1. A copper rod of length 2.0 m and radius 3.0 mm hangs down from the ceiling. A

Question

1.     A copper rod of length 2.0 m and radius 3.0 mm hangs down from the ceiling. A 9.0-kg object is attached to the lower end of the rod. The rod acts as a

A copper rod of length 2.0 m and radius 3.0 mm hangs down from the ceiling. A 9.0-kg object is attached to the lower end of the rod. The rod acts as a "spring", and the object oscillates vertically with small amplitude. Ignoring the rod's mass, find the frequency of the simple harmonic motion. (Take the Young's modulus for copper to be 1.1 ´ 1011 N/m2.)

Explanation / Answer

F = K*x ; x is elongation

Also, F/A = Y*(x/L)

Compare, K = AY/L = 1554300

w = sqrt(K/M) = 415.57 rad/sed

f = 66 Hz

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