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

A

$$\frac{2}{3}\ell$$

B

$$\frac{3}{2}\ell$$

C

$$\frac{4}{3}\ell$$

D

$$\ell$$