Question

In: Physics

Consider an elastic string of length L whose ends are held fixed. The string is set...

Consider an elastic string of length L whose ends are held fixed. The string is set in motion with no initial velocity from an initial position

u(x, 0) = f(x).

Let

L = 10

and

a = 1

in parts (b) and (c). (A computer algebra system is recommended.)

f(x) =

16x

L

,

0

≤

x

≤

L

4

,

4,

L

4

<

x

<

3L

4

,

16(L − x)

L

,

3L

4

≤ x

≤ L

(a) Find the displacement

u(x, t)

for the given initial position

f(x).

(Use a to represent an arbitrary constant.)
u(x, t) =

∞

n = 1

Expert Solution

genius_generous answered 3 years ago

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