Classical Mechanics

Readings

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The Readings are available in the online textbook section.

LESSON #	LESSON TITLES	READINGS
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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