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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.

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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