*Answer:* Let us adopt a coordinate system in which the -axis runs
parallel to the second rod, whereas the -axis runs parallel to the first. Let the origin
of our coordinate system correspond to the pivot point. The centre of mass
of the first rod is situated at its mid-point, whose coordinates are

Likewise, the centre of mass of the second rod is situated at its mid-point, whose coordinates are

It follows that the coordinates of the centre of mass of the whole system are given by

and

The angle subtended between the line joining the pivot point and the overall centre of mass, and the first rod is simply

When the system reaches a stable equilibrium state then its centre of mass is aligned directly below the pivot point. This implies that the first rod subtends an angle with the downward vertical.