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

  • question_answer
    The amplitude of a particle executing S.H.M. with frequency of 60 Hz is 0.01 m. The maximum value of the acceleration of the particle is [DPMT 1998; CBSE PMT 1999; AFMC 2001; Pb. PMT 2001; Pb. PET 2001, 02; CPMT 1993, 95, 04; RPMT 2005; MP PMT 2005]

    A)            \[144{{\pi }^{2}}m/se{{c}^{2}}\]                                      

    B)            \[144m/se{{c}^{2}}\]

    C)            \[\frac{144}{{{\pi }^{2}}}m/se{{c}^{2}}\]                      

    D)            \[288{{\pi }^{2}}m/se{{c}^{2}}\]

    Correct Answer: A

    Solution :

                       Maximum acceleration \[=a{{\omega }^{2}}=a\times 4{{\pi }^{2}}{{n}^{2}}\]            \[=0.01\times 4\times {{(\pi )}^{2}}\times {{(60)}^{2}}=144{{\pi }^{2}}m/\sec \]


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