EAMCET Medical EAMCET Medical Solved Paper-2008

  • question_answer
    Circular disc of mass 2 kg and radius 1 m is rotating about an axis perpendicular to its plane and passing through its centre of mass with a rotational kinetic energy of 8 J. The angular momentum in (J-s) is

    A)  8                                                            

    B)  4

    C)  2                                                            

    D)  1

    Correct Answer: B

    Solution :

                     Rotational kinetic energy \[=\frac{1}{2}I{{\omega }^{2}}=8\,J\] \[\Rightarrow \]               \[\frac{1}{2}\times \frac{1}{2}m{{r}^{2}}{{\omega }^{2}}=8\] or            \[\frac{1}{4}\times 2\times {{(1)}^{2}}{{\omega }^{2}}=8\] or            \[{{\omega }^{2}}=16\] or            \[\omega =4\,rad/s\]  Angular momentum,  \[L=I\omega \] \[=\frac{1}{2}m{{r}^{2}}\omega \] \[=\frac{1}{2}\times 2\times {{(1)}^{2}}\times 4\] \[=4\,J-s\]


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