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Collision of two rigid bodies - class-XI
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A uniform rod AB of mass $3m$ and length $2l$ is lying at rest on a smooth horizontal table with a smooth vertical axis through the end $A$ . A particle of mass $2m$ moves with speed $2u$ across the table and strikes the rod at its mid point $C$. If the impact is perfectly elastic , then find the speed of the particle after impact if it strikes the rod normally
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A
$\dfrac{u}{3}$
💡 Explanation:
Using conservation of angular momentum about the fixed axis A and the coefficient of restitution equation for the impact, the final velocities can be solved. For a rod of mass 3m and length 2l, the moment of inertia about A is (1/3)(3m)(2l)^2 = 4ml^2. Solving the system yields the particle's final speed as u/3.