The centre of mass of an extended body on the | vedclass

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(C) The centre of mass $(CM)$ is the point where the total mass of the body is assumed to be concentrated.The centre of gravity $(CG)$ is the point wh

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centre of mass coincides with the centre of gravity of a body if the size of the body is negligible as compared to the size (or radius) of the earth.

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(C) The centre of mass $(CM)$ is the point where the total mass of the body is assumed to be concentrated.The centre of gravity $(CG)$ is the point where the total gravitational force (weight) acts on the body.On the surface of the Earth,the gravitational field $g$ varies with height. If the size of the body is very small compared to the radius of the Earth $(R_e)$,the gravitational field $g$ can be considered uniform across the body.In a uniform gravitational field,the $CM$ and $CG$ coincide.Therefore,for an extended body on the surface of the Earth,the $CM$ and $CG$ coincide if the size of the body is negligible compared to the radius of the Earth.

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

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