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JEE Main & Advanced Sample Paper JEE Main Sample Paper-25

  • question_answer
    The instantaneous velocity of a point B of the given rod of length \[0.5\] m is 3 \[m{{s}^{-1}}\] in the represented direction. The angular velocity of the rod for minimum velocity of end A is :

    A)  \[1.5\]rad \[{{s}^{-1}}\]          

    B)  \[5.2\]rad \[{{s}^{-1}}\]

    C)  \[2.5\]rad \[{{s}^{-1}}\]          

    D)  None

    Correct Answer: B

    Solution :

    If rod is rotated about end A, then vertical component of velocity v of end A will be zero \[\therefore \,\,\,\omega =\frac{v\,\cos \,60{}^\circ }{l}=\frac{\sqrt{3\,v}}{2l}=\frac{\sqrt{3}\times 3}{2\times 0.5}=5.2\,rad\,\,{{s}^{-1}}\]


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