Lecture 25 of 6411 min
12.1 Pulley Problems - Part I, Set up the Equations
Prof. Deepto Chakrabarty and others · Massachusetts Institute of Technology
Credits and licence
- From
- Classical Mechanics, Massachusetts Institute of Technology (at MIT OpenCourseWare)
- Licence
- CC BY-NC-SA 4.0, as MIT OpenCourseWare states it. Non-commercial use only.
- 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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- Tweens profiles and older. How courses are placed
All the lectures
- Video Introduction
- 0.1 Vectors vs. Scalars
- Week 1: Introduction
- 1.1 Coordinate Systems and Unit Vectors in 1D Position Vector in 1D
- 2.1 Introduction to Acceleration
- 3.1 Coordinate System and Position Vector in 2D
- PS.1.1 Three Questions Before Starting
- PS.1.5 Worked Example: Pedestrian and Bike at Intersection
- Week 2 Introduction
- 4.1 Newton's First and Second Laws
- 5.1 Universal Law of Gravitation
- 6.1 Contact Forces
- 7.1 Pushing Pulling and Tension
- DD.1.1 Friction at the Nanoscale
- PS.2.1 Worked Example: Sliding Block
- Week 3 Introduction
- 8.1 Polar Coordinates
- 9.1 Uniform Circular Motion
- 10.1 Circular Motion – Acceleration
- 11.1 Newton's 2nd Law and Circular Motion
- Worked Example - Orbital Circular Motion – Radius
- Orbital Circular Motion – Velocity
- Orbital Circular Motion – Period
- Week 4 Introduction
- 12.1 Pulley Problems - Part I, Set up the Equations
- 13.1 Rope Hanging Between Trees
- 14.1 Intro to Resistive Forces
- Week 5 Introduction
- 15.1 Momentum and Impulse
- 16.1 Conservation of Momentum
- 17.1 Definition of the Center of Mass
- Week 6 Introduction
- 18.1 Relative Velocity
- 19.1 Rocket Problem 1 - Set up the Problem
- Rocket Sled - Differential Equation
- Rocket Sled - Integrate the Rocket Equation
- Rocket Sled - Solve for Initial Velocity
- Week 7 Introduction
- 20.1 Kinetic Energy
- 21.1 Scalar Product Properties
- 22.1 Path Independence - Gravity
- PS.7.1 Worked Example - Collision and Sliding on a Rough Surface
- Week 8 Introduction
- 23.1 Introduction to Potential Energy
- 24.1 Mechanical Energy and Energy Conservation
- 25.1 Force is the Derivative of Potential
- Week 9 Introduction
- 26.1 Momentum in Collisions
- 27.1 Worked Example: Elastic 1D Collision
- DD.2.1 Position in the CM Frame
- Week 10 Introduction
- 29.1 Kinetic Energy of Rotation
- 30.1 Introduction to Torque and Rotational Dynamics
- 31.1 Relationship between Torque and Angular Acceleration
- PS.10.1 Blocks and Massive Pulley
- Week 11 Introduction
- 32.1 Angular Momentum for a Point Particle
- 33.1 Worked Example - Angular Momentum of 2 Rotating Point Particles
- 34.1 Torque Causes Angular Momentum to Change - Point Particle
- Week 12 Introduction
- 35.1 Translation and Rotation of a Wheel
- 36.1 Friction on a Rolling Wheel
- 37.1 Kinetic Energy of Translation and Rotation
- DD.3.1 Gyroscopes 1 - Free Body Diagrams, Torque, and Rotating Vectors