A uniform rod of mass 4m and length L lies on a smooth horizontal table. A particle of mass m moving with speed v₀ strikes one end of the rod perpendicularly and comes to rest.

Physics · Rotational Motion · combined translatory and rotatory motion ,Pure rolling motion

JEE Advanced

A uniform rod of mass 4m and length L lies on a smooth horizontal table. A particle of mass m moving with speed v₀ strikes one end of the rod perpendicularly and comes to rest.

Sub-question 1

Velocity of centre of mass of the rod after collision is

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Sub-question 2

Angular velocity of the rod after collision is

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Sub-question 3

Distance travelled by the centre of rod by the time it turns through one revolution is

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