Question 7 One end of a finite segment of string of length L is fixed and the other is free. The initial velocity of the
Posted: Mon May 09, 2022 10:53 am
Question 7 One end of a finite segment of string of length L is fixed and the other is free. The initial velocity of the string is zero, and the initial displacement is given by 4(x) = sin (Tt /2L). There is a distributive force on the string of the form a TU nat f(t, x) = sin 21 sin L Find the vibrations of the string for t > 0,0 < x < L, that is, solve a’Uzx + f(t, x), u(t,0) = 4x(t, L) = 0, u(0,x) = 4(x), ut(0, x) = 0. Utt = = = = 2