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

  • question_answer
    A simple pendulum oscillates in a vertical plane.  When it passes through the mean position, the tension in the string is 3 times the weight of the pendulum bob.  What is the maximum displacement of the pendulum of the string with respect to the vertical                               [Orissa JEE 2002]

    A)             \[{{30}^{o}}\]         

    B)             \[{{45}^{o}}\]

    C)             \[{{60}^{o}}\]         

    D)             \[{{90}^{o}}\]

    Correct Answer: D

    Solution :

                    Tension at mean position, \[mg+\frac{m{{v}^{2}}}{r}=3mg\]             \[v=\sqrt{2gl}\]                                   ?(i)             and if the body displaces by angle q with the vertical then \[v=\sqrt{2gl(1-\cos \theta )}\]                              ?(ii)             Comparing (i) and (ii), \[\cos \theta =0\] Þ \[\theta =90{}^\circ \]


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