Consider a body shown in figure consisting two identical balls, cach of mass M connected by a light rigid rod. If an impulse J - Mv is imparted to the body at one of its ends, what would be its angular velocity ?

Options

A. `(v)/(L)`
B. `(2v)/(L)`
C. `(v)/(3L)`
D. `(v)/(4L)`

Answer

A

Explanation

Let `omega` be the angular velocity of the rod about the centre of mass C .
As angular impulse = change in angular momentum about the centre of mass of the system
`therefore J ""(L)/(2) = I_(C) omega or M_(v) ((L)/(2)) = 2 ((ML^(2))/(4)) omega or omega = (v)/(L)`