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6. system of particles and rotational motion — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysics6. system of particles and rotational motion1 Mark
MCQ
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 $5\ m/s$ strikes the cylinder and sticks to it as shown in figure. The angular momentum of the cylinder before collision will be ........ $J-s$
  • ✓
    $0.12$
  • B
    $12$
  • C
    $1.2$
  • D
    $ 1.12$
✓

Answer

Correct option: A.
$0.12$
a
Angular momentum of the cylinder before collision $L = I\omega  = \frac{1}{2}M{R^2}\omega $

$ = \frac{1}{2}(2)\,{(0.2)^2} \times 3$ = $0.12\ J-s$.

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