1.

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=RB. Remains conserved if `y=(3)/(2)R`C. Remains conserved if `y=(7)/(5)R`D. Cannot be conserved for any value of y.

Answer» Correct Answer - 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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