Rotational Motion

A solid cylinder of mass \(2 \mathrm{~kg}\) and radius \(0.2 \mathrm{~m}\) is rotating about its own axis without friction with angular velocity \(5 \mathrm{~rad} \mathrm{s}^{-1}\). A particle of mass \(1 \mathrm{~kg}\) moving with a velocity of \(5 \mathrm{~ms}^{-1}\) strikes the cylinder and sticks to it as shown in figure.

The angular velocity of the system after the particle sticks to it will be