- A This Problem Involves Solving The Vibrating Membrane Problem 28 3 2 For A Given Initial Shape Independent Of 1 (40.22 KiB) Viewed 68 times
= a This problem involves solving the “vibrating membrane" problem ($ 28.3.2), for a given initial shape independent of
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= a This problem involves solving the “vibrating membrane" problem ($ 28.3.2), for a given initial shape independent of
= a This problem involves solving the “vibrating membrane" problem ($ 28.3.2), for a given initial shape independent of q and initial velocity of zero. Assume this time that the initial shape of the membrane is triangular, i.e., f(0) = -(-a) for Ospsa, where a is the radius of the drumhead and b is the height of the initial displacement. a) Plot the initial shape (you can take a=1 and b=0.1 for plotting purposes). b) Find the coefficients An. c) Then write the full expression for the full solution for y(e,t). d) Assuming a wave speed c=5, plot (pt) for t=0,0.05, 0.30, and 0.5.
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