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Q.

A uniform rod of mass M is hinged at its upper end. A particle of mass m moving horizontally strikes the rod at its mid point elastically. If the particle comes to rest after collision find the value of M/m

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a

2/3

b

3/ 4

c

1/2

d

4/3

answer is A.

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Detailed Solution

Let ω is angular velocity of rod just after collision 

from angular momentum conservation, 

mvL2=ML23ωω=3mv2ML 

From coefficient of restitution equation, 1=ωL2vω=2vL 

From the above two equations,Mm=34

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A uniform rod of mass M is hinged at its upper end. A particle of mass m moving horizontally strikes the rod at its mid point elastically. If the particle comes to rest after collision find the value of M/m