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

  • question_answer
    A weightless thread can bear tension upto 3.7 kg wt. A stone of mass 500 gms is tied to it and revolved in a circular path of radius 4 m in a vertical plane. If \[g=10\,m{{s}^{-2}}\], then the maximum angular velocity of the stone will be                                      [MP PMT/PET 1998]

    A)             4 radians/sec

    B)                      16 radians/sec

    C)             \[\sqrt{21}\] radians/sec          

    D)             2 radians/sec

    Correct Answer: A

    Solution :

                    Max. tension that string can bear = 3.7 kgwt = 37N Tension at lowest point of vertical \[\text{loop}=mg+m{{\omega }^{2}}r\]                                 = \[0.5\times 10+0.5\times {{\omega }^{2}}\times 4=5+2{{\omega }^{2}}\] \ 37 = 5 + 2w2 Þ w = 4 rad/s.


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