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Moment of Inertia of Hollow Sphere

The torque ac...

Question

The torque acting is $2000 N m$ with an angular acceleration of $2 r a d / s^{2}$ . The moment of inertia of body is

A

1200 k g m^{2}

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B

900 k g m^{2}

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C

1000 k g m^{2}

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D

Cannot say

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Solution

The correct option is C $1000 k g m^{2}$
$(Z) = I α G i v e n Z = 2000 a = 2 I = \frac{Z}{α} = \frac{2000}{2} = 1000 k g - m^{2}$

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