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Q.

In the figure, the L-shaped shaded piece is cut from a metal plate of uniform thickness. The point that corresponds to the center of mass of the L-shaped piece is

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a

1

b

2

c

3

d

4

answer is B.

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Detailed Solution

Let the mass of a small square = mHence the mass of the square plate = 48mAnd the mass of the L shaped plate = 24mLet the position of centre of mass of remaining structure be r→′r→′=48m×0−24m×r→48m−24m=−r→The point opposite to O' is point 2.
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