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BCECE Engineering BCECE Engineering Solved Paper-2013

  • question_answer
    A weigthtless thread can bear tension up to  \[\text{3}\text{.7 kg wt}\text{.}\] A stone of mass 500 g is tied to it and revolved in a circular path of radius 4m in a vertical plane. If \[g=10\text{ }m/{{s}^{2}},\]then the maximum angular velocity of the stone will be

    A)  2 rad/s              

    B)         4 rad/s

    C)         16 rad/s             

    D)        \[\sqrt{21}\,rad/s\]

    Correct Answer: B

    Solution :

    Maximum tension \[=\frac{m{{v}^{2}}}{r}+mg\] \[3.7\times 10=\frac{0.5{{v}^{2}}}{4}+0.5\times 10\] \[\Rightarrow \]               \[v=16\,m/s\] \[\therefore \]  \[\omega =\frac{v}{r}=\frac{16}{4}=4\,rad/s\]


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