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Course8.01SC64 lectures5 h 34 min

Classical Mechanics

Prof. Deepto Chakrabarty and others · Massachusetts Institute of Technology

Start with lecture 1 At MIT OpenCourseWare

About

This first course in the physics curriculum introduces classical mechanics. Historically, a set of core concepts—space, time, mass, force, momentum, torque, and angular momentum—were introduced in classical mechanics in order to solve the most famous physics problem, the motion of the planets.

The principles of mechanics successfully described many other phenomena encountered in the world. Conservation laws involving energy, momentum and angular momentum provided a second parallel approach to solving many of the same problems. In this course, we will investigate both approaches: Force and conservation laws.

Our goal is to develop a conceptual understanding of the core concepts, a familiarity with the experimental verification of our theoretical laws, and an ability to apply the theoretical framework to describe and predict the motions of bodies.

Lectures

Syllabus

  1. Video Introduction 3 min · Video

0.1 Vectors vs. Scalars

  1. 0.1 Vectors vs. Scalars 2 min · Video

Week 1 Introduction

  1. Week 1: Introduction 3 min · Video

1.1 Coordinate Systems and Unit Vectors in 1D Position Vector in 1D

  1. 1.1 Coordinate Systems and Unit Vectors in 1D Position Vector in 1D 4 min · Video

2.1 Introduction to Acceleration

  1. 2.1 Introduction to Acceleration 4 min · Video

3.1 Coordinate System and Position Vector in 2D

  1. 3.1 Coordinate System and Position Vector in 2D 3 min · Video

PS.1.1 Three Questions Before Starting

  1. PS.1.1 Three Questions Before Starting 3 min · Video

Problem Set 1

  1. PS.1.5 Worked Example: Pedestrian and Bike at Intersection 14 min · Video

Week 2 Introduction

  1. Week 2 Introduction 3 min · Video

4.1 Newton's First and Second Laws

  1. 4.1 Newton's First and Second Laws 5 min · Video

5.1 Universal Law of Gravitation

  1. 5.1 Universal Law of Gravitation 7 min · Video

6.1 Contact Forces

  1. 6.1 Contact Forces 4 min · Video

7.1 Pushing Pulling and Tension

  1. 7.1 Pushing Pulling and Tension 5 min · Video

DD.1.1 Friction at the Nanoscale

  1. DD.1.1 Friction at the Nanoscale 40 min · Video

PS.2.1 Worked Example: Sliding Block

  1. PS.2.1 Worked Example: Sliding Block 7 min · Video

Week 3 Introduction

  1. Week 3 Introduction 2 min · Video

8.1 Polar Coordinates

  1. 8.1 Polar Coordinates 4 min · Video

9.1 Uniform Circular Motion

  1. 9.1 Uniform Circular Motion 4 min · Video

10.1 Circular Motion – Acceleration

  1. 10.1 Circular Motion – Acceleration 4 min · Video

11.1 Newton's 2nd Law and Circular Motion

  1. 11.1 Newton's 2nd Law and Circular Motion 4 min · Video

PS.3.1 Worked Example - Orbital Circular Motion

  1. Worked Example - Orbital Circular Motion – Radius 4 min · Video
  2. Orbital Circular Motion – Velocity 2 min · Video
  3. Orbital Circular Motion – Period 2 min · Video

Week 4 Introduction

  1. Week 4 Introduction 3 min · Video

12.1 Pulley Problems - Part I, Set up the Equations

  1. 12.1 Pulley Problems - Part I, Set up the Equations 11 min · Video

13.1 Rope Hanging Between Trees

  1. 13.1 Rope Hanging Between Trees 4 min · Video

14.1 Intro to Resistive Forces

  1. 14.1 Intro to Resistive Forces 5 min · Video

Week 5 Introduction

  1. Week 5 Introduction 3 min · Video

15.1 Momentum and Impulse

  1. 15.1 Momentum and Impulse 8 min · Video

16.1 Conservation of Momentum

  1. 16.1 Conservation of Momentum 6 min · Video

17.1 Definition of the Center of Mass

  1. 17.1 Definition of the Center of Mass 5 min · Video

Week 6 Introduction

  1. Week 6 Introduction 1 min · Video

18.1 Relative Velocity

  1. 18.1 Relative Velocity 2 min · Video

19.1 Rocket Problem 1 - Set up the Problem

  1. 19.1 Rocket Problem 1 - Set up the Problem 4 min · Video

PS.6.1 Rocket Sled Problem

  1. Rocket Sled - Differential Equation 4 min · Video
  2. Rocket Sled - Integrate the Rocket Equation 4 min · Video
  3. Rocket Sled - Solve for Initial Velocity 2 min · Video

Week 7 Introduction

  1. Week 7 Introduction 3 min · Video

20.1 Kinetic Energy

  1. 20.1 Kinetic Energy 3 min · Video

21.1 Scalar Product Properties

  1. 21.1 Scalar Product Properties 8 min · Video

22.1 Path Independence - Gravity

  1. 22.1 Path Independence - Gravity 6 min · Video

PS.7.1 Worked Example - Collision and Sliding on a Rough Surface

  1. PS.7.1 Worked Example - Collision and Sliding on a Rough Surface 7 min · Video

Week 8 Introduction

  1. Week 8 Introduction 1 min · Video

23.1 Introduction to Potential Energy

  1. 23.1 Introduction to Potential Energy 10 min · Video

24.1 Mechanical Energy and Energy Conservation

  1. 24.1 Mechanical Energy and Energy Conservation 6 min · Video

25.1 Force is the Derivative of Potential

  1. 25.1 Force is the Derivative of Potential 4 min · Video

Week 9 Introduction

  1. Week 9 Introduction 2 min · Video

26.1 Momentum in Collisions

  1. 26.1 Momentum in Collisions 5 min · Video

27.1 Worked Example: Elastic 1D Collision

  1. 27.1 Worked Example: Elastic 1D Collision 11 min · Video

DD.2.1 Position in the CM Frame

  1. DD.2.1 Position in the CM Frame 5 min · Video

Week 10 Introduction

  1. Week 10 Introduction 3 min · Video

29.1 Kinetic Energy of Rotation

  1. 29.1 Kinetic Energy of Rotation 7 min · Video

30.1 Introduction to Torque and Rotational Dynamics

  1. 30.1 Introduction to Torque and Rotational Dynamics 10 min · Video

31.1 Relationship between Torque and Angular Acceleration

  1. 31.1 Relationship between Torque and Angular Acceleration 10 min · Video

PS.10.1 Blocks and Massive Pulley

  1. PS.10.1 Blocks and Massive Pulley 17 min · Video

Week 11 Introduction

  1. Week 11 Introduction 2 min · Video

32.1 Angular Momentum for a Point Particle

  1. 32.1 Angular Momentum for a Point Particle 3 min · Video

33.1 Worked Example - Angular Momentum of 2 Rotating Point Particles

  1. 33.1 Worked Example - Angular Momentum of 2 Rotating Point Particles 7 min · Video

34.1 Torque Causes Angular Momentum to Change - Point Particle

  1. 34.1 Torque Causes Angular Momentum to Change - Point Particle 3 min · Video

Week 12 Introduction

  1. Week 12 Introduction 2 min · Video

35.1 Translation and Rotation of a Wheel

  1. 35.1 Translation and Rotation of a Wheel 4 min · Video

36.1 Friction on a Rolling Wheel

  1. 36.1 Friction on a Rolling Wheel 5 min · Video

37.1 Kinetic Energy of Translation and Rotation

  1. 37.1 Kinetic Energy of Translation and Rotation 8 min · Video

DD.3.1 Gyroscopes 1 - Free Body Diagrams, Torque, and Rotating Vectors

  1. DD.3.1 Gyroscopes 1 - Free Body Diagrams, Torque, and Rotating Vectors 17 min · Video

Syllabus and materials

At MIT OpenCourseWare, as the course publishes them.

Credits and licence

Institution
Massachusetts Institute of Technology
Department
Physics
Taught by
Prof. Deepto Chakrabarty, Dr. Peter Dourmashkin, Dr. Michelle Tomasik, Prof. Anna Frebel, Prof. Vladan Vuletic
Term
Fall 2016
Level
Undergraduate
Language
English
Subjects
Physics
Source
MIT OpenCourseWare
Licence
CC BY-NC-SA 4.0, as MIT OpenCourseWare states it. Non-commercial use only. MIT OpenCourseWare's terms
Attribution
Prof. Deepto Chakrabarty, Dr. Peter Dourmashkin, Dr. Michelle Tomasik, Prof. Anna Frebel, Prof. Vladan Vuletic. Classical Mechanics. Fall 2016. Massachusetts Institute of Technology: MIT OpenCourseWare, https://ocw.mit.edu/. License: Creative Commons BY-NC-SA.
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