Question

A solid cylinder of mass 2 kg and radius 0.2 m is rotating about its own axis without friction with angular velocity 3 rad/s. A particle of mass 0.5 kg moving with a velocity 5 m/s strikes the cylinder and sticks to it as shown in figure below. The angular momentum of the cylinder before collision will be

• A. 0.12 J-s
• B. 12 J-s
• C. 1.2 J-s
• D. 1.1.2 J-s

Answer 1

The correct option is A 0.12 J-s

Angular momentum of the cylinder before collision $L=I\omega =\frac{1}{2}M{R}^2\omega =\frac{1}{2}\left(2\right)(0.2{)}^2\times 3=0.12J-s.$