Calendar - Theresa Honein

Week 01

Jun 10:

LECTURE

1. Overview of syllabus and website

2. Dynamics - an overview

3. Vector calculus - a summary

4. Velocity, position, acceleration, arc-length

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

Jun 11:

DISCUSSION SECTION

1. Problems from Set 02 - Units

2. Problems from Set 03 - Rectlinear Motion

Jun 12:

LECTURE

1. Rectilinear Motion

2. Balance of Linear Momentum

3. Solving Differential Equations and Animations in Matlab

PROBLEM SET   Set 03 - Rectlinear Motion ,  Solution

PROBLEM SET   Set 04 - BoLM ,  Solution

HOMEWORK HW 01 - Projectile with drag (due Jun 20)

EXERCISE VIDEO Problem 03-004

LECTURE VIDEO Solving differential equations numerically in Python

LECTURE VIDEO Animating the motion of a pendulum in Python

QUIZ   Quiz 2 ,  Solution

Week 02

Jun 17:

LECTURE

1. Polar coordinates

2. Constrained motion

PROBLEM SET   Set 05 - Cylindrical Polar Coordinates ,  Solution

PROBLEM SET   Set 06 - Constrained Motion ,  Solution

EXERCISE VIDEO Problem 02-021

EXERCISE VIDEO Problem 02-099

QUIZ   Quiz 3 ,  Solution

Jun 18:

DISCUSSION SECTION

1. Pulleys

2. Motion within slots

3. Choosing coordinate system

PROBLEM SET   Two extra problems on pulleys (covered in class) and straight slots

Jun 19:

LECTURE

1. No Class

HOMEWORK HW 02 - Spring pendulum (due Jun 26)

Week 03

Jun 24:

LECTURE

1. The Serret-Frenet Basis

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

PROBLEM SET   Set 07 - Serret Frenet Basis ,  Solution

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

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

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

LECTURE VIDEO A derivation of the Serret-Frenet formulae

EXERCISE VIDEO Problem 02-151

QUIZ   Quiz 4 ,  Solution

Jun 25:

DISCUSSION SECTION

1. Relative motion between translating rigid bodies

PROBLEM SET   Extra problems

Jun 26:

LECTURE

1. Spring force

2. Friction

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

PROBLEM SET   Set 09 - Linear Springs ,  Solution

PROBLEM SET   Set 10 - Friction ,  Solution

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

QUIZ   Quiz 5 ,  Solution

HOMEWORK HW 03 - Particles on helix (due Jul 03)

Week 04

Jul 01:

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

QUIZ   Quiz 6 ,  Solution

READING Conservative forces and their potential

Jul 02:

DISCUSSION SECTION

1. Prep for Midterm 1, normal tangential, friction, springs

PROBLEM SET   Extra problems ,  Solution

Jul 03:

LECTURE

1. MIDTERM I

HOMEWORK HW 04 - Energy plots for all previous homework (due Jul 11)

Week 05

Jul 08:

LECTURE

1. NO IN-PERSON LECTURE!

2. Linear impulse and linear momentum

3. Angular impulse and angular momentum

4. Collisions

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

PROBLEM SET   Set 13 - Collisions ,  Solution

LECTURE VIDEO 1. (11 min) Linear momentum + conservation

LECTURE VIDEO 2. (06 min) Conservation of linear momentum along a fixed direction

EXERCISE VIDEO 3. (15 min) 03/159

EXERCISE VIDEO 4. (15 min) 03/161

LECTURE VIDEO 5. (05 min) Review - calculating the moment of a force

LECTURE VIDEO 6. (02 min) Angular momentum definition

LECTURE VIDEO 7. (04 min) Balance of angular momentum

LECTURE VIDEO 8. (05 min) Conservation of angular momentum

EXERCISE VIDEO 9. (04 min) 03/185

LECTURE VIDEO 10. (10 min) Conservations - linear momentum vs. angular momentum vs. energy

LECTURE VIDEO 11. (3 min) Work-Energy theorem on simple pendulum

LECTURE VIDEO 12. (25 min) Collisions

LECTURE VIDEO 13. (6 min) Two particles impacting in the plane

Jul 09:

PROBLEM SET   Extra problems Discussion 5 - Work, energy, momentum, collisions ,  Solution

QUIZ   Quiz 7 ,  Solution

Jul 10:

LECTURE

1. System of particles

PROBLEM SET   Set 14 - System of particles ,  Solution

QUIZ   Quiz 8 ,  Solution

HOMEWORK HW 05 - orbital mechanics (due Jul 18)

Week 06

Jul 15:

LECTURE

1. Kinematics of Rigid Bodies

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

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

PROBLEM SET   Set 15 - Kinematics of Rigid Bodies ,  Solution

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

READING Lecture notes on rigid body kinematics

QUIZ   Quiz 9.1 Tensor Product ,  Solution

QUIZ   Quiz 9.2 Velocity Analysis ,  Solution

Jul 16:

DISCUSSION SECTION

1. Midterm II preparation - Energy, collisions, conservation of angular and linear momentum, rigid body kinematics

PROBLEM SET   Discussion 06 Notes and Extra Problems for Midterm II ,  Solution

LECTURE VIDEO Discussion 06 Recording Canvas Link

Jul 17:

LECTURE

1. Rolling and Sliding

2. Instantaneous Center of Rotation

PROBLEM SET   Set 17 - Rolling and Sliding ,  Solution

DEMO IC of crank slider

QUIZ   Quiz 10 ,  Solution

HOMEWORK HW 06 - Merry-go-round animation (due Jul 25)

Week 07

Jul 22:

LECTURE

1. Moments of Inertia

QUIZ   Midterm II ,  Solution

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 Notes pdf

Jul 23:

DISCUSSION SECTION

1. Rolling, slipping

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

PROBLEM SET   Discussion 7 Problems + Useful Reference Sheet on Rigid Body Dynamics ,  Solution

LECTURE VIDEO link to canvas bcourses - recording published, but mic battery died at the end

Jul 24:

LECTURE

1. Moments of Inertia, cont.

2. Rigid Bodies in Translation

PROBLEM SET   Set 19 - RB Translation ,  Solution

READING Moments of inertia of common shapes

READING Derivation of the parallel axis theorem

QUIZ   Quiz 11 ,  Solution

Week 08

Jul 29:

LECTURE

1. Fixed point rotation

PROBLEM SET   Set 20 - Fixed Point Rotation ,  Solution

EXERCISE VIDEO Problem 06-051

QUIZ   Quiz 12 ,  Solution

HOMEWORK HW 07 - TBD (due Aug 05)

Jul 30:

DISCUSSION SECTION

1. Rigid body dynamics

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

PROBLEM SET   Discussion 08 Extra Problems ,  Solution

Jul 31:

LECTURE

1. General Plane Motion

EXERCISE VIDEO Problem 06-070

EXERCISE VIDEO Problem 06-155

PROBLEM SET   Set 21 - General Plane Motion ,  Solution

QUIZ   Quiz 13 ,  Solution

Week 09

Aug 05:

LECTURE

1. Impulse Momentum for RB

DEMO Angular momentum conservation on Hoberman Sphere - Dr. Boyd F. Edwards

DEMO Ice skater conservation of angular momentum

PROBLEM SET   Set 22 - Impulse Momentum for RB ,  Solution

QUIZ   Quiz 14 ,  Solution

HOMEWORK HW 08 - TBD (due Aug 12)

Aug 06:

DISCUSSION SECTION

Aug 07:

LECTURE

1. Work-Energy Theorem for RB

PROBLEM SET   Set 23 - Work-Energy Theorem for RB ,  Solution

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

EXERCISE VIDEO Problem 06-118

QUIZ   Quiz 15

Week 10

Aug 12:

LECTURE

1. Review

Aug 13:

DISCUSSION SECTION

1. Review

PROBLEM SET   Extra problems ,  Solution

Aug 14:

LECTURE

1. Final Exam - Focused on rigid bodies