Discuss the below:
A ring on an vibrating string
We put a small ring of mass m on the long (infinite) string. The ring slides without friction. How does the ring move, when we send by a string the sine wave? How does the wave scatter on the ring? (I need the amplitude of scattering waves, or reflection coefficient R).
Provide a mathematical procedure (differential equations) -some steps to show me how can we find the solution of this problem. And also some limits (when m goes against 0 or infinity) are welcome (not necessary).
