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JEE Main & Advanced Physics Two Dimensional Motion Question Bank Uniform Circular Motion

  • question_answer
    A boy on a cycle pedals around a circle of 20 metres radius at a speed of \[20\,metres/\sec .\] The combined mass of the boy and the cycle is 90 kg. The angle that the cycle makes with the vertical so that it may not fall is \[(g=9.8\,m/{{\sec }^{2}})\]                                    [MP PMT 1995]

    A)             \[{{60.25}^{o}}\]

    B)                      \[{{63.90}^{o}}\]

    C)             \[{{26.12}^{o}}\]

    D)                      \[{{30.00}^{o}}\]

    Correct Answer: B

    Solution :

                    \[\tan \theta =\frac{{{v}^{2}}}{rg}=\frac{400}{20\times 9.8}\] Þ \[\theta =63.9{}^\circ \]


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