Calendar - Theresa Honein (Section 1 & 5)

Week 01 - Motivating Dynamics & Preliminary on Vectors

Jan 17:

LECTURE

1. Attendance

2. Overview of syllabus, website, and Teams channel

3. Vector calculus - a summary

PROBLEM SET Set 01 - Vector Calculus

HOMEWORK HW 01 (due Jan 26)

READING Read chapter 1 of Introduction to Solid Mechanics - An Integrated Approach by Lubliner and Papadopoulos.

Week 02 - Single Particle in Cartesian Coodinates

Jan 20:

LECTURE

1. Introducing dynamics

2. A continuum mechanics perspective

3. Velocity, acceleration, arc-length

PROBLEM SET Set 02 - Units

Jan 22:

LECTURE

1. Rectilinear motion

PROBLEM SET Set 03 - Rectilinear Motion

EXERCISE SESSION

Jan 24:

LECTURE

1. Particle Kinetics (BoLM and action-reaction)

2. Four steps to solving a problem using BoLM

EXERCISE VIDEO Problem 03-004

PROBLEM SET Set 04 - BoLM for a particle

HOMEWORK HW02 (due Jan 31)

Week 03 - The Cylindrical Polar Coordinate System

Jan 27:

LECTURE

1. Set 04 Problem 03/005

2. Cylindrical polar coordinates

PROBLEM SET Set 05 - Cylindrical polar coordinates

Jan 29:

LECTURE

1. Cylindrical polar coordinates, cont.

EXERCISE VIDEO Problem 02-021

EXERCISE VIDEO Problem 02-099

EXERCISE SESSION

Jan 31:

LECTURE

1. Constrained motion

PROBLEM SET Set 06 - Constrained motion

HOMEWORK HW03 (due Feb 07)

Week 04 - The Serret-Frenet Triad

Feb 03:

LECTURE

1. The Serret-Frenet Triad

PROBLEM SET Set 07 - Serret Frenet Basis

READING See the animations in the Wikipedia page of the Serret-Frenet basis

Feb 05:

LECTURE

1. The Serret-Frenet Triad (Curvature of a plane curve)

LECTURE VIDEO DEMO - Serret-Frenet basis on bobsled

LECTURE VIDEO A derivation of the Serret-Frenet formulae

EXERCISE SESSION

Feb 07:

LECTURE

1. Quiz Sets 1-7

2. Relative motion between translating rigid bodies

EXERCISE VIDEO Problem 02-151

PROBLEM SET Set 08 - Relative motion & Corotational Bases

HOMEWORK HW04 (due Feb 14)

Week 05 - Linear Springs and Friction

Feb 10:

LECTURE

1. No Class

Dec 05:

LECTURE

1. Spring force

2. Friction force

LECTURE VIDEO Explaining spring force

LECTURE VIDEO Spring force examples

LECTURE VIDEO Explaining the friction force

LECTURE VIDEO Particle on a curve vs. particle on a surface

EXERCISE VIDEO Problem 08-004

EXERCISE VIDEO Problem 03-071

PROBLEM SET Set 09 - Linear Springs

PROBLEM SET Set 10 - Friction

EXERCISE SESSION

Feb 14:

LECTURE

1. No Class

HOMEWORK HW05 (due Feb 21)

Week 06 - Power, Work and Energy

Feb 17:

LECTURE

1. A particle moving on a curve vs. a particle moving on a surface

2. Set 11 Problem 03-049

3. Definitions of power, work and kinetic energy

PROBLEM SET Set 11 - Power, Work and Energy

Feb 19:

LECTURE

1. Deriving the work-energy theorem

2. Conservative forces

EXERCISE SESSION

Feb 21:

LECTURE

1. Conservation of energy

2. Examples from Set 11

3. Gravitation force model

LECTURE VIDEO Gravitation force model

Week 07 - Momenta and Impulses for a Particle

Feb 24:

LECTURE

1. Linear impulse and linear momentum

PROBLEM SET Set 12 - Momenta and Impulses for a Particle

Feb 26:

LECTURE

1. Angular impulse and angular momentum

LECTURE VIDEO Conservations - linear momentum vs angular momentum vs energy

LECTURE VIDEO Work-Energy theorem on simple pendulum

EXERCISE SESSION

Feb 28:

LECTURE

1. Midterm 1 review

Mar 01:

Exam

Week 08 - Collisions

Mar 03:

LECTURE

1. Collisions

PROBLEM SET Set 13 - Collisions

HOMEWORK HW06 (due Mar 10)

Feb 26:

LECTURE

1. Problem 03/193

READING Problem 03/193 on angular momentum and energy

EXERCISE SESSION

Feb 28:

LECTURE

1. Systems of Particles

PROBLEM SET Set 14 - System of Particles

Week 09 - Systems of Particles

Mar 10:

LECTURE

1. Systems of Particles - Kinematics and Kinetics

Mar 12:

LECTURE

1. Exercises from Set 14

HOMEWORK HW07 - System of Particles (due Mar 19)

EXERCISE SESSION

Mar 14:

LECTURE

1. Kinematics of Rigid Bodies

2. Velocity and Acceleration Analysis of Two Material Points on a Rigid Body

PROBLEM SET Set 15 - Kinematics of Rigid Bodies

Week 10 - Kinematics of Rigid Bodies

Mar 17:

LECTURE

1. Set 15 Exercises

Mar 19:

LECTURE

1. Instantaneous Center of Rotation

PROBLEM SET Set 16 - IC and Motion wrt RB

HOMEWORK HW08 - RB Kinemtatics and IC (due Mar 26)

EXERCISE SESSION

Mar 21:

LECTURE

1. The motion of a point moving with respect to a RB

Week 11 - Kinematics of Rigid Bodies

Mar 24:

LECTURE

1. Rolling and Sliding

PROBLEM SET Set 17 - Rolling and Sliding

HOMEWORK HW09 - Cylinder on Truck (due Apr 16)

Mar 26:

LECTURE

1. Moments of Inertia

PROBLEM SET Set 18 - Moments of Inertia

READING Moments of inertias of solid bodies

EXERCISE SESSION

Mar 28:

LECTURE

1. Moment of Inertia, cont.

LECTURE VIDEO Center of mass and linear momentum of a rigid body

LECTURE VIDEO Angular momentum of a rigid body

LECTURE VIDEO Moments and products of inertia

LECTURE VIDEO Example - inertias of a solid cylinder

LECTURE VIDEO The radius of gyration

LECTURE VIDEO The parallel axis theorem

LECTURE VIDEO Example - parallel axis theorem on a solid cylinder

READING Notes pdf

HOMEWORK HW10 - Products of Inertia (due Apr 09)

Week 12 - Planar Dynamics of Rigid Bodies

Mar 31:

LECTURE

1. No Class

Apr 02:

LECTURE

1. No Class

Apr 04:

LECTURE

1. Moment of Inertia, cont.

Apr 05:

Exam

Week 13 - Planar Dynamics of Rigid Bodies

Apr 07:

LECTURE

1. Rigid Bodies in Translation

PROBLEM SET Set 19 - RB Translation

Apr 09:

LECTURE

1. Fixed Point Rotation

PROBLEM SET Set 20 - Fixed Point Rotation

HOMEWORK HW11 - Fixed Point Rotation (due Apr 14)

EXERCISE VIDEO Problem 06-051 Part 1

EXERCISE VIDEO Problem 06-051 Part 2

EXERCISE SESSION

Apr 11:

LECTURE

1. General Plane Motion

EXERCISE VIDEO Problem 06-070 Part 1

EXERCISE VIDEO Problem 06-070 Part 2

EXERCISE VIDEO Problem 06-155

PROBLEM SET Set 21 - General Plane Motion

Week 14 - Impulse Momentum for RB

Apr 14:

LECTURE

1. Impulse Momentum for RB

PROBLEM SET Set 22 - Impulse Momentum for RB

Apr 16:

LECTURE

1. Set 22 Exercises

HOMEWORK HW12 - Ice Skater Angular Momentum Conservation (due Apr 23)

EXERCISE SESSION

Apr 18:

LECTURE

1. No Class

Week 15 - Work-Energy Theorem for RB

Apr 21:

LECTURE

1. No Class

Apr 23:

LECTURE

1. Work-Energy Theorem for RB

LECTURE VIDEO Introducing the work-energy theorem of a rigid body

LECTURE VIDEO Deriving the expression for the kinetic energy of a rigid body

LECTURE VIDEO Kinetic energy of a rigid body rotating about a fixed point

LECTURE VIDEO Deriving the work-energy theorem for a rigid body

PROBLEM SET Set 23 - Work-Energy Theorem for RB

EXERCISE VIDEO Problem 06-118 Part 1

EXERCISE VIDEO Problem 06-118 Part 2

EXERCISE SESSION

Apr 25:

LECTURE

1. Set 22 Exercises