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Q.

A geometry consists of a square and a disc as shown in figure. It is made up of an iron sheet of uniform density. The y-coordinate of centre of mass of the geometry with respect to point O is

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a

4a+3πa4+3π

b

4a+3πa4+π

c

(4+3π)a

d

3a

answer is A.

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Detailed Solution

For two dimensional bodies, ycm=A1y1+A2y2A1+A2=(4a2)(a)+πa2(3a)4a2+πa2

ycm=4a+3πa4+π

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A geometry consists of a square and a disc as shown in figure. It is made up of an iron sheet of uniform density. The y-coordinate of centre of mass of the geometry with respect to point O is