JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2012

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


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