HW #2

1. Produce graphics that demonstrates the construction and the shape of the involute of a circle. Here is what I have. Yours need not be the exactly like this. Apply creative license.
   

   Note:You will find some interesting information and graphics in Wikipedia's Involute page.

2. Produce graphics that demonstrates the construction and the shape of the involute of an ellipse. Here is what I have. Yours need not be the exactly like this. Apply creative license.

   Note: You will need to read about solving differential equations numerically as explained in the maple-basics-2.mw link in the course's home page.

   
3. Textbook, Exercises 1.3.11, 1.3.12, 1.3.13.

   Note: The statement of Exercise 1.3.12 is incomplete. It says “If a rigid body moves along a curve …”. That's not enough. What it's meant to says is “If a rigid body is fixed to the Frenet triad and is carried with it along the curve …”.