Two particles `A` and `B` of mass `m` each hit the ends of a rigid bar of mass `M` and length `l` inelastically from opposite sides the speeds `v` and perpendicular to the rod. The bar is kept on a smooth horizontal plane (as shown). Find the linear and angular speed of the system (bar`+`particle).

Options

A. `v_(cm) = 0 , omega = ( 21)/( 7) ( v )/( l ) `
B. `v_(cm) = 0, omega = ( 4v)/(l)`
C. `v_(cm) = 0 , omega = ( 5v)/(l)`
D. `v_(cm) = 0, omega = ( v)/( 5l) `

Answer

A