A string is set into motion by being struck at a point L/4 from one end by triangular hammer. The initial velocity is greatest at x = L/4 and decreases linearly to zero at x = 0 and x = L/2. The region L/2 < x < L is initially undisturbed. Determine the subsequent motion of the string. Why are the fourth, eighth and related harmonics absent? How many decibels down from the fundamental are the second and third harmonics?