BHU PMT BHU PMT (Screening) Solved Paper-2006

  • question_answer
    One end of a string of length (is connected to a particle of mass m and the other to a small peg on a smooth horizontal table. If the particle moves in a circle with speed v, the net force on the particle (directed towards the centre) is:

    A)  \[T\]    

    B)  \[T-\frac{m{{v}^{2}}}{l}\]

    C)  \[T+\frac{m{{v}^{2}}}{l}\]                           

    D)  zero T is the tension in the string

    Correct Answer: A

    Solution :

                     When particle moves in a circle, then the resultant force must act towards the centre and its magnitude F must satisfy \[F=\frac{m{{v}^{2}}}{l}\] This resultant force is directed towards the centre and it is called centripetal force. This force originates from the tension T. Hence,      \[F=\frac{m{{v}^{2}}}{l}=T\]


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