# Homework #3: Constraint *OR* Rigid Body Dynamics

### Due on Thursday, April 6, 2006

*Choose one of the two following problems: *

**(25pt) Problem A: A Bead on a Wire**

Simulate the motion of a particle and visualize the result. The particle
is defined in a Caresian coordinate system p=(x,y), and it is constrained
by a unit circle centered at the origin.
Use the initial position (0, 1), the initial velocity (0, 0), and
gravitational force (0,-mg). Constants are given as m=1Kg, and g=9.8m/sec^2.

**(25pt) Problem B: Rigid Body Dynamics**

Simulate a scene with 10 balls moving on a bounded 2D plane
(e.g. a box). Apply an impulse on one ball and simulate its
interaction with other balls in the scene using rigid body dynamics.
For collision detection, use Part (C) of Homework #2.

**This assignment will be graded based upon: **