A 'T' shaped object with dimensions shown in the figure, is lying on a smooth floor. A force $F$ is applied…

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 $A B$, such that the object has only the translational motion without rotation. Find the location of $P$ with respect to $C$
  1. $\frac{2}{3} \ell$
  2. $\frac{3}{2} \ell$
  3. $\frac{4}{3} \ell$
  4. $\ell$

Solution

P will be the centre of mass of system

Asked in: JEE Main 2005

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