Q.

A particle of mass m is attached to a thin uniform rod of length a at a distance of a4 from the mid-pointC as shown in the figure. The mass of the rod is 4 m. The moment of inertia of the combined system aboutan axis passing through 0 and perpendicular to the rod is [EAMCET 2013]

Moderate

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a

9148ma2

b

2748ma2

c

5148ma2

d

6448ma2

answer is 1.

(Detailed Solution Below)

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Detailed Solution

In given condition, the moment of inertia of the combine system about an axis passing through O isI=43ma2+m3a42∵ I=9148ma2

ctaimg

ctaimg

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