Punjab Medical Punjab - MET Solved Paper-1999

  • question_answer
    Moment of inertia of a thin circular disc of mass \[M\] and radius \[R\] about any diameter is

    A) \[2M{{R}^{2}}\]               

    B) \[M{{R}^{2}}\]

    C) \[\frac{M{{R}^{2}}}{2}\]                               

    D) \[\frac{M{{R}^{2}}}{4}\]

    Correct Answer: D

    Solution :

    Moment of inertia of thin circular disc about its centre\[{{I}_{zz}}=\frac{M{{R}^{2}}}{2}\] Now from the theorem of perpendicular axis Moment of inertia of the disc about \[x-\]axis or \[x-y-\]axis \[i.e.\] any diameter                 \[=\frac{{{I}_{zz}}}{2}=\frac{M{{R}^{2}}/2}{2}=\frac{M{{R}^{2}}}{4}\]


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