Calendar

Week 01

Jan 13:

LECTURE

1. Overview of syllabus and website

2. Dynamics - an overview

3. Vector calculus - a summary

PROBLEM SET   Set 01 - Vector Calculus

PROBLEM SET   Set 01 - Vector Calculus - Solution

PROBLEM SET   Set 02 - Units

PROBLEM SET   Set 02 - Units - Solution

LECTURE VIDEO Introduction to Dynamics by Dr. Joseph Bakarji

Jan 13:

DISCUSSION SECTION

1. Problems from Set 01 - Vector Calculus

Jan 15:

LECTURE

1. Velocity, position, acceleration and arc-length

2. Rectilinear Motion

PROBLEM SET   Set 03 - Rectlinear Motion

PROBLEM SET   Set 03 - Rectilinear Motion - Solution

Week 02

Jan 20:

LECTURE

1. BoLM

2. Four steps to solve a problem

3. Introducing `Degrees of Freedom` and `Equations of Motion`

PROBLEM SET   Set 04 - BoLM

PROBLEM SET   Set 04 - BoLM - Solution

LECTURE VIDEO Solving differential equations numerically in Python

Jan 20:

DISCUSSION SECTION

1. Set04 Problems

Jan 22:

LECTURE

1. Polar coordinates

2. Cylindrical polar coordinates

PROBLEM SET   Set 05 - Cylindrical Polar Coordinates

PROBLEM SET   Set 05 - Cylindrical Polar Coordinates - Solution

Week 03

Jan 27:

LECTURE

1. Cylindrical polar coordinates, cont.

2. Constrained motion

PROBLEM SET   Set 06 - Constrained Motion

PROBLEM SET   Set 06 - Constrained Motion - Solution

LECTURE VIDEO Animating the motion of a pendulum in Python

Jan 27:

DISCUSSION SECTION

1. Relative motion between translating rigid bodies

Jan 29:

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

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

Feb 03:

LECTURE

1. Serret-Frenet basis, cont.

Feb 03:

DISCUSSION SECTION

1. tbd

PROBLEM SET   Set 08 - Relative motion & Corotational Bases

PROBLEM SET   Extra problems

Feb 05:

LECTURE

1. Constrained motion

2. Spring force

PROBLEM SET   Set 06 - Constrained Motion ,  Solution

PROBLEM SET   Set 09 - Linear Springs

LECTURE VIDEO Explaining spring force

LECTURE VIDEO Spring force examples

Week 05

Feb 10:

LECTURE

1. Friction

LECTURE VIDEO Explaining the friction force

PROBLEM SET   Set 10 - Friction

Feb 10:

DISCUSSION SECTION

1. tbd

Feb 12:

LECTURE

1. Friction, cont.

Week 06

Feb 17:

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

LECTURE VIDEO Gravitation force model

LECTURE VIDEO Work-Energy theorem on simple pendulum

Feb 17:

DISCUSSION SECTION

1. Problems from set 11

Feb 19:

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

Week 07

Feb 24:

LECTURE

1. Linear momentum and angular momentum problems

2. Collisions

PROBLEM SET   Set 13 - Collisions

LECTURE VIDEO Collisions

LECTURE VIDEO Two particles impacting in the plane

Feb 24:

DISCUSSION SECTION

1. Examples

2. Quiz

PROBLEM SET   Extra problem

Feb 26:

LECTURE

1. Collisions, cont.

Week 08

Mar 03:

LECTURE

1. System of particles

PROBLEM SET   Set 14 - System of particles

Mar 03:

DISCUSSION SECTION

1. Rigid body dynamics

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

Mar 05:

LECTURE

1. System of particles, cont.

Week 09

Mar 10:

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

Mar 10:

DISCUSSION SECTION

Mar 12:

LECTURE

1. Instantaneous Center of Rotation

PROBLEM SET   Set 16 - IC and Motion wrt RB

DEMO IC of crank slider

Week 10

Mar 17:

LECTURE

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

DEMO Coriolis Effect - National Geographic

DEMO Foucault pendulum showing that the Earth spins

Mar 17:

DISCUSSION SECTION

1. TBD

Mar 19:

LECTURE

1. Holiday

2. Rolling and Sliding

PROBLEM SET   Set 17 - Rolling and Sliding

Week 11

Mar 24:

LECTURE

1. Moments of Inertia

2. Parallel axis theorem

PROBLEM SET   Set 18 - Moments of Inertia

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

Mar 24:

DISCUSSION SECTION

1. TBD

Mar 26:

LECTURE

1. Rigid Bodies in Translation

PROBLEM SET   Set 19 - RB Translation

Week 12

Mar 31:

LECTURE

1. Fixed point rotation

PROBLEM SET   Set 20 - Fixed Point Rotation

EXERCISE VIDEO Problem 06-051

Mar 31:

DISCUSSION SECTION

1. TBD

Apr 02:

LECTURE

1. General Plane Motion

PROBLEM SET   Set 21 - General Plane Motion

Week 13

Apr 07:

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

Apr 07:

DISCUSSION SECTION

1. TBD

Apr 09:

LECTURE

1. Work-Energy Theorem for RB

PROBLEM SET   Set 23 - 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

Week 14

Apr 14:

LECTURE

1. Review

Apr 14:

DISCUSSION SECTION

1. TBD

Apr 16:

LECTURE

1. Review

Week 15

Apr 21:

LECTURE

1. Review

Apr 21:

DISCUSSION SECTION

1. TBD

Apr 23:

LECTURE

1. Review

Week 16

Apr 28:

LECTURE

1. Review

Apr 28:

DISCUSSION SECTION

1. TBD

Apr 30:

LECTURE

1. Reading Period