Question

A rod AC of length $l$ and mass $m$ is kept on a horizontal smooth plane. It is free to rotate and move. A particle of same mass $m$ moving on the plane with velocity $v$ strikes the rod at point B making an angle ${37}^o$ with the rod. The collision is elastic. After collision,

• A. the angular velocity of the rod will be $72/55$ $v/l$
• B. the centre of the rod will travel a distance $\pi /3$ in the time in which it makes half rotation
• C. impulse of the impact force is $24mV/55$
• D. none of these

Answer 1

Answer: (A), (B), (C)

The correct options are
A the angular velocity of the rod will be $72/55$ $v/l$
B the centre of the rod will travel a distance $\pi /3$ in the time in which it makes half rotation
C impulse of the impact force is $24mV/55$