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

  • question_answer
    A particle has simple harmonic motion. The equation of its motion is \[x=5\sin \left( 4t-\frac{\pi }{6} \right)\], where x is its displacement. If the displacement of the particle is 3 units, then it velocity is [MP PMT 1994]

    A)            \[\frac{2\pi }{3}\]               

    B)            \[\frac{5\pi }{6}\]

    C)            \[20\]                                      

    D)            \[16\]

    Correct Answer: D

    Solution :

                       From the given equation, a = 5 and w = 4 \ \[v=\omega \sqrt{{{a}^{2}}-{{y}^{2}}}=4\sqrt{{{(5)}^{2}}-{{(3)}^{2}}}=16\]


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