Railways NTPC (Technical Ability) Theory of Machines and Machine Design Question Bank Theory of Machines

  • question_answer
    In S.H.M. with respect to the displacement vector, the positions of Velocity vector and Acceleration vector will he respectively:

    A) \[180{}^\circ \]and \[90{}^\circ \]         

    B) \[90{}^\circ \]and\[180{}^\circ \]

    C) \[0{}^\circ \]and \[90{}^\circ \]             

    D) \[90{}^\circ \]and\[0{}^\circ \]

    Correct Answer: B

    Solution :

    \[Let\,x=A\sin \omega t\] \[x=A\omega \cos \omega t\] \[\ddot{x}=-A{{\omega }^{2}}\sin \omega \,t=A{{\omega }^{2}}\sin (180{}^\circ +\omega \,t)\]


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