The images shows the arm of a traditional turntable. It consists of a metal beam of mass mbeam=11.9 g, a pickup system of mass ma=4 g, and an adjustable counterweight of mass mg=61.91 g. The beam extends La=22.9 cm to the left of where it pivots, and Lb=4.2 cm to the right. The center-of-mass of the pickup system is also located La=22.9 cm to the left of the pivot point, and the needle is directly underneath. The beam should be horizontal. The force with which the needle needs to be pressed into the groove of the record is 20.6 mN. At what distance Lg to the right of the pivot point should the center-of-mass of the counterweight be located?