Calendar

Week 01

Sep 01:

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

Sep 01:

DISCUSSION SECTION

1. Problems from Set 01 - Vector Calculus

Sep 03:

LECTURE

1. Velocity, position, acceleration and arc-length

2. Rectilinear Motion

PROBLEM SET   Set 03 - Rectlinear Motion ,  Solution

Week 02

Sep 08:

LECTURE

1. BoLM

2. Four steps to solve a problem

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

PROBLEM SET   Set 04 - BoLM ,  Solution

Sep 08:

DISCUSSION SECTION

1. Set04 Problems

Aug 10:

LECTURE

1. Polar coordinates

2. Cylindrical polar coordinates

PROBLEM SET   Set 05 - Cylindrical Polar Coordinates ,  Solution

Week 03

Sep 15:

LECTURE

1. Cylindrical polar coordinates, cont.

Sep 15:

DISCUSSION SECTION

1. Relative motion between translating rigid bodies

Sep 17:

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

Week 04

Sep 22:

LECTURE

1. Serret-Frenet basis, cont.

Sep 22:

DISCUSSION SECTION

1. tbd

PROBLEM SET   Set 08 - Relative motion & Corotational Bases

PROBLEM SET   Extra problems

Sep 24:

LECTURE

1. Constrained motion

2. Spring force

PROBLEM SET   Set 06 - Constrained Motion

PROBLEM SET   Set 09 - Linear Springs ,  Solution

Week 05

Sep 29:

LECTURE

1. Friction

PROBLEM SET   Set 10 - Friction

Sep 29:

DISCUSSION SECTION

1. tbd

Oct 01:

LECTURE

1. Friction, cont.

Week 06

Oct 06:

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

Oct 06:

DISCUSSION SECTION

1. Problems from set 11

Oct 08:

LECTURE

1. Linear impulse and linear momentum

2. Angular impulse and angular momentum

PROBLEM SET   Set 12 - Momenta and Impulses for a Particle

Week 07

Oct 13:

LECTURE

1. Linear momentum and angular momentum problems

2. Collisions

PROBLEM SET   Set 13 - Collisions

Oct 13:

DISCUSSION SECTION

1. Examples

PROBLEM SET   Extra problem

Oct 15:

LECTURE

1. Collisions, cont.

Week 08

Oct 20:

LECTURE

1. System of particles

PROBLEM SET   Set 14 - System of particles

Oct 20:

DISCUSSION SECTION

1. Rigid body dynamics

Oct 22:

LECTURE

1. System of particles, cont.

Week 09

Oct 27:

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

PROBLEM SET   Set 16 - IC and Motion wrt RB

Oct 27:

DISCUSSION SECTION

Oct 29:

LECTURE

1. No Class - Fall Break

Week 10

Nov 03:

LECTURE

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

Nov 03:

DISCUSSION SECTION

1. TBD

Nov 05:

LECTURE

1. Rolling and Sliding

PROBLEM SET   Set 17 - Rolling and Sliding

Week 11

Nov 10:

LECTURE

1. Moments of Inertia

2. Parallel axis theorem

PROBLEM SET   Set 18 - Moments of Inertia

READING Moments of inertia of common shapes

Nov 10:

DISCUSSION SECTION

1. TBD

Nov 12:

LECTURE

1. Rigid Bodies in Translation

PROBLEM SET   Set 19 - RB Translation

Week 12

Nov 17:

LECTURE

1. Fixed point rotation

PROBLEM SET   Set 20 - Fixed Point Rotation

Nov 17:

DISCUSSION SECTION

1. TBD

Nov 19:

LECTURE

1. General Plane Motion

PROBLEM SET   Set 21 - General Plane Motion

Week 13

Nov 24:

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

PROBLEM SET   Set 22extra - Impulse Momentum for RB

Nov 24:

DISCUSSION SECTION

1. TBD

Nov 26:

LECTURE

1. Work-Energy Theorem for RB

PROBLEM SET   Set 23 - Work-Energy Theorem for RB

Week 14

Dec 01:

LECTURE

1. Lagrangian Mechanics

Dec 01:

DISCUSSION SECTION

1. Lagrangian Mechanics

Dec 03:

LECTURE

1. Lagrangian Mechanics