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Give two examples of bodies in which the...

Give two examples of bodies in which the geometrical-centre-and centre of mass coincide.

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Sphere and cube
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Knowledge Check

  • Statement I: Centre of mass of a rigid body always lies inside the body. Statement II: Centre of mass and centre of gravity coincide if gravity is uniform.

    A
    Statement I is true, statement II is true, statement II is a correct explanation for statement I.
    B
    Statement I is true, statement II true, statement II is not a correct explanation for statement I.
    C
    Statement I is true, statement II is false.
    D
    Statement I is false, statement II is true.

  • A non-uniform ball of radius R and radius of gyration about geometric centre = R/2, is kept on a frictionless surface. The geometric centre coincides with the centre of mass. The ball is struck horizontally with a sharp impulse = J. The point of application of the impulse is at a height 'h' above the surface. Then

    A
    the ball will slip on surface for all cases
    B
    the ball will roll purely if h = 5R/4
    C
    the ball will roll purely if h = 3R/2
    D
    there will be no rotation if h = R

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