# 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**

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- 31
- 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)).
- Find the tangential acceleration and the normal acceleration as a
function of time.
- 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.

**Section 11.1**
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- 24 Try it by hand, and then use Maple to confirm or refute your
sketches.
- 31-36.

**Section 11.2**
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**Section 11.3**
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