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-6.30. A particle of mass m' is placed on the line joining the two centres at 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) r lt x lt 2r, (b) 2rlt x lt 2R "and"(c) xgt2R.

A solid sphere of mass m and radius r is placed inside a hollow thin s

1.	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-6.30. A particle of mass m' is placed on the line joining the two centres at 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) r lt x lt 2r, (b) 2rlt x lt 2R "and"(c) xgt2R.
Answer» ANSWER :`(Gmm'(x-R))/(r^(3))(B)(Gmm')/((x-r)^(2))(c)(GMm')/((x-R)^(2))+(Gmm')/((x-r)^(2))`