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Question: A sphere of mass 10 kg and radius 0.5 m rotates about a tangent. The moment of inertia of the solid ...

A sphere of mass 10 kg and radius 0.5 m rotates about a tangent. The moment of inertia of the solid sphere is:

A

5 kg-m2

B

2.7 kg-m2

C

3.5 kg-m2

D

4.5 kg-m2.

Answer

3.5 kg-m2

Explanation

Solution

I=75MR2=75×10×(0.5)2=3.5 kg−m2\mathrm { I } = \frac { 7 } { 5 } \mathrm { MR } ^ { 2 } = \frac { 7 } { 5 } \times 10 \times ( 0.5 ) ^ { 2 } = 3.5 \mathrm {~kg} - \mathrm { m } ^ { 2 }