RAJASTHAN PMT Rajasthan - PMT Solved Paper-2005

  • question_answer
    A body is suspended from a smooth horizontal nail by a string of length 0.25 metre. What minimum horizontal velocity should be given to it in the lowest position so that it may move in a complete vertical circle with the nail at the centre?

    A)  \[\sqrt{12.25}\,m{{s}^{-1}}\]     

    B)  \[4.9\,m{{s}^{-1}}\]

    C)  \[7\sqrt{2}\,m{{s}^{-1}}\]           

    D)         \[\sqrt{9.8}\,m{{s}^{-1}}\]

    Correct Answer: A

    Solution :

    When a string fixed with a nail, moves along n vertical circle, then the minimum horizontal velocity at the lowest point of circle is given by \[\upsilon =\sqrt{5\,rg}\] \[=\sqrt{5\times 0.25\times 9.8}\] \[=\sqrt{12.25}\,m/s\]


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