A holiday ornament in the shape of a hollow sphere with mass M = 1.60 * 10^-2 kg

Question

A holiday ornament in the shape of a hollow sphere with mass M = 1.60 * 10^-2 kg and radius R = 4.50 * 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.

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 5 MR^2/3)

Take the free fall acceleration to be g = 9.80 m/s^2.

(Answer is in seconds)

Explanation / Answer

T = 2pi sqrt (I/mgR) I = 5 MR^2/3 T = 0.54966 s

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.