JEE Main & Advanced Physics Simple Harmonic Motion Question Bank Acceleration of Simple Harmonic Motion

  • question_answer
    A body is vibrating in simple harmonic motion with an amplitude of 0.06 m and frequency of 15 Hz. The velocity and acceleration of body is                                                [AFMC 1999]

    A)            \[5.65\,m/s\] and \[5.32\times {{10}^{2}}m/{{s}^{2}}\]      

    B)            \[6.82\,m/s\] and \[7.62\times {{10}^{2}}m/{{s}^{2}}\]

    C)            \[8.91\,m/s\] and \[8.21\times {{10}^{2}}m/{{s}^{2}}\]

    D)            \[9.82\,m/s\] and \[9.03\times {{10}^{2}}m/{{s}^{2}}\]

    Correct Answer: A

    Solution :

                       Velocity \[v=a\omega =a\times 2\pi \ n\]                    \[=0.06\times 2\pi \times 15=5.65\ m/s\]            Acceleration \[A={{\omega }^{2}}a=4{{\pi }^{2}}{{n}^{2}}a=5.32\times {{10}^{2}}m/{{s}^{2}}\]


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