Problem 6 Back up to equation 9 Consider a two shell problem

Problem 6 Back up to equation (9). Consider a two shell problem with a core of radius Rc = x×Rp and density c = C ×m and an outer shell of constant density m that extends from Rc to Rp. Show that you can reduce the moment of inertia to

I = 2/5 MR^2 ((x^5C+(1-x^5))/(x^3C+(1-x^3))

(9) I = 8/3 pi r^4 p dr

The integral in eequation 9 is from Rp to 0

Solution

Given problem is incomplete. More information is required to derive the equation asked. many parameters are unstated.