A 'T' shaped object 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 objects has only hte translational motion without rotation. Find the location of P with respect to C.

Options

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

Answer

C

Explanation

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

`:. PC=(l-(2l)/3+l)`
`=(4l)/3`