A 'T' shaped object with dimensions shown in the figure, is lying on a smooth floor. A force `'vecF'` 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 C.

Options

A. `(4)/(3) l`
B. `l`
C. `(4)/(3) l`
D. `(3)/(2) l`

Answer

A

Explanation

For pure translatory motion, net torque about centre of mass should be zero. Thus `vecF` is applied at centre of mass of system.
`P = (0 xx l+l.2l)/(l + 2l) = (2l^(2))/(3l)`
=`(2l)/(3)`
:. `PC =(l -(2l)/(3) +l)`
=`(4l)/(3)`.
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