A rod AC of length l and mass m is kept on a horizontal smooth plane. It is free to…
Physics · JEE Advanced · NTA Exams — Rotational Motion
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 rod at point B making angle 37° with the rod. The collision is elastic. After collision.
- The angular velocity of the rod will be \(\frac{72 v}{55 \ell}\)
- The centre of the rod travel a distance \(\frac{\pi \ell}{3}\) in the time at which it makes half rotation
- Impulse of the impact force is \(\frac{24 m v}{55}\)
- None of these
Answer
(A) The angular velocity of the rod will be 72 v 55, (B) The centre of the rod travel a distance 3 in the time at which it makes half rotation, (C) Impulse of the impact force is 24 m v 55
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