PHYSICS 321 - Classical Mechanics I
Spring 2007
Homework
Set #2 (due 1/24/07)
1. Thornton
and Marion, Appendix A, problem A-2.
This means: Find a series expansion for an angle that is close to x = π/4.
Write cos x = cos(π/4+y) where y is small.
2. Thornton
and Marion, Appendix A, problem A-3.
3. Thornton
and Marion, problem 1-9.
4. Thornton
and Marion, problem 1-10.
5. Thornton
and Marion, problem 1-29. Hint: use the gradient function to find vectors perpendicular to each of
the two surfaces at the specified point. Then use the scalar product to find the angle between those
two vectors.
6. Thornton
and Marion, problem 1-40.