JEE Main & Advanced Sample Paper JEE Main Sample Paper-38

  • question_answer 38) 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. Then the angular velocity of the rod is

    A)  \[3v/r\]                         

    B)  \[4v/r\]

    C)  \[5v/r\]                         

    D)  \[2v/r\]

    Correct Answer: D

    Solution :

     \[{{\omega }_{rod}}={{\omega }_{po\operatorname{int}}}=\left( \frac{{{v}_{nel}}}{r} \right),\]\[{{v}_{rel}}\] represents the velocity of one point w.r.t. other. \[=\frac{3v-v}{r}\] and 'r' being the distance between them.\[=\frac{2v}{r}\]

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