3) Both ends of a string are attached to two walls at a height of 0 cm. The string is 25 cmlong and the walls are separated by 25 cm. The horizontal distance between the walls ismeasured by the variable x, 0≤x≤ 25. Initially, t=0, the string is stretched to have itsheight, u(x), given by u(x) = 4sin(2x/25). Initially the string is at rest, that is it has novertical velocity at any point. The speed of a wave propagating along the string is3cm/sec.A) Write the wave equation for the string.B) Write the boundary conditions for the string (x = 0 and x =25).C) Solve for the height, u(x, t), of the wave for t > 0.

Given that both ends of a string are attached to two walls that are separated by 25cm, it is…

3) Both ends of a string are attached to two walls at a height of 0 cm. The string is 25 cm long and the walls are separated by 25 cm. The horizontal distance between the walls is measured by the variable x, 0≤x≤ 25. Initially, t=0, the string is stretched to have its height, u(x), given by u(x) = 4sin(2лx/25). Initially the string is at rest, that is it has no vertical velocity at any point. The speed of a wave propagating along the string is 3cm/sec. A) Write the wave equation for the string. B) Write the boundary conditions for the string (x = 0 and x =25). C) Solve for the height, u(x, t), of the wave for t > 0.

3) Both ends of a string are attached to two walls at a height of 0 cm. The string is 25 cm long and the walls are separated by 25 cm. The horizontal distance between the walls is measured by the variable x, 0≤x≤ 25. Initially, t=0, the string is stretched to have its height, u(x), given by u(x) = 4sin(2лx/25). Initially the string is at rest, that is it has no vertical velocity at any point. The speed of a wave propagating along the string is 3cm/sec. A) Write the wave equation for the string. B) Write the boundary conditions for the string (x = 0 and x =25). C) Solve for the height, u(x, t), of the wave for t > 0.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 92E

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