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Q.

Four similar point masses (each of mass $m$ ) are placed on the circumference of a disc of mass $M$ and radius $R$ . The moment of inertia of the system about the system about the normal axis through the center $O$ will be:

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a

$\frac{1}{2} M R^{2} + 4 m R^{2}$

b

$M R^{2} + 4 m R^{2}$

c

$\frac{M R^{2}}{2} + \frac{8 m R^{2}}{5}$

d

$M R^{2} + \frac{8}{5} m R^{2}$

answer is B.

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Detailed Solution

Question Image

$I = I_{d i s c} + I_{M a s s e s} = \frac{M R^{2}}{2} + 4 m R^{2}$

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Four similar point masses (each of mass m) are placed on the circumference of a disc of mass M and radius R. The moment of inertia of the system about the system about the normal axis through the center O will be: