Pressure on a Sphere due to an Interior Force

AI Thread Summary
The discussion centers on calculating the pressure on the surface of a sphere caused by gravitational forces from its uniformly distributed interior mass. The pressure is proposed to be determined by dividing the weight of the mass by the surface area of the sphere. The weight is calculated as the product of the mass and gravitational force. The area of the sphere's surface is straightforward to compute, facilitating the pressure calculation. This analysis highlights the relationship between mass distribution and pressure exerted on the sphere's surface.
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Consider a sphere of mass M and radius R. The interior of the sphere is a uniformly distributed mass M.

The surface shell of the sphere has a certain mass dm. What is the pressure on the surface of the sphere due to gravitational forces?
 
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wouldnt the pressure just be the weight per surface area?

the weight is just the mass times the gravitational force.

the area is easy to calculate
 

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