The earth, which is not a uniform sphere, has a moment of inertia of 0.3308MR2 about an axis through its north and south poles. It takes the earth 86,164 s to spin once about this axis. Use Appendix F to calculate
(a) The earth's kinetic energy due to its rotation about this axis and
(b) The earth's kinetic energy due to its orbital motion around the sun.
(c) Explain how the value of the earth's moment of inertia tells us that the mass of the earth is concentrated toward the planet's center