CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2000

  • question_answer
    The amplitude of a particle executing simple harmonic motion with a frequency of 60 Hz is 0.01 m. The maximum value of acceleration of the particle is:

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

    B)  \[12m/{{s}^{2}}\]

    C)  \[11m/{{s}^{2}}\]                           

    D)  \[169m/{{s}^{2}}\]

    E)  none of these

    Correct Answer: A

    Solution :

    The maximum acceleration of SHM. \[\alpha ={{\omega }^{2}}a\] where   \[\omega =2\pi \,n\] \[\therefore \]\[\alpha ={{(2\pi n)}^{2}}a=4{{\pi }^{2}}\times {{(60)}^{2}}\times (0.01)\] \[\Rightarrow \]               \[\alpha =144\,{{\pi }^{2}}m/s\]


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