Classical Mechanics (Kibble & Berkshire) · Problem 3.6

Problems in particle dynamics — T.W.B. Kibble, F.H. Berkshire

Physics — Mechanics · gravitation-spheres

Problem

A narrow hole is drilled through the centre of a uniform sphere of mass

M

and radius

a

. Find the gravitational force exerted on a particle of mass

m

which is inside the hole at a distance

r

from the centre.