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RAJASTHAN PMT Rajasthan - PMT Solved Paper-2006

  • question_answer
    A particle is executing the motion \[x=a\,\cos (\omega t-\theta ).\] The maximum velocity of the particle is :

    A)  \[a\,\omega \,\cos \]                                   

    B)         \[a\,\omega \]

    C)         \[a\,\omega \,\sin \]                                    

    D)         none of these

    Correct Answer: B

    Solution :

    Given equation is                 \[x=a\cos (\omega t-\theta )\] So, velocity\[\left| \frac{dx}{dt} \right|=a\,\,\omega \,\,\cos (\omega t-\theta )\] At\[(\omega t-\theta )={{90}^{o}}\], the velocity will be maximum, therefore the maximum velocity is\[v=a\omega \].


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