Question

A T shaped object with dimensions shown in the figure is lying on a smooth floor. A force $\overrightarrow{F}$ 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. $\frac{3}{4}l$
• B. $l$
• C. $\frac{4}{3}l$
• D. $\frac{3}{2}l$

Answer 1

The correct option is C

$\frac{4}{3}l$

For pure translator motion of object, the force should act at the centre of mass of the object
$y_{cm}=\frac{(m\times 2l+2m\times l)}{3m}=\frac{4l}{3}$