Calendar - Joseph Bakarji (Section 2)

Week 01 - Introduction to Dynamics

Jan 16:

LECTURE

1. Introduction to Dynamics

2. Applications in Engineering

3. Kinetics and Kinematics Overview

4. Intro to Vector Calculus

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.

READING Intro to Dynamics Video

Week 02 - Fundamentals Review

Jan 21:

LECTURE

1. Calculus Review

2. Vectors and Kinematics

PROBLEM SET Set 02 - Units

PROBLEM SET Set 03 - Rectilinear Motion

Jan 23:

LECTURE

1. Particle Kinematics linear

2. Problem Solving

3. Cylindrical Polar Coordinates

4. Numerical Integration

PROBLEM SET Set 04 - BoLM for a particle

READING Projectile Motion

HOMEWORK HW02 (due Jan 31)

Week 03 - Cylindrical and Polar Coordinates System

Jan 28:

LECTURE

1. Set 04 Problem 03/005

2. Cylindrical polar coordinates

PROBLEM SET Set 05 - Cylindrical polar coordinates

Jan 30:

LECTURE

1. Cylindrical polar coordinates continued

PROBLEM SET Set 05 - Cylindrical polar coordinates

HOMEWORK HW03 (due Feb 07)

Week 04 - Forces and Motion

Feb 04:

LECTURE

1. Constrained motion

2. The Serret-Frenet Triad

3. Components of acceleration explained

PROBLEM SET Set 06 - Constrained motion

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

Feb 06:

LECTURE

1. Quiz Sets 1-7

2. Relative motion between translating rigid bodies

PROBLEM SET Set 08 - Relative motion & Corotational Bases

HOMEWORK HW04 (due Feb 14)

Week 05 - Linear Springs and Friction

Feb 11:

LECTURE

1. Spring force

2. Friction force

READING Primer, O'Reilly - Chapter 4

READING Explaining spring force

READING Spring force examples

READING Explaining the friction force

READING Particle on a curve vs. particle on a surface

PROBLEM SET Set 09 - Linear Springs

PROBLEM SET Set 10 - Friction

EXERCISE SESSION

Feb 13:

LECTURE

1. Spring force

2. Friction force

HOMEWORK HW05 (due Feb 21)

Week 06 - Power, Work and Energy

Feb 18:

LECTURE

1. Deriving the work-energy theorem

2. Set 10 Problem 03-049

3. Definitions of power, work and kinetic energy

4. Conservative forces

PROBLEM SET Set 11 - Power, Work and Energy

Feb 20:

LECTURE

1. No Class

Week 07 - Conservative Forces, Momenta and Impulses for a Particle

Feb 25:

LECTURE

1. Conservative forces

READING Conservative Forces and Potential Energy.

Feb 27:

LECTURE

1. Review for Midterm 1

Mar 01:

Week 08 - Momenta and Impulses for a Particle

Mar 04:

LECTURE

1. Linear impulse and linear momentum

2. Angular impulse and angular momentum

PROBLEM SET Set 12 - Momenta and Impulses for a Particle

Mar 06:

LECTURE

1. Collisions

2. System of Particles

PROBLEM SET Set 13 - Collisions

PROBLEM SET Set 14 - System of Particles

HOMEWORK HW06 (due Mar 10)

Week 09 - Systems of Particles

Mar 11:

LECTURE

1. Systems of Particles - Kinematics and Kinetics

2. Exam 1 Review

HOMEWORK HW07 (due Mar 19)

EXERCISE SESSION

Mar 13:

LECTURE

1. Problem Solving

2. Kinematics of Rigid Bodies

PROBLEM SET Set 15 - Kinematics of Rigid Bodies

Week 10 - Kinematics of Rigid Bodies

Mar 18:

LECTURE

1. Kinematics of Rigid Bodies

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

3. Instantaneous Center of Rotation

PROBLEM SET Set 15 - Kinematics of Rigid Bodies

Mar 20:

LECTURE

1. Problem Solving Set 15

PROBLEM SET Set 16 - IC and Motion wrt RB

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

EXERCISE SESSION

Week 11 - Kinematics of Rigid Bodies

Mar 25:

LECTURE

1. Kinematics of Rigid Bodies

2. Relative Motion on a Rigid Body

Mar 27:

LECTURE

1. Rolling and Sliding

PROBLEM SET Set 17 - Rolling and Sliding

HOMEWORK HW09 - Cylinder on Truck (due Apr 16)

Week 12 - Planar Dynamics of Rigid Bodies

Apr 01:

LECTURE

1. Review

Apr 03:

LECTURE

1. Relative Motion

2. Moments of Inertia

3. Fixed Point Rotation

HOMEWORK HW10 - Products of Inertia (due Apr 10)

Apr 05:

Exam

Week 13 - Planar Dynamics of Rigid Bodies

Apr 08:

LECTURE

1. General Plane Motion

PROBLEM SET Set 20 - Fixed Point Rotation

PROBLEM SET Set 18 - Moments of Inertia

Apr 10:

LECTURE

1. Set 21 Exercises

PROBLEM SET Set 21 - General Plane Motion

HOMEWORK HW011 - Fixed Point Rotation (due Apr 19)

Week 14 - Impulse Momentum for RB

Apr 15:

LECTURE

1. Impulse Momentum for RB

PROBLEM SET Set 23 - Impulse Momentum for RB

EXERCISE SESSION

Apr 17:

LECTURE

1. Set 23 Exercises

HOMEWORK HW012 - Ice Skater Angular Momentum Conservation (due Apr 23)

Week 15 - Work-Energy Theorem for RB

Apr 21:

LECTURE

1. Work-Energy Theorem for RB

PROBLEM SET Set 22 - Work-Energy Theorem for RB

Apr 23:

LECTURE

1. Review for Exam