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Systems of Particles and Rotational Motion — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysicsSystems of Particles and Rotational Motion1 Mark
MCQ
Two masses are joined with a light rod and the system is rotating about the fixed axis as shown in the figure. The $MI$ of the system about the axis is:
  • A
    $\frac{\text{Ml}^2}{2}$
  • ✓
    $\frac{\text{Ml}^2}{2}$
  • C
    $\frac{\text{Ml}}{2}$
  • D
    $\frac{\text{Ml}^2}{6}$
✓

Answer

Correct option: B.
$\frac{\text{Ml}^2}{2}$
Total moment of inertia is
$\text{I}=\frac{\text{M}}{2}\Big(\frac{\text{l}}{2}\Big)+\frac{\text{M}}{2}\Big(\frac{\text{l}}{2}\Big)^2$
$=\frac{\text{Ml}^2}{8}+\frac{\text{Ml}^2}{8}$
$=\frac{\text{Ml}^2}{4}$

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