MGIMS WARDHA MGIMS WARDHA Solved Paper-2011

  • question_answer
    A particle of mass 10 g is executing simple harmonic motion with an amplitude of 0.5 m and periodic time of (\[\pi /5\]) second. The maximum value of the force acting on the particle is

    A)  25 N                                     

    B)  5N

    C)   2.5 N                                   

    D)  0.5 N

    Correct Answer: D

    Solution :

                     Maximum force \[F=m{{\omega }^{2}}a\] \[=m{{\left( \frac{2\pi }{T} \right)}^{2}}a=\frac{4{{\pi }^{2}}}{{{T}^{2}}}ma\] \[=\frac{4{{\pi }^{2}}}{{{\left( \frac{\pi }{5} \right)}^{2}}}\times \frac{10}{1000}\times 0.5\] \[=0.5\text{ }N\]


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