NEET Sample Paper NEET Sample Test Paper-21

  • question_answer
                An annular ring with inner and outer radii \[{{R}_{1}}\] and\[{{R}_{2}}\]is rolling without slipping with a uniform angular speed. The ratio of the forces experienced by the two particles situated on the inner and outer parts F of the ring, \[\frac{{{F}_{1}}}{{{F}_{2}}}\]is

    A)  1                    

    B)   \[\frac{{{R}_{1}}}{{{R}_{2}}}\]               

    C) \[\frac{{{R}_{2}}}{{{R}_{1}}}\]               

    D)   \[{{\left( \frac{{{R}_{1}}}{{{R}_{2}}} \right)}^{2}}\]  

    Correct Answer: B

    Solution :

    Let particle A be situated on the inner part and B on the outer part of the ring. As the ring is moving with uniform angular speed, so their angular accelerations are zero, therefore both the particles will experience centrifugal force only. \[\frac{{{F}_{1}}}{{{F}_{2}}}=\frac{m{{\omega }^{2}}{{R}_{1}}}{m{{\omega }^{2}}{{R}_{2}}}=\frac{{{R}_{1}}}{{{R}_{2}}}\] Hence, the correction option is (b).

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