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

  • question_answer
    A 0.10 kg block oscillates back and forth along a horizontal surface. Its displacement from the origin is given by: \[x=(10\,cm)\cos [(10\,rad/s)\,t+\pi /2\,rad]\]. What is the maximum acceleration experienced by the block      [AMU (Engg.) 2000]

    A)            \[10\,\,m/{{s}^{2}}\]        

    B)            \[10\,\pi \,m/{{s}^{2}}\]

    C)            \[\frac{10\pi }{2}\,m/{{s}^{2}}\]                                      

    D)            \[\frac{10\pi }{3}\,m/{{s}^{2}}\]

    Correct Answer: A

    Solution :

                       \[a=10\times {{10}^{-2}}m\] and \[\omega =10\ rad/sec\]            \[{{A}_{\max }}={{\omega }^{2}}a=10\times {{10}^{-2}}\times {{10}^{2}}=10\ m/{{\sec }^{2}}\]


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