Question

A bead of mass m is made to slide around on a ring of radius R...

A bead of mass m is made to slide around on a ring of radius R standing on its side. The bead is attached to one end of a spring with string constant k,

and the other end of the spring is attached to one point on the ring, halfway up one side. There is gravity, g, and you may ignore friction. For simplicity, we will assume that the equilibrium length of the spring (when it has no tension) is =0

a) What is the combined potential function of the system, as a function of the angle θ?

b) What are the equilibrium points of the system, and are they stable or unstable?

Can,t figure out how to sett in the image. But it's a circle with a string attached half way up at the right side at the circule. And this sting is stuck to a mass that can slide along the circule. and there is a angel from the string point to the middel of the circule to the mass that is a delta angel.

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