RAJASTHAN PMT Rajasthan - PMT Solved Paper-2006

  • question_answer
    Five particles of mass 2 kg are attached to the rim of a circular disc of radius 0.1 m and negligible mass. Moment of inertia of the system about the axis passing through the centre of the disc and perpendicular to its plane is:

    A)  \[1\,kg{{m}^{2}}\]

    B)         \[0.1\,kg{{m}^{2}}\]

    C)         \[2\,kg{{m}^{2}}\]                         

    D)         \[0.2\,kg{{m}^{2}}\]

    Correct Answer: B

    Solution :

    The moment of inertia of the given system that contains 5 particles each of mass \[2\,\,kg\] on the rim of circular disc of radius \[0.1\,\,m\] and of negligible mass is given by                 \[=MI\]of disc \[+MI\] of particles Since, the mass of the disc is negligible therefore, \[MI\] of the system \[=MI\] of particles                 \[=5\times 2\times {{(0.1)}^{2}}=0.1\,\,kg\,\,{{m}^{2}}\]


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