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Q.

In the figure shown, find the out centre of mass of a system of a uniform circular plate of radius 3R from O in which a hole of radius R is cut whose centre is at 2R distance from the centre of large circular plate

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a

R4

b

none of these

c

R5

d

R2

answer is C.

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Detailed Solution

xCM=A1x1A2x2A1A2=π(3R)2(0)πR2(2R)π(3R)2πR2=R4

 Distance of centre of mass from origin =R4

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