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Vectors


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 2^{nd} Law and Circular Motion](/courses/801scclassicalmechanicsfall2016/pages/week3circularmotion#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 ExampleCapstan: 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 NonIsolated 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 Nonconstant 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 Nonconservative Forces

 Conservation of Energy: Section 14.1
 Conservative and Nonconservative 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 Nonconservative 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 19.319.5, 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
