(9) If solid sphere and solid cylinder of same mass and density rotate about their own axes, the moment of inertia will be greater for:

(a) Solid sphere

(b) __Solid cylinder__

(c) The one that has the largest mass arrives first

(d) The one that has the largest radius arrives first

**Solution: **We know that

For sphere, moment of inertia is

For cylinder, moment of inertia is

Divide (2) by (1)

Therefore, moment of inertia of cylinder is greater than the moment of inertia of the sphere.

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