Assume the following:
- A tire-like wheel and sphere are both of diameter d and mass m
- They are both made of the same material
- They are both resting at the apex of an inclined track
- An equal amount of force is applied to both objects to send it from rest to moving downhill
- The wheel and sphere will travel linearly
How do the shapes and the shapes alone of these two objects impact it's speed, acceleration, and distance traveled? Clearly the surface area of the contact patch will differ greatly and thus the tire is likely to experience more friction, but I'm curious if the shapes have an impact on their travel.
Questions to Specify the Problem
"Do they roll without slipping?" – fqq
I'd say that the answer is probably enveloped within the solution. In other words, I don't know! Does the shape make a difference?