Calendar - Theresa Honein

Week 01

Aug 26:

LECTURE

1. Overview of syllabus and website

2. Dynamics - an overview

3. Vector calculus - a summary

PROBLEM SET   Set 01 - Vector Calculus ,  Solution

PROBLEM SET   Set 02 - Units ,  Solution

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

LECTURE VIDEO Introduction to Dynamics by Dr. Joseph Bakarji

QUIZ   Quiz 1 ,  Solution

Aug 26:

DISCUSSION SECTION

1. Problems from Set 02 - Units

2. Problems from Set 03 - Rectlinear Motion

Aug 28:

LECTURE

1. Velocity, position, acceleration, arc-length

2. Rectilinear Motion

PROBLEM SET   Set 03 - Rectlinear Motion ,  Solution

Week 02

Sep 02:

LECTURE

1. BoLM

2. Four steps to solve a problem

3. Polar coordinates

PROBLEM SET   Set 04 - BoLM ,  Solution

PROBLEM SET   Set 05 - Cylindrical Polar Coordinates ,  Solution

LECTURE VIDEO Solving differential equations numerically in Python

HOMEWORK HW 01 - Projectile with drag (due Sep 10)

Sep 02:

DISCUSSION SECTION

1. Set04 Problems

QUIZ   Quiz 2 ,  Solution

Sep 04:

LECTURE

1. No class

Week 03

Sep 09:

LECTURE

1. Cylindrical polar coordinates, cont.

2. Constrained motion

PROBLEM SET   Set 06 - Constrained Motion ,  Solution

LECTURE VIDEO Animating the motion of a pendulum in Python

HOMEWORK HW 02 - Spring pendulum (due Sep 16)

Sep 09:

DISCUSSION SECTION

1. Relative motion between translating rigid bodies

PROBLEM SET   Extra problems

Sep 11:

LECTURE

1. The Serret-Frenet Basis

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

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

PROBLEM SET   Set 07 - Serret Frenet Basis ,  Solution

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

LECTURE VIDEO A derivation of the Serret-Frenet formulae

DEMO Serret-Frenet basis on bobsled

DEMO Serret-Frenet basis and osculating circle on 3D curve by Troy Henderson

DEMO Check out the animations on the MECH230 Youtube channel

Week 04

Jul 01:

LECTURE

1. Serret-Frenet basis, cont.

HOMEWORK HW 03 - Particles on helix (due Sep 23)

Jul 02:

DISCUSSION SECTION

1. tbd

PROBLEM SET   Set 08 - Relative motion & Corotational Bases ,  Solution

PROBLEM SET   Extra problems ,  Solution

Jul 03:

LECTURE

1. Constrained motion

2. Spring force

PROBLEM SET   Set 06 - Constrained Motion ,  Solution

PROBLEM SET   Set 09 - Linear Springs ,  Solution

LECTURE VIDEO Explaining spring force

LECTURE VIDEO Spring force examples

Week 06

Sep 30:

LECTURE

1. Definitions of power, work and kinetic energy

2. Deriving the work-energy theorem

3. Conservation of energy

4. Gravitation force model

PROBLEM SET   Set 11 - Power, Work and Energy ,  Solution

LECTURE VIDEO Gravitation force model

LECTURE VIDEO Work-Energy theorem on simple pendulum

HOMEWORK HW 05 - Energy plots for all previous homework (due Oct 09)

Sep 30:

DISCUSSION SECTION

1. Problems from set 11

Oct 02:

LECTURE

1. Linear impulse and linear momentum

2. Angular impulse and angular momentum

LECTURE VIDEO Linear momentum + conservation

LECTURE VIDEO Conservation of linear momentum along a fixed direction

LECTURE VIDEO Review - calculating the moment of a force

LECTURE VIDEO Angular momentum definition

LECTURE VIDEO Balance of angular momentum

LECTURE VIDEO Conservation of angular momentum

LECTURE VIDEO Conservations - linear momentum vs. angular momentum vs. energy

PROBLEM SET   Set 12 - Momenta and Impulses for a Particle ,  Solution

Week 07

Oct 07:

LECTURE

1. Linear momentum and angular momentum problems

2. Collisions

PROBLEM SET   Set 13 - Collisions ,  Solution

LECTURE VIDEO Collisions

LECTURE VIDEO Two particles impacting in the plane

Oct 07:

DISCUSSION SECTION

1. Examples

2. Quiz

PROBLEM SET   Extra problem

Oct 09:

LECTURE

1. Collisions, cont.

Week 08

Oct 14:

LECTURE

1. System of particles

PROBLEM SET   Set 14 - System of particles ,  Solution

HOMEWORK HW 06 - orbital mechanics (due Oct 21)

Oct 14:

DISCUSSION SECTION

1. Rigid body dynamics

2. Recording can be found in bCourses media for this class

Oct 16:

LECTURE

1. System of particles, cont.

Week 09

Oct 21:

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 ,  Solution

HOMEWORK HW 08 - Crank Slider (due 2025-10-)

Oct 22:

DISCUSSION SECTION

Oct 23:

LECTURE

1. Instantaneous Center of Rotation

2. Relative motion of particles with respect to a rigid body

PROBLEM SET   Set 16 - IC and Motion wrt RB ,  Solution

DEMO IC of crank slider

Week 10

Oct 28:

LECTURE

1. Rolling and Sliding

PROBLEM SET   Set 17 - Rolling and Sliding ,  Solution

HOMEWORK HW 07 - Merry-go-round animation (due Nov 04)

Oct 28:

DISCUSSION SECTION

1. TBD

Oct 30:

LECTURE

1. Moments of Inertia

2. Parallel axis theorem

PROBLEM SET   Set 18 - Moments of Inertia ,  Solution

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

DEMO Cylinders Rolling Down Incline - Professor Walter Lewin

READING Moments of inertia of common shapes