Chhattisgarh PMT Chhattisgarh PMT Solved Paper-2007

  • 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/s. The tension in the string will be 52 N, when the stone is

    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 :

    Given,   \[m=2kg.\,\,,\,v=4m/s\] \[r=1m,\]             \[T=52N\] \[T-mg\,\cos \theta =\frac{m{{v}^{2}}}{r}\] \[52-2\times 10\cos \theta =\frac{2\times 4\times 4}{1}\]                 \[\cos \theta =\frac{20}{20}=1\]                 \[=\cos \,{{0}^{o}}\]                 \[\therefore \]                  \[\theta ={{0}^{o}}\] \[\theta ={{0}^{o}}\]at the bottom of the circle.


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