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A small ball of mass m hits the cylinder...


A small ball of mass m hits the cylinder which is hinged at top and free to rotate in vertical plane as shown in figure. Mass of cylinder is M. Linear momentum of system (ball+cylinder)

A

Remains conserved if y=R

B

Remains conserved if `y=(3)/(2)R`

C

Remains conserved if `y=(7)/(5)R`

D

Cannot be conserved for any value of y.

Text Solution

Verified by Experts

The correct Answer is:
B
muy`=mVy+(3)/(2)MR^(2)omega` where u is speed of ball before collision, V speed of ball after collision and `omega` is angular speed of cylinder after collision.
`m u=mV+Mromega(COM)`
`thereforey=(3R)/(2)`
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