Consider the rods plus disc system shown in the Figure. The rods are identical. They have a length L =0.50 m, and mass M = 0.250kg. The disc has a radius of R = 0.130m and mass m=0.750kg. Both rods are glued to the disk as shown with X = 0.25m. The system behaves as a compound pendulum that oscillates about pivot point P. The pivot is at P where the tip of both rods meet with one end of the disk. Assume that the disc and rod have uniform mass distributions

Question

Consider the rods plus disc system shown in the Figure. The rods are identical. They have a length L =0.50 m, and mass M = 0.250kg. The disc has a radius of R = 0.130m and mass m=0.750kg. Both rods are glued to the disk as shown with X = 0.25m. The system behaves as a compound pendulum that oscillates about pivot point P. The pivot is at P where the tip of both rods meet with one end of the disk. Assume that the disc and rod have uniform mass distributions
Find the moment of inertia of one of the rods (they should be the same), in units of kgm2, as it freely rotates about the pivot point P.