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NEET Sample Paper NEET Sample Test Paper-22

  • question_answer
    A uniform rod AB of mass m and length 2a is falling freely without rotation under gravity with AB horizontal. Suddenly the end A is fixed when the speed of the rod is u. The angular speed with which the rod begins to rotate is:

    A) \[\frac{u}{2a}\]                      

    B)      \[\frac{4u}{3a}\]                    

    C) \[\frac{u}{3a}\]                      

    D) \[\frac{3u}{4a}\]   

    Correct Answer: D

    Solution :

    Conserving angular momentum about A, we get \[mua=I\omega \] \[\therefore \]\[mua=\frac{m{{(2a)}^{2}}}{3}\omega \Rightarrow \,\omega =\frac{3u}{4a}\] Hence, the correction option is [a].


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