(b) The centre point of an elastic string between two points P and Q are 80cm apart. It was deflected from a position of rest and released with uniform velocity of 10. After considering the boundary condition, the motion of a point distance x from P at time t is given as follows: 8nxt +Dsin 80 8nat NAX u(x,t)=| B sin 80 C cos 80 Compute the displacement function u(x,t) of the elastic string when u(x,0)=0 and u, (x,0) = 10 for all 0sxs80.

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(b)
The centre point of an elastic string between two points P and Q are 80cm apart. It was
deflected from a position of rest and released with uniform velocity of 10. After considering
the boundary condition, the motion of a point distance x from P at time t is given as follows:
(8nat
u(x,t) = B sin
80
8nzt
+Dsin
80
C cos
80
Compute the displacement function u(x,t) of the elastic string when u (x,0)=0 and
u, (x,0) 10 for all 0sxs 80.
Transcribed Image Text:(b) The centre point of an elastic string between two points P and Q are 80cm apart. It was deflected from a position of rest and released with uniform velocity of 10. After considering the boundary condition, the motion of a point distance x from P at time t is given as follows: (8nat u(x,t) = B sin 80 8nzt +Dsin 80 C cos 80 Compute the displacement function u(x,t) of the elastic string when u (x,0)=0 and u, (x,0) 10 for all 0sxs 80.
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