Two concentric spherical shells have masses M 1 , M 2 and radii R 1 , R 2 (R 1

Question

Two concentric spherical shells have masses M 1 , M 2 and radii R 1 , R 2 (R 1 <R 2 ). What is the force exerted by this system on a particle of mass m1 if it is placed at a distance (R 1 + R 2 )/2 from the center?

Philoid · Accepted Answer

Given, the masses of two shells, M₁, M₂ and radii R₁, R₂.

Now, the distance of the particle is

is present outside the first shell while inside the second shell. So, there’s no field due to the larger sphere, and only the smaller one exerts force.

Therefore, the force is given by

Two concentric spherical shells have masses M1, M2 and radii R1, R2 (R1<R2). What is the force exerted by this system on a particle of mass m1 if it is placed at a distance (R1 + R2)/2 from the center?

Two concentric spherical shells have masses M₁, M₂ and radii R₁, R₂ (R₁<R₂). What is the force exerted by this system on a particle of mass m1 if it is placed at a distance (R₁ + R₂)/2 from the center?