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May 01, 2019 · 9.2.1 The Gravitational Force Between a Particle and a Uniform Spherical Shell. Case I: A Particle outside the Shell Consider a particle of mass m located outside a uniform spherical shell at point \(\mathrm {P}\) as in Fig. 9.7. Imagine this shell to be made of a large number of thin rings each of outer thickness \( Rd\theta \) and inner .... Gravitational force inside a spherical shell is zero.rArr F_1=F_2=0 For outside point the shell can be treated as a point mass M kept at the centre of the shell. F prop 1/r^2 hence , F_3=G(mM)/r^2, F_4=G(mM)/((2r)^2)rArr F_3 > F_4 Hence , F_1 = F_2 lt F_4 lt F_3 ... Gravitational force inside a spherical shell is zero.rArr F_1=F_2=0 For outside. A ball of mass m and radius R is placed inside a spherical shell of the same mass m and inner radius 2R (see Figure 9.6a). The ball is released and moves back and forth before coming to rest at the bottom of the shell (see Figure 9.6b). What is the displacement of the system ? Figure 9.6. Example Problem 9-3.