A long uniform rod of length L and total mass m is pivoted about an axis that is L/8 from one end.

a)Draw a diagram of the rod and show the axis, dm, dr, and r on the diagram.

b)Use integration to find the moment of inertia for this uniform density rod in terms of m and L. Confirm your answer using the parallel axis theorem. Check and make sure your answer is the same as what you got via integration.