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CENTRE OF MASS OF UNIFORM HEMI-SPHERICAL...

CENTRE OF MASS OF UNIFORM HEMI-SPHERICAL SHELL

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The gravitational force between a hollow spherical shell (of radius R and uniform density) and a point mass is F. Show the nature of F versus r graph where r is the distance of the point from the centre of the hollow spherical shell of uniform density

A point mass m is placed inside a spherical shell of radius R and mass M at a distance R/2 form the centre of the shell. The gravitational force exerted by the shell on the point mass is

Find the gravitational potential due to a spherical shell of mass M and radius R at r lt R and r gt R , where r is the distance from the centre of the shell.

A thin spherical shell of mass M and radius R has a small hole. A particle of mass m released at its mouth. Then