1.0 Week 1 Introduction (8.01 Classical Mechanics)

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1.1 Coordinate Systems and Unit Vectors in 1D
3:06
1.1 Coordinate Systems and Unit Vectors in 1D

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1.2 Position Vector in 1D
2:25
1.2 Position Vector in 1D

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1.3 Displacement Vector in 1D
3:28
1.3 Displacement Vector in 1D

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1.4 Average Velocity in 1D
2:18
1.4 Average Velocity in 1D

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1.5 Instantaneous Velocity in 1D
5:40
1.5 Instantaneous Velocity in 1D

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1.7 Worked Example: Derivatives in Kinematics
3:08
1.7 Worked Example: Derivatives in Kinematics

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2.1 Introduction to Acceleration
3:26
2.1 Introduction to Acceleration

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2.2 Acceleration in 1D
4:29
2.2 Acceleration in 1D

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2.3 Worked Example: Acceleration from Position
3:45
2.3 Worked Example: Acceleration from Position

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2.4 Integration
22:34
2.4 Integration

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3.1 Coordinate System and Position Vector in 2D
2:17
3.1 Coordinate System and Position Vector in 2D

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3.2 Instantaneous Velocity in 2D
6:12
3.2 Instantaneous Velocity in 2D

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3.3 Instantaneous Acceleration in 2D
5:20
3.3 Instantaneous Acceleration in 2D

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3.4 Projectile Motion
6:12
3.4 Projectile Motion

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3.5 Demo: Shooting an Apple
0:52
3.5 Demo: Shooting an Apple

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3.5 Demo: Relative Motion Gun
0:35
3.5 Demo: Relative Motion Gun

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PS.1.1 Three Questions Before Starting
2:07
PS.1.1 Three Questions Before Starting

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PS.1.2 Shooting the apple solution
10:19
PS.1.2 Shooting the apple solution

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P.1.3 Worked Example: Braking Car
6:47
P.1.3 Worked Example: Braking Car

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P.1.4 Sketch the Motion
2:10
P.1.4 Sketch the Motion

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P.1.5 Worked Example: Pedestrian and Bike at Intersection
13:59
P.1.5 Worked Example: Pedestrian and Bike at Intersection

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4.0 Week 2 Introduction
2:23
4.0 Week 2 Introduction

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4.1 Newton's First and Second Laws
4:16
4.1 Newton's First and Second Laws

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4.2 Newton's Third Law
7:15
4.2 Newton's Third Law

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4.3 Reference Frames
9:26
4.3 Reference Frames

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4.4 Non-inertial Reference Frames
4:38
4.4 Non-inertial Reference Frames

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5.1 Universal Law of Gravitation
6:55
5.1 Universal Law of Gravitation

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5.2 Worked Example: Gravity - Superposition
8:46
5.2 Worked Example: Gravity - Superposition

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5.3 Gravity at the surface of the Earth: The value of g.
4:49
5.3 Gravity at the surface of the Earth: The value of g.

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6.1 Contact Forces
3:18
6.1 Contact Forces

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6.2 Static Friction
3:20
6.2 Static Friction

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7.1 Pushing Pulling and Tension
4:17
7.1 Pushing Pulling and Tension

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7.2 Ideal Rope
4:58
7.2 Ideal Rope

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7.3 Solving Pulley Systems
9:56
7.3 Solving Pulley Systems

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7.4 Hooke's Law
6:00
7.4 Hooke's Law

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DD.1.1 Friction at the Nanoscale
39:12
DD.1.1 Friction at the Nanoscale

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PS.2.1 Worked Example - Sliding Block
6:20
PS.2.1 Worked Example - Sliding Block

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PS.2.2 Worked Example - Stacked Blocks - Free Body Diagrams and Applying Newtons 2nd Law
8:13
PS.2.2 Worked Example - Stacked Blocks - Free Body Diagrams and Applying Newtons 2nd Law

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PS.2.2 Worked Example - Stacked Blocks - Solve for the Maximum Force
4:44
PS.2.2 Worked Example - Stacked Blocks - Solve for the Maximum Force

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PS.2.2 Worked Example - Stacked Blocks - Choosing the System of 2 Blocks Together
5:28
PS.2.2 Worked Example - Stacked Blocks - Choosing the System of 2 Blocks Together

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PS.2.3 Window Washer Free Body Diagrams
10:13
PS.2.3 Window Washer Free Body Diagrams

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PS.2.3 Window Washer Solution
2:26
PS.2.3 Window Washer Solution

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Newton's 3rd Law Pairs
4:18
Newton's 3rd Law Pairs

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Internal and External Forces
3:44
Internal and External Forces

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Applying Newton's 2nd Law
3:17
Applying Newton's 2nd Law

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8.0 Week 3 Introduction
1:27
8.0 Week 3 Introduction

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8.1 Polar Coordinates
3:35
8.1 Polar Coordinates

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8.2 Circular Motion: Position and Velocity Vectors
6:02
8.2 Circular Motion: Position and Velocity Vectors

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8.3 Angular Velocity
5:31
8.3 Angular Velocity

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9.1 Uniform Circular Motion
3:50
9.1 Uniform Circular Motion

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9.2 Uniform Circular Motion: Direction of the Acceleration
3:36
9.2 Uniform Circular Motion: Direction of the Acceleration

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10.1 Circular Motion - Acceleration
4:00
10.1 Circular Motion - Acceleration

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10.2 Angular Acceleration
6:21
10.2 Angular Acceleration

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10.3 Worked Example - Angular position from angular acceleration.
4:45
10.3 Worked Example - Angular position from angular acceleration.

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11.1 Newton's 2nd Law and Circular Motion
3:17
11.1 Newton's 2nd Law and Circular Motion

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11.2 Worked Example - Car on a Banked Turn
7:37
11.2 Worked Example - Car on a Banked Turn

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11.3 Demo: Rotating Bucket
0:40
11.3 Demo: Rotating Bucket

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PS.3.1 Worked Example - Orbital Circular Motion - Radius
3:44
PS.3.1 Worked Example - Orbital Circular Motion - Radius

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PS.3.1 Worked Example - Orbital Circular Motion - Velocity
1:07
PS.3.1 Worked Example - Orbital Circular Motion - Velocity

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PS.3.1 Worked Example - Orbital Circular Motion - Period
1:40
PS.3.1 Worked Example - Orbital Circular Motion - Period

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12.0 Week 4 Introduction
2:16
12.0 Week 4 Introduction

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12.1 Pulley Problems
10:30
12.1 Pulley Problems

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12.2 Constraint Condition
7:07
12.2 Constraint Condition

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12.3 Virtual Displacement
3:43
12.3 Virtual Displacement

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12.4 Solve the System of Equations
4:04
12.4 Solve the System of Equations

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12.5 Worked Example: 2 Blocks and 2 Pulleys
8:41
12.5 Worked Example: 2 Blocks and 2 Pulleys

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13.1 Rope Hanging Between Trees
3:36
13.1 Rope Hanging Between Trees

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13.2 Differential Analysis of a Massive Rope
15:34
13.2 Differential Analysis of a Massive Rope

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13.3 Differential Elements
1:04
13.3 Differential Elements

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13.4 Density
0:52
13.4 Density

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13.5 Demo: Wrapping Friction
1:01
13.5 Demo: Wrapping Friction

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13.6 Summary for Differential Analysis
1:18
13.6 Summary for Differential Analysis

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14.1 Intro to resistive forces
4:52
14.1 Intro to resistive forces

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14.2 Resistive forces - low speed case
8:26
14.2 Resistive forces - low speed case

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14.3 Resistive forces - high speed case
10:50
14.3 Resistive forces - high speed case

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15.0 Week 5 Introduction
2:28
15.0 Week 5 Introduction

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15.1 Momentum and Impulse
7:21
15.1 Momentum and Impulse

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15.2 Impulse is a Vector
3:16
15.2 Impulse is a Vector

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15.3 Worked Example - Bouncing Ball
6:38
15.3 Worked Example - Bouncing Ball

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15.4 Momentum of a System of Point Particles
4:45
15.4 Momentum of a System of Point Particles

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15.5 Force on a System of Particles
9:06
15.5 Force on a System of Particles

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16.1 Cases of Constant Momentum
5:34
16.1 Cases of Constant Momentum

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16.2 Momentum Diagrams
5:18
16.2 Momentum Diagrams

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17.1 Definition of the Center of Mass
4:32
17.1 Definition of the Center of Mass

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17.2 Worked Example - Center of Mass of 3 Objects
7:14
17.2 Worked Example - Center of Mass of 3 Objects

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17.3 Center of Mass of a Continuous System
2:55
17.3 Center of Mass of a Continuous System

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17.5 Worked Example - Center of Mass of a Uniform Rod
5:51
17.5 Worked Example - Center of Mass of a Uniform Rod

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17.6 Velocity and Acceleration of the Center of Mass
4:16
17.6 Velocity and Acceleration of the Center of Mass

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17.7 Reduction of a System to a Point Particle
4:03
17.7 Reduction of a System to a Point Particle

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18.0 Week 6 Introduction
0:53
18.0 Week 6 Introduction

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18.1 Relative Velocity
1:57
18.1 Relative Velocity

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18.2 Set up a Recoil Problem
6:28
18.2 Set up a Recoil Problem