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A large bell is hung from a wooden beam so it can swing back and forth with negl

ID: 1304616 • Letter: A

Question

A large bell is hung from a wooden beam so it can swing back and forth with negligible friction. The center of mass of the bell is 0.70m below the pivot, the bell has mass 36.0kg , and the moment of inertia of the bell about an axis at the pivot is 20.0kg?m2 . The clapper is a small, 1.8 kg mass attached to one end of a slender rod that has length L and negligible mass. The other end of the rod is attached to the inside of the bell so it can swing freely about the same axis as the bell.

Part A

What should be the length L of the clapper rod for the bell to ring silently-that is, for the period of oscillation for the bell to equal that for the clapper?

Express your answer using two significant figures.

Explanation / Answer

L = I1 / (M * D)

I_1 = 19.0 kg*m^2
M = 39.0 kg
D = 0.5 m

L = 19.0 kg*m^2 / (39.0 kg * 0.5 m)
L = 0.974 m

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