Nonuniform ball. In Figure 11-39, a ball of mass M and radius R rolls smoothly f

Question

Nonuniform ball. In Figure 11-39, a ball of mass M and radius R rolls smoothly from rest down a ramp and onto a circular loop of radius 0.44 m. The initial height of the ball is h = 0.30 m. At the loop bottom, the magnitude of the normal force on the ball is 2.08Mg. The ball consists of an outer 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 I = ?MR2, but ? is not 0.4 as it is for a ball of uniform density. Determine ?.

I figured it to be 4/11 or .364 and it is wrong?

Explanation / Answer

mgh= KE + RE

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