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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