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  3. CEE Kerala Engineering

CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2001

  • question_answer
    A stone of mass m is tied to a string and is moved in a vertical circle of radius r making n rev/min. The total tension in the string when the stone is at its lowest point is:

    A)  \[mg\]                                

    B)  \[m(g+\pi n{{r}^{2}})\]

    C)         \[m(g+nr)\]      

    D)         \[m(g+{{n}^{2}}{{r}^{2}})\]

    E)  \[m\left\{ g+\frac{{{\pi }^{2}}{{n}^{2}}r}{900} \right\}\]

    Correct Answer: E

    Solution :

    \[{{T}_{net}}=\frac{m{{v}^{2}}}{r}+mg=mr{{\omega }^{2}}+mg\] \[=mr{{\left( \frac{2\pi n}{60} \right)}^{2}}+mg=m\left[ \frac{{{\pi }^{2}}{{n}^{2}}r}{900}+g \right]\]


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