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

  • question_answer
    A bar of mass M and length L is in pure translatory motion with its centre of mass velocity V. It collides with and sticks to a second identical bar which is initially at rest. (Assume that it becomes one composite bar of length \[2L\]). The angular velocity of the composite bar will be

    A) \[\frac{3}{4}\frac{V}{L}\]clockwise    

    B)                                \[\frac{4}{43}\frac{V}{L}\]clockwise

    C) \[\frac{3}{4}\frac{V}{L}\] counterclockwise    

    D) \[\frac{V}{L}\] counterclockwise

    Correct Answer: C

    Solution :

    [c] \[{{L}_{i}}={{L}_{f}}\] \[MV\left( \frac{L}{2} \right)=\left( \frac{2m{{(2L)}^{2}}}{12} \right)\omega \] \[\omega =\frac{3V}{4L}\]                        


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