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A T-shaped object with dimensions shown in the fig. 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'. Find the Location of P with respect to C

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$3 l / 2$

$4 l / 3$

$l$

$2 l / 3$

answer is A.

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Detailed Solution

For pure translation motion, the force F should act at the centre of mass
Therefore, $y_{CM} = \frac{m \times 2 l + 2 m \times l}{3 m} = \frac{4 l}{3}$

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