PhysicsFrom a sphere of radius 1 m, a sphere of radius 0.5 m is removed from the edge. The shift in the C.M. is 

From a sphere of radius 1 m, a sphere of radius 0.5 m is removed from the edge. The shift in the C.M. is 

  1. A

    13/16 m

  2. B

    16/13 m

  3. C

    14/13 m

  4. D

    1/14 m

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    Solution:

    Given data:   Sphere with radius 0.5m is removed from the edge of a sphere of radius 1m

    Concept Used:  Systems of Particles

    Detailed Solution:

    As we know,

    COM of sphere is located at centre of sphere.

    Let mass of sphere of radius 1m be M and its centre be at the origin of a Cartesian system

    If a sphere of radius 0.5m is removed from it, COM of small sphere is located at (0.5, 0).

    Then, Mass of small sphere m=M43π0.5343π13=M×(0.5)3=M8

    Now, Centre of mass will be calculated as-

    x=m1x1-m2x2m1-m2

     x=M×0-M8×0.5M-M8

     x=-M107m8

     x= -114m

    Similarly, we can find value of y using same formula,

    We get, y=0.

     

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