Question

A $T$ shaped object with dimensions shown in the figure, is lying on a smooth floor. A force $\overline{F}$ is applied at the point $P$ parallel to $AB$, such that the object has only the translational motion without rotation. Find the location of $P$ w.r.t.$C$

• A. $\frac{4}{3}l$
• B. $l$
• C. $\frac{3}{4}l$
• D. $\frac{3}{2}l$

Answer 1

The correct option is A $\frac{4}{3}l$

It is a case of translation motion without rotation.

The force should act at the center of mass

$T_{cm}=\frac{\left(m\times 2l\right)+\left(2m\times l\right)}{m+2m}=\frac{4l}{3}$