Suppose we have a number of rings, each of them is constructed from some mass of wrought iron or steel: each ring is a polygon, which I would like to suppose is constructed without welding (so they are cast and then machined to tolerances). The side length is $a$ and the radius of each side (assume they are locally cylindrical away from the joins) is $r$. They are suspended at a point (like the musical instrument, the triangle)
- If the rings are of constant internal area, what frequency sound do they make when struck?
- If the rings are of constant side length, what frequency sound do they make when struck