(Solved): The inertia tensor being computed is about point O. Please solve Problem 1. The rigid body shown be ...

Problem 1. The rigid body shown below is made out of a slender rod with length $4b$ and a mass $m$. The diameter of the rod is very small compared to its length. Compute the inertia tensor for the shape. Hint: You might want to break down this shape into 3 slender rods. Note that slender rods have a moment of inertia of 0 along their axes.