devarshi-dt-logo

Question:

What is the moment of inertia for a solid sphere with respect to a tangent touching to its surface?

75MR2

25MR2

23MR2

53MR2

Solution:

Moment of inertia for a solid sphere with respect to a line passing through the center of sphere = 2/5MR²
From parallel axis theorem,
Moment of inertia of solid sphere with respect to tangent touching to its surface = I' = ICM + Mr² = 2/5MR² + M(R)² = 7/5MR²