question_answer

AT 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.     AIEEE  Solved  Paper-2005

A) \[\frac{2}{3}l\]  

B)                        \[\frac{3}{2}l\]                  

C)        \[\frac{4}{3}l\]                  

D)        \[l\]

Correct Answer: C

Solution :

For pure translatory motion, net torque about centre of mass should be zero. Thus, F is applied at centre of mass of system. where,andare masses of horizontal and vertical section of the object. Assuming object is uniform,