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JEE Main & Advanced Sample Paper JEE Main Sample Paper-15

  • question_answer
    Three gears A, B and C are in contact with each other and rotate about their respective axes passing through their centre of mass. Radius of gear A is R, that of B is 2R and that of C is 3R. When A is given angular velocity co, it rotates B and B in turn rotates C with angular \[\omega ,\]velocity \[{{\omega }_{1}}.\]Now B is replaced with another gear B of radius 4R. Now A is again rotated with angular velocity \[\omega \], it rotates B which in turn rotates C with angular velocity \[{{\omega }_{2}}\] now

    A) \[{{\omega }_{1}}>{{\omega }_{2}}\]                     

    B) \[{{\omega }_{1}}<{{\omega }_{2}}\]

    C) \[{{\omega }_{1}}={{\omega }_{2}}\]                     

    D) \[{{\omega }_{1}}=4/3\,{{\omega }_{2}}\]

    Correct Answer: C

    Solution :

    In first case \[\omega .R=\omega '.2R={{\omega }_{1}}.3R\] In second case \[\omega .R=\omega '.4R={{\omega }_{2}}.3R\] \[{{\omega }_{1}}=\omega /3\Rightarrow {{\omega }_{1}}={{\omega }_{2}}\]


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