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

  • question_answer
    Which one of the following statements is true for the speed v and the acceleration a of a particle executing simple harmonic motion                                                    [CBSE PMT 2004]

    A)            When v is maximum, a is maximum

    B)            Value of a is zero, whatever may be the value of v

    C)            When v is zero, a is zero

    D)            When v is maximum, a is zero

    Correct Answer: D

    Solution :

                       In S.H.M. \[v=\sqrt{{{a}^{2}}-{{y}^{2}}}\] and \[a=-\,{{\omega }^{2}}y\] when \[y=a\] Þ \[{{v}_{\min }}=0\] and \[{{a}_{\max }}=\,-\,{{\omega }^{2}}a\]


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