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Question: A solid cylinder of mass 2 kg and radius \(0.2m\) is rotating about its own axis without friction wi...

A solid cylinder of mass 2 kg and radius 0.2m0.2m is rotating about its own axis without friction with angular velocity 3rad/s3rad/s. A particle of mass 0.5 kg and moving with a velocity 5 m/s strikes the cylinder and sticks to it as shown in figure. 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

1.12 J-s

Answer

0.12 J-s

Explanation

Solution

Angular momentum of the cylinder before collision

L=Iω=12MR2ω=12(2)(0.2)2×3L = I\omega = \frac{1}{2}MR^{2}\omega = \frac{1}{2}(2)(0.2)^{2} \times 3 = 0.12 J-s.