I don't understand why changing the number of bearings changes anything. It just looks like it would fill up more of the space around the hub. If you could explain that I might be able to help.
Having an extremely difficult time solving 2 problems. Have posted it as a photo attachment. The first 2 paragraphs & diagram relate to the 1st problem. The last paragraph is for the second problem.
For the second problem, I tried using double-angle formula, but I don't know where to go after that. For the first problem, I am completely lost. Any help would be appreciated. Thanks
I think the diagram is a little misleading. It's just meant to show you what a, b, and c are. When there are three bearings, they fill up the entire circle, touching each other (i.e. a will be very small and b very big). As you add more ball bearings, a increases and b decreases. I think that's what the problem is trying to say.
have a look here
Steiner Chain -- from Wolfram MathWorld