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Why the centre of gravity coincides with...

Why the centre of gravity coincides with the centre of mass only if the size of the body is small ?

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`g` does not vary from point to point.
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Under which condition (i) the centre of buoyancy coincides with the center of gravity (ii) the centre of bouyancy does not coincide with the centre of gravity.

Knowledge Check

  • The centre of mass of a body

    A
    Lies always at the geometrical centre
    B
    Lies always inside the body
    C
    Lies always outside the body
    D
    May lie within or outside the body.
  • The centre of mass of a body

    A
    depends on the choice of co - ordinate system
    B
    is independent of the choice of co - ordinate system .
    C
    may or may not depend on the choice of co - ordinate system
    D
    None of the above
  • The centre of mass of a body

    A
    lies always outside the body.
    B
    may lie within, outside on the surface of the body.
    C
    lies always inside the body.
    D
    lies always on the surface of the body.
  • Similar Questions

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    The centre of mass of a body

    Assertion: The centre of gravity of a body coincides with its centre of mass only if the gravitational field does not vary form one part of the body to the other. Reason: Centre of gravity is independent of the gravitational field.

    The centre of mass of a body lies

    The line joining the centre of gravity of a cuboid and the centre of the Earth will fall within the base of the body even after being disturbed by an external force. Then the body is said to be in _____.

    (1) Centre of gravity (C.G.) of a body is the point at which the weight of the body acts, (2) Centre of mass coincides with the centre of gravity if the earth is assumed to have infinitely large radius, (3) To evaluate the gravitational field intensity due to any body at an external point, the entire mass of the body can be cosidered to be concentrated at its C.G.., (4) The radius of gyration of any body rotating about ab axis is the length of the perpendicular dropped from thr C.G. the body to the axis. which one of the following paries of statements is correct ?