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A finite of length l that is fixed at both ends and is

Problem 1: A finite of length L that is fixed at both ends and is release from rest with an initial displacement will have the following mathematical description by the wave equation:

Uπ = a² Uxx

Given a = 30 m/s and the initial velocity of 300sin (4πx) from its equilibrium position and L = 4m, find the solution for the displacement. What is the maximum displacement? Clearly indicate each step of your working. If the length is reduced to 2m, what will the effect on the maximum displacement?

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Engineering Mathematics: A finite of length l that is fixed at both ends and is

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