A thin uniform rod of mass ?M? and length ?L? is bent at its center so that the two segments are now perpendicular to each other. Find its moment of inertia about an axis perpendicular to its plane and passing through (a) the point where the two segments meet and (b) the midpoint of the line connecting its two ends.

Solution 57E Problem (a) Step 1: Given statement is A thin uniform rod of mass M and length L is bent at its center so that the two segments are now perpendicular to each other. The above diagram shows that the two segments of length Lwhich are mutually 2 perpendicular. The segments are rotated about the axis shown. The total moment of inertia is nothing but the sum of moment of inertia of the two rod segments. Mass of each M segment is 2 .