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RAJASTHAN PMT Rajasthan - PMT Solved Paper-1995

  • question_answer
    A rigid body is rotating with an angular velocity\[\vec{\omega },\] torque acting on it is\[\vec{t}\]and an angular momentum is\[\vec{L}.\] Then relation between\[\vec{t}\] and\[\vec{L}\] is :

    A) \[\vec{t}=\vec{\omega }\times \vec{L}\]             

    B)        \[\vec{t}=\vec{L}\frac{d\vec{\omega }}{dt}\]    

    C) \[\vec{t}=\vec{\omega }\frac{d\vec{L}}{dt}\]    

    D)        \[\vec{t}=\frac{dL}{dt}\]

    Correct Answer: D

    Solution :

     Torque is equal to rate of change of angular momentum \[\overrightarrow{\tau }=\frac{d\overrightarrow{L}}{dt}\]


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