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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 the earth 's radius , we call the object small ,otherwise it is extended .
(i) Building and pond are small objects.
(ii) A deep lake and a mountain are examples of 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.

    • Similar Questions

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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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