Chapter 13: Oscillations about Equilibrium Selected Solutions

Selected Solutions

7. (a) The frequency in hertz is the same as revolutions per second. Therefore,

(b) In revolutions per second, the frequency is given by f = 1/T. To convert to rpm we multiply by , therefore,

13. (a) The general expression is: so here T = 0.88 s.

(b) Being sure to calculate the cosine in radians, we get

(c)

The last equality above results from the fact that cosine is periodic with a period of 2p.

29. From the given information we can first determine the spring constant:

37. The total energy of the system is given by E = K + U, therefore

55. The leg acts as a physical pendulum consisting of a uniform rod. For a uniform rod suspended at one end, . The period of this physical pendulum then is

Selected Solutions by David Reid, Eastern Michigan University. ©2002 by Prentice Hall, Inc.

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