BHU PMT BHU PMT Solved Paper-2002

  • question_answer
    The moment of inertia of a body about a given Axis is 2.4 kg-m2. To produce a rotational kinetic Energy of 750 J, an angular acceleration of a 5 rad/s2 must be applied about that axis for:             [BHU PMT-2002]

    A)                  \[n\]                                    

    B)                  \[2\]

    C)                  \[-2\]                                   

    D)                  \[+1\]

    Correct Answer: C

    Solution :

                     Kinetic energy of rotation is half the product of the moment of inertia \[{{\omega }_{1}}\] of the body and square of the angular velocity \[{{\omega }_{2}}\] of the body.                 \[{{\omega }_{2}}-{{\omega }_{1}}\]       \[{{\omega }_{1}}:{{\omega }_{2}}\]                 Given, \[\sqrt{{{\omega }_{1}}}:\sqrt{{{\omega }_{2}}}\]                 \[\sqrt{{{\omega }_{2}}}:\sqrt{{{\omega }_{1}}}\]             \[m\]                                 \[a\]                 \[\mu \]               \[g\left( \cos \,\,a-\mu \,\,\sin \,\,a \right)\]                 Also angular acceleration \[g\left( sin\,\,a-\mu \,\,\cos \,\,a \right)\]\[\mu \,\,\cos \,\,a\] time \[g\,\,\sin \,\,a\]=angular velocity\[Zero\]                 \[0.125\,\,kg\]   \[0.5\,\,kg\].


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