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Q.

A T shaped object with dimensions shown in the figure is lying on a smooth floor. A force is applied at the point P parallel to AB such that the object has only the translational motion without rotation. Find the location of P with respect to C.

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a

(3/4)l

b

l

c

(4/3)l

d

(3/2)l

answer is C.

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Detailed Solution

The force should pass through the centre of mass of the assembly.yc=2m×l+m×2l3m=4l3

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A T shaped object with dimensions shown in the figure is lying on a smooth floor. A force is applied at the point P parallel to AB such that the object has only the translational motion without rotation. Find the location of P with respect to C.