A holiday ornament in the shape of a hollow sphere with mass 2.0 times 10^-2 kg

Question

A holiday ornament in the shape of a hollow sphere with mass 2.0 times 10^-2 kg and radius 5.5 times 10^-2 m is hung from a tree limb by a small loop of wire attached to the surface of the sphere. If the ornament is displaced a small distance and released, it swings back and forth as a physical pendulum. Part A Calculate its period. (You can ignore friction at the pivot. The moment of inertia of the sphere about the pivot at the tree limb is 5MR^2/3.) Take the free fall acceleration to be 9.80 m/s^2. Express your answer using two significant figures.

Explanation / Answer

T = 2pi*sqrt(I/Mgd)

I = 5MR^2/3

d = R

T = sqrt(5*R/3g)

R = 5.5 x 10^-2 m

T = 0.097 s

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