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the centre of gravity of a body on ...

the centre of gravity of a body on the earth coincides with its centre of mass for a small object whereas for an extended object it may not ,what is the qualitaitve meaning of small and extended in this regard ?
for which of the following two coincides ? A building , a pond , a lake ,a mountain ?

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When the vertical height of the object is very small as compared to earth.s radius, we call the object small, otherwise it is extended.
(a) Building and pond are small objects.
(b) A deep lake and a mountain are extended objects.
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Knowledge Check

  • The centre of mass of an extended body on the surface of the earth and its centre of gravity

    A
    are always at the point for any size of the body.
    B
    are always at the same point only for spherical bodies.
    C
    can never be at the same point.
    D
    is close to each other for objects, say of sizes less than `100 m`.

  • The mass of a body at the centre of the earth is

    A
    infinite
    B
    zero
    C
    same as at a other places
    D
    greater than at poles

  • The centre of buoyancy of a floating object is :

    A
    At the centre of gravity of the object
    B
    At the centre of gravity of the submerged part of the object
    C
    At the centre of gravity of the remaining part outside the fluid of the object
    D
    At the centre of gravity of the fluid displaced by the submerged part of the object.

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    Can centre of mass of a body coincide with geometrical centre of the body ?

    Does centre of mass and centre of gravity body always coincide?

    The centre of a mass of any object having uniform density is at its centroid

    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.

    In case of bodies of regular shapes, the centre of gravity coincides with the centre of

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