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Tarzan spies a 35 kg chimpanzee in severe danger, so he swings to the rescue. He

ID: 2100163 • Letter: T

Question


Tarzan spies a 35 kg chimpanzee in severe danger, so he swings to the rescue. He adjusts his strong, but very light, vine so that he will first come to rest 4.0 s after beginning his swing, at which time his vine makes a 12 degree angle with the vertical.
a) How long is Tarzan's vine, assuming that he swings at the bottom end of it?
b) What are the frequency and amplitude (in degrees) of Tarzan's swing?
c) Just as he passes through the lowest point in his swing, Tarzan nabs the chimp from the ground and sweeps him out of the jaws of danger. If Tarzan's mass if 65 kg, find the frequency and amplitude (in degrees) of the swing with Tarzan holding onto the grateful chip.

Explanation / Answer

The total period of a pendulum is T = 2*?*?lL/g]. The first "rest" comes at half the period (period is a full back and forth swing). So

T = ?*?lL/g]

L = T

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