BHU PMT BHU PMT (Screening) Solved Paper-2010

  • question_answer
    A body moves along a circular path of radius 10m and the coefficient of friction is 0.5. What should be its angular speed in rad/s, if it does not slip from the surface?

    A)  5                                            

    B)  10

    C)  0.1                                        

    D)  0.7

    Correct Answer: D

    Solution :

                     For moving on circular path without slipping centripetal force must equal to frictional force that is \[\frac{m{{v}^{2}}}{r}=\mu \,mg\] \[mr{{\omega }^{2}}=\mu \,mg\] \[r{{\omega }^{2}}=\mu \,g\]     \[\therefore \]  \[\omega =\sqrt{\frac{\mu g}{r}}=\sqrt{\frac{0.5\times 9.8}{10}}=0.7\,rad/s\]


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