Question

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) 2/3l

(b) 3/2l

(c) 4/3l

(d) l

Answer 1

Correct Option (c) 4/3l

Explanation: 

For pure translatory motion, net torque about centre of mass should be zero. Thus, F is applied at centre of mass of system,

OP = m₁ x 0 + m₂ x l/m₁ + m₂

where m₁ and m₂ are masses of horizontal and vertical section of the object. Assuming object is uniform,