Problem 2: (a) Consider a right circular cylinder of radius R centered on the z axis. Find the relation between pand z that describes the geodesics (stationary paths) on the surface of this cylinder. (b) Specifically, for an initial point at (p, z) = (0,0) and an endpoint at arbitrary (øƒ, zƒ), write down an equation for the stationary paths between these two points. [There are many such paths. Why?]

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