JEE Main & Advanced Physics Two Dimensional Motion Question Bank Non-uniform Circular Motion

  • question_answer
    A 2 kg  stone at the end of a string 1 m long is whirled in a vertical circle at a constant speed. The speed of the stone is 4 m/sec. The tension in the string will be 52 N, when the stone is                               [AIIMS 1982]

    A)             At the top of the circle

    B)             At the bottom of the circle

    C)             Halfway down

    D)             None of the above

    Correct Answer: B

    Solution :

                    \[mg=20N\] and \[\frac{m{{v}^{2}}}{r}=\frac{2\times {{(4)}^{2}}}{1}=32N\] It is clear that 52 N tension will be at the bottom of the circle. Because we know that \[{{T}_{\text{Bottom}}}=mg+\frac{m{{v}^{2}}}{r}\]


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