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

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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 1 (72.99 KiB) Viewed 32 times

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