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Question

A T shaped object, having uniform linear mass density, with dimension 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 translational motion without rotation. The distance of P with respect to C is

A
4l3
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B
l
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C
2l3
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D
3l2
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Solution

The correct option is A 4l3
For pure translational motion, the force F should act at centre of mass
Ycm=m(2l)+2(m)l3m=4l3
(a)

Why this question?

"When net force on a body is acting at its COM, it translates."
"If there is an axis along which there is symmmetry, COM exists on that axis"

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