RAJASTHAN PMT Rajasthan - PMT Solved Paper-2009

  • question_answer
    If the acceleration-displacement graph of simple harmonic motion of a particle is given, then the time period of the particle will be

    A)  \[\text{2}\pi \]                                                

    B)  \[\text{3}\pi \]

    C)  \[4\pi \]                              

    D)         \[\text{5}\pi \]

    Correct Answer: A

    Solution :

    Slope of acceleration-displacement graph\[=-{{\omega }^{2}}\] \[\therefore \]  \[{{\omega }^{2}}=\tan {{45}^{o}}=1\] \[\therefore \]  \[\omega =1\] But         \[\omega =\frac{2\pi }{T}=1\] \[\therefore \]  \[T=2\pi \]


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