일반물리학 1 — Waves-I: Problem 53

53 A uniform rope of mass $m$ and length $L$ hangs from a ceiling. (a) Show that the speed of a transverse wave on the rope is a function of $y$, the distance from the lower end, and is given by $v = \sqrt{gy}$. (b) Show that the time a transverse wave takes to travel the length of the rope is given by $t = 2\sqrt{L/g}$.