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BCECE Engineering BCECE Engineering Solved Paper-2011

  • question_answer
    A round disc of moment of inertia \[{{I}_{2}}\] about its axis perpendicular to its plane and passing through its centre is placed over another disc of moment of inertia \[{{l}_{1}}\] rotating with an angular velocity co about the same axis. The final angular velocity of the combination of discs is

    A) \[\frac{{{I}_{2}}\omega }{{{I}_{1}}+{{I}_{2}}}\]                   

    B) \[\omega \]

    C) \[\frac{{{I}_{1}}\omega }{{{I}_{1}}+{{I}_{2}}}\]   

    D)        \[\frac{({{I}_{1}}+{{I}_{2}})\omega }{{{I}_{1}}}\]

    Correct Answer: C

    Solution :

    According  to  conservation  of angular momentum \[{{I}_{1}}{{\omega }_{1}}={{I}_{2}}{{\omega }_{2}}\]                 \[\Rightarrow \]\[{{I}_{1}}\omega =({{I}_{1}}+{{I}_{2}}){{\omega }_{2}}\]             \[\Rightarrow \]               \[{{\omega }_{2}}=\frac{{{I}_{1}}\omega }{{{I}_{1}}+{{I}_{2}}}\]


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