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A thin spherical shell of mass M and rad...

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

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a solid sphere of mass m and radius r is placed inside a hollow thin spherical shell of mass M and radius R as shown in figure. A particle of mass m is placed on the line joining the two centers as a distance x from the point of contact of the sphere and the shell. Find the magnitude of the resultant gravitational force on this particle due to the sphere and the shell if a). rltxlt2r, b). 2rltxlt2R and c). xgt2R .

a solid sphere of mass m and radius r is placed inside a hollow thin spherical shell of mass M and radius R as shown in figure. A particle of mass m is placed on the line joining the two centers as a distance x from the point of contact of the sphere and the shell. Find the magnitude of the resultant gravitational force on this particle due to the sphere and the shell if a). rltxlt2r , b). 2rltxlt2R and c). xgt2R .

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