The density of the earth is not quite uniform. It varies with

The density of the earth is not quite uniform. It varies with

The density of the earth is not quite uniform. It varies with the distance r from the center of the earth as r = C(1.22 – r/R), where R is the radius of the earth and C is a constant.
(a) Find C in terms of the total mass M and the radius R.
(b) Find the moment of inertia of the earth. (See Problem 40.)

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