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JEE Main & Advanced JEE Main Paper (Held On 10 April 2016)

  • question_answer
    In an engine the piston undergoes vertical simple harmonic motion with amplitude 7cm. A washer rest son top of the piston and moves with it. The motor speed is slowly increased. The frequency of the piston at which the washer longer stays in contact with the piston, is closed to :   JEE Main Online Paper (Held On 10 April 2016)

    A) 0.7 Hz                      

    B) 1.2 Hz

    C) 1.9 Hz

    D) 0.1 Hz

    Correct Answer: C

    Solution :

                 \[{{\omega }^{2}}A=g\]                    \[T=\frac{2\pi }{\omega }\]         \[\omega =2\pi t\]          \[{{\omega }^{2}}(0.07)10\,m/{{s}^{2}}\]              \[4{{\pi }^{2}}{{f}^{2}}(0.07)=10\,m/{{s}^{2}}\]              \[f=\frac{5}{\sqrt{7}}=Hz=\,\,=1.9\,Hz\]   


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