A holiday ornament in the shape of a hollow sphere with mass 2.0×102 kg and radi

Question

A holiday ornament in the shape of a hollow sphere with mass 2.0×102 kg and radius 5.0×102 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.

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 5MR2/3.)

Take the free fall acceleration to be 9.80 m/s2 . Express your answer using two significant figures.

Explanation / Answer

I = (5/3)mr² = 83.33*10-6 Kgm2 : L=5.0*10-2 m

T = 2(I/mgL) = 2*(6.75E-5/(2E-2*9.81*4.5E-2))=0.58 sec

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