c a l c u l u s     i i i

 h o m e w o r k   e i g h t

Due Friday, November 4 Section 10.4

1. 3
2. 5
3. 31
4. A particle moves ina two-dimensional orbit defined by: x(t)=A(2*alpha*t - sin(alpha*t) ), y(t) = A(1-cos(alpha*t)).
   1. Find the tangential acceleration and the normal acceleration as a function of time.
   2. Determine at what times in the orbit the normal acceleration has a maximum.
   (This is problem 2-30 (p. 96) from Classical Dynamics of Particles and Systems, third edition, by J.B. Marion and S.T. Thornton. Harcourt, Brace, Jovanovich, 1988. This is a standard textbook for a junior-level classical mechanics class.

1. 10
2. 12
3. 13
4. 24 Try it by hand, and then use Maple to confirm or refute your sketches.
5. 31-36.

1. 7

1. 1
2. 4
3. 5-6
4. 8