JCECE Engineering JCECE Engineering Solved Paper-2013

  • question_answer
    A body of mass \[0.1\,\,kg\] when rotated in a circular path of diameter \[1.0\,\,m\] on a frictionless horizontal plane by means of string, makes \[10\] revolutions in \[31.4\] seconds. The centripetal force acting on the body will be

    A) \[0.2\,\,N\]                        

    B) \[0.1\,\,N\]

    C) \[2\,\,N\]                                           

    D)  \[2\,\,N\]

    Correct Answer: A

    Solution :

    Given,\[m=0.1\,\,kg,\,\,r=\frac{1.0}{2}=0.5\,\,m\]                 \[T=\frac{31.4}{10}3.14=\pi \sec \] \[\therefore \]  \[F=mr{{\omega }^{2}}=mr{{\left( \frac{2\pi }{T} \right)}^{2}}=\frac{4{{\pi }^{2}}mr}{{{T}^{2}}}\]                     \[=\frac{4\times {{\pi }^{2}}\times 0.1\times 0.5}{{{\pi }^{2}}}\]                    \[=0.2\,\,N\]


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