A rod of mass and length is lying on a horizontal frictionless surface. A particle of mass travelling along the surface hits at one end of the rod with a velocity in a direction perpendicular to t

Question

A rod of mass  and length  is lying on a horizontal frictionless surface. A particle of mass  travelling along the surface hits at one end of the rod with a velocity  in a direction perpendicular to the rod. The collision is completely elastic. After collision, particle comes to rest. The ratio of masses  is . The value of  will be

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🧠 Particle Hits Rod End, Stops — Three Conservation Laws Determine Mass Ratio

Read this. A particle of mass  at velocity  (perpendicular to a rod) hits one end of a stationary rod (mass , length ) on a smooth surface. The collision is elastic, and after the collision the particle comes to rest. Find .

For a free rod (no pivot), an impulsive impact gives it:

1. Linear momentum to the CM.
2. Angular momentum about the CM.
3. KE (and the collision is elastic, so KE is conserved).

After the col

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