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

  • question_answer
    Velocity at mean position of a particle executing S.H.M. is v, they velocity of the particle at a distance equal to half of the amplitude                                                                 [RPMT 2001]

    A)            4v  

    B)            2v

    C)            \[\frac{\sqrt{3}}{2}v\]      

    D)            \[\frac{\sqrt{3}}{4}v\]

    Correct Answer: C

    Solution :

                       Velocity in mean position \[v=a\omega ,\] velocity at a distance of half amplitude.            \[{v}'=\omega \sqrt{{{a}^{2}}-{{y}^{2}}}\]\[=\omega \sqrt{{{a}^{2}}-\frac{{{a}^{2}}}{4}}\]\[=\sqrt{\frac{3}{2}}\,a\omega =\sqrt{\frac{3}{2}}\,v\]


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