8.01SC | Fall 2016 | Undergraduate

# Classical Mechanics

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The Readings are available in the online textbook section.

0 Vectors

• Chapter 3

Week 1: Kinematics
1 1D Kinematics - Position and Velocity

• Position and Displacement: Section 4.2
• Velocity: Section 4.3

2 1D Kinematics - Acceleration

• Acceleration: Section 4.4
• Constant Acceleration: Section 4.5
• 1D Kinematics and Integration: Section 4.6

3 2D Kinematics - Position, Velocity, and Acceleration

• Vector Description of Motion in 2D: Section 5.1
• Projectile Motion: Section 5.2

Week 2: Newton’s Laws
4 Newton’s Laws of Motion

• Newton’s Laws of Motion: Sections 7.1–7.3

5 Gravity

• Force Laws: Section 8.1
• Free Body Diagrams: Section 8.4

6 Contact Forces

• Force Laws: Section 8.1
• Constraint Forces: Section 8.3
• Free Body Diagrams: Section 8.4

7 Tension and Springs

• Force Laws: Section 8.1
• Constraint Forces: Section 8.3
• Free Body Diagrams: Section 8.4

Deep Dive 1 Friction No Reading
Week 3: Circular Motion
8 Circular Motion - Position and Velocity

• Circular Motion, Velocity and Angular velocity: Section 6.2

9 Uniform Circular Motion

• Tangential and Radial Acceleration: Section 6.3
• Period and Frequency of Uniform Circular Motion: Section 6.4

10 Circular Motion - Acceleration

• Tangential and Radial Acceleration: Section 6.3
• Angular Velocity and Angular Acceleration: Section 6.5

11 [Newton’s 2nd Law and Circular Motion](/courses/8-01sc-classical-mechanics-fall-2016/pages/week-3-circular-motion#Lesson_11)

• Universal Law of Gravitation: Section 9.2
• Worked Examples Circular Motion: Section 9.3

Week 4: Drag Forces, Constraints and Continuous Systems
12 Pulleys and Constraints

• Worked Example on Pulleys and Ropes Constraints Conditions: Chapter 8, Example 8.9

13 Massive Rope

• Worked examples on massive ropes: Chapter 8, Examples 8.3–8.4
• Continuous Systems and Newton’s Second Law as a Differential Equations: Section 8.5.2
• Worked Example-Capstan: Chapter 8, Example 8.1

14 Resistive Forces

• Drag forces in Fluids: Section 8.6
• Worked Example - Free Fall with Air Drag: Chapter 8, Example 8.12

Week 5: Momentum and Impulse
15 Momentum and Impulse

• Momentum and Impulse: Section 10.2
• External and Internal Forces and the Change in Momentum of a System: Section 10.3
• System of Particle: Section 10.4

16 Conservation of Momentum

• Constancy of Momentum and Isolated Systems: Section 10.7
• Momentum Changes and Non-Isolated Systems: Section 10.8
• Solved Examples: Chapter 10.9 and Chapter 10, Example 10.6

17 Center of Mass and Motion of the Center of Mass

• Center of Mass: Section 10.5
• Translational Motion of the Center of Mass: Section 10.6
• Solved Example: Chapter 10, Example 10.5

Week 6: Continuous Mass Transfer
18 Relative Velocity and Recoil

• Reference Frames: Sections 11.1–11.4

19 Continuous Mass Transfer

• Momentum and the Flow of Mass: Sections 12.1–12.3

Week 7: Kinetic Energy and Work
20 Kinetic Energy and Work in 1D

• The Concept of Energy and Conservation of Energy: Section 13.1
• Kinetic Energy: Sections 13.2–13.3
• Work: Sections 13.4–13.5
• Work Kinetic Energy Theorem: Section 13.6
• Power: Section 13.7
• Worked Examples: Section 13.10

21 Kinetic Energy and Work in 2D and 3D

• Work and Scalar Product: Section 13.8
• Work Done by a Non-constant Force Along an Arbitrary Path: Section 13.9
• Worked Examples: Section 13.10
• Work Kinetic Energy Theorem in 3D: Section 13.11

22 Conservative and Non-conservative Forces

• Conservation of Energy: Section 14.1
• Conservative and Non-conservative Forces: Section 14.2

Week 8: Potential Energy and Energy Conservation
23 Potential Energy

• Changes in Potential Energy of a System: Section 14.3
• Changes in Potential Energy and Zero Point of Potential Energy: Section 14.4

24 Conservation of Energy

• Mechanical Energy and Conservation of Mechanical Energy: Section 14.5
• Change of Mechanical Energy for Closed System with Internal Non-conservative Forces: Section 14.7
• Dissipative Forces: Friction: Section 14.8
• Worked Examples: Section 14.9

25 Potential Energy Diagrams

• Spring Force Energy Diagrams: Section 14.8

Week 9: Collision Theory
26 Types of Collision

• Collision Theory: Chapter 15

27 Elastic Collisions

• Collision Theory: Chapter 15

Deep Dive 2 Center of Mass Reference Frame No Reading
Week 10: Rotational Motion
28 Motion of a Rigid Body

• Two dimensional Rotational Kinematics: Sections 16.1–16.2

29 Moment of Inertia

• Two dimensional Rotational Kinematics: Sections 16.3–16.4

30 Torque

• Two dimensional Rotational Dynamics: Sections 17.1–17.3
• Static Equilibrium: Chapter 18

31 Rotational Dynamics

• Two dimensional Rotational Dynamics: Sections 17.4–17.5
• Static Equilibrium: Chapter 18

Week 11: Angular Momentum
32 Angular Momentum of a Point Particle

• Angular Momentum: Sections 19.1–19.2

33 Angular Momentum of a Rigid Body about a Fixed Axis

• Angular Momentum: Sections 19.6–19.7

34 Torque and Angular Impulse

• Angular Momentum: Sections 19.3-19.5, Sections 19.8–19.9

Week 12: Rotations and Translation - Rolling
35 Rolling Kinematics

• Kinematics of translation and rotation: Chapter 20

36 Rolling Dynamics

• Dynamics of translation and rotation: Chapter 21

37 Rolling Kinetic Energy and Angular Momentum

• Kinematics of translation and rotation: Chapter 20
• Dynamics of translation and rotation: Chapter 21

Deep Dive 3 Gyroscopes No Reading

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Fall 2016
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