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 and moving with a velocity of $5$m/s strikes the cylinder and sticks to it as shown in. The angular momentum of the cylinder before collision will be

• A. $0.12$ Joule/s
• B. $12$ Joule/s
• C. $1.2$ Joule/s
• D. $1.12$ Joule/s

Answer 1

The correct option is A $0.12$ Joule/s

Before collision the angular momentum is given as $\frac{M{R}^2}{2}\omega$
or, $\frac{2\times 0.04}{2}3=0.12J/s$