JEE Main & Advanced Physics Rotational Motion Question Bank Mock Test - Dynamics of Rigid Body

  • question_answer
    Two points of a rod move with velocities \[3v\] and \[v\] perpendicular to the rod and in the same direction separated by a distance '\[r\]'. The angular velocity of the rod is

    A) \[\frac{3v}{r}\]            

    B) \[\frac{4v}{r}\]

    C) \[\frac{5v}{r}\]            

    D) \[\frac{2v}{r}\]

    Correct Answer: D

    Solution :

    [d] \[{{\omega }_{rod}}=\frac{({{V}_{rel}})\bot }{r}\] \[({{V}_{rel}})\bot \]is me velocity of one point w.r.t. other perpendicular to rod. \[{{\omega }_{rod}}=\frac{3v-v}{r}\] And 'r' being the distance between the points. \[{{\omega }_{rod}}=\frac{2v}{r}\]


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