ball. In Figure 11.36, a ball of mass M and radius R rolls smoothy from rest down a ramp onto a circular loop of radius 0.46 m. The initial height of the ball is h = 0.37 m. At the loop bottom, the magnitude of the normal force on the ball is 1.98 Mg. The ball consists of an spherical shell (of a certain uniform density) that is glued to a central sphere (of a different uniform density). The rotational inertia of the ball can be expressed in the general form t = beta MR2, but beta is not 0.4 as it is for a ball of uniform density. Determine beta.