PhysicsA table  with  smooth  horizontal  surface  is placed  in a cabin  which moves in circle  of  a large  radius  R. A smooth  pulley  of small  radius  is fastened  to the  table  Two  masses m and 2m  placed  on the  table  are connected  through  string  over the pulley Initially the  masses  are held  by  a person  with  the string  along  the outwards  radius and then the system  is released  (with  respect to the cabin)

A table  with  smooth  horizontal  surface  is placed  in a cabin  which moves in circle  of  a large  radius  R. A smooth  pulley  of small  radius  is fastened  to the  table  Two  masses m and 2m  placed  on the  table  are connected  through  string  over the pulley Initially the  masses  are held  by  a person  with  the string  along  the outwards  radius and then the system  is released  (with  respect to the cabin)

  1. A

    The magnitude  of the  initial  acceleration of the  masses as seen  from  the cabin is ω2R3

  2. B

    The  magnitude  of the initial acceleration  of the masses  as seen from  the cabin is ω2R2

  3. C

    The  tension in the string  is 23mω2R

  4. D

    The tension in the string  is 43mω2R

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    Solution:

     

     

     

     

     

     

    2mRω2T=2ma......(1)

    TmRω2=ma........(2)

    (1)+(2)mRω2=3ma

    a=Rω23

    TmRω2=mRω23

    T=43mRω2

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