Q.

Mass per unit area of a circular disc of radius 'a' depends on the distance r from its center as σ(r)=A+Br. The moment of inertia of the disc about the axis, perpendicular to the plane and passing its centre is

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a

2πa4aA4+B5

b

πa4A4+aB5

c

2πa4A4+aB5

d

2πa4A4+B5

answer is A.

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Detailed Solution

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I=dmr2=σ2πrdrr2

I=2πoa(A+Br)r3dr=2πAa44+Ba55=2πa4A4+Ba5

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