Uttarakhand PMT Uttarakhand 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)  \[1\text{ }kg\text{ }{{m}^{2}}\]         

    B)  \[0.1\text{ }kg\text{ }{{m}^{2}}\]

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

    D)  \[0.2\text{ }kg\text{ }{{m}^{2}}\]

    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 = Moment of inertia of disc + Moment of inertia of disc of particle Since, the mass of the disc is negligible therefore, M.I. of the system = Moment of inertia of disc of particle \[=5\times 2\times {{(0.1)}^{2}}=0.1\text{ }kg\text{ }{{m}^{2}}\]


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