Questions

A T-shaped object with dimensions as shown in the figure, is lying on a smooth floor. A force F 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

43l

b

l

c

23l

d

32l

detailed solution

Correct option is A

Here, the force F must be acting on CM of system.Let, m1=m, m2=2mTaking D as origin, yCM=m×0+2mlm+2m=2l3From C, CP=2l-2l3=4l3

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From a circular disc of radius R, a square is cut out with a radius as its diagonal. The centre of mass of remaining portion is at a distance (from the centre)

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