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● Problem Use bisection method to solve for mass, m, in the bungee jumper mathematical model. Assume v=36, t=4, g=9.81 and ca=0.25. Use initial guesses of xl=50 and xu=200. Tabulate the values for xl, xu, xr, and the approximate percent relative error for each iteration. Note also the signs of f(xl), f(xu) and f(xr). Use a stopping criterion of Es = 0.5%. f(m) = gm V ca Cd tanh gCd m -t - v(t)

● Problem Use bisection method to solve for mass, m, in the bungee jumper mathematical model. Assume v=36, t=4, g=9.81 and ca=0.25. Use initial guesses of xl=50 and xu=200. Tabulate the values for xl, xu, xr, and the approximate percent relative error for each iteration. Note also the signs of f(xl), f(xu) and f(xr). Use a stopping criterion of Es = 0.5%. f(m) = gm V ca Cd tanh gCd m -t - v(t)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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● Problem Use bisection method to solve for mass, m, in the bungee jumper mathematical model. Assume v=36, t=4, g=9.81 and ca=0.25. Use initial guesses of xl-50 and xu=200. Tabulate the values for xl, xu, xr, and the approximate percent relative error for each iteration. Note also the signs of f(xl), f(xu) and f(xr). Use a stopping criterion of Es = 0.5%. f (m) = gm V Ca tanh gCd m t - v(t)
Transcribed Image Text:● Problem Use bisection method to solve for mass, m, in the bungee jumper mathematical model. Assume v=36, t=4, g=9.81 and ca=0.25. Use initial guesses of xl-50 and xu=200. Tabulate the values for xl, xu, xr, and the approximate percent relative error for each iteration. Note also the signs of f(xl), f(xu) and f(xr). Use a stopping criterion of Es = 0.5%. f (m) = gm V Ca tanh gCd m t - v(t)
Sample output >> bisect (50, 200) i x1 1 50.00000 200.00000 125.00000 200.00000 2 3 125.00000 162.50000 4 125.00000 143.75000 5 134.37500 143.75000 6 139.06250 143.75000 7 141.40625 143.75000 8 142.57813 143.75000 >> | xu xx 125.0000 162.5000 143.7500 134.3750 139.0625 141.4063 142.5781 143.1641 Ea 100.00 23.08 13.04 6.98 3.37 1.66 0.82 0.41
Transcribed Image Text:Sample output >> bisect (50, 200) i x1 1 50.00000 200.00000 125.00000 200.00000 2 3 125.00000 162.50000 4 125.00000 143.75000 5 134.37500 143.75000 6 139.06250 143.75000 7 141.40625 143.75000 8 142.57813 143.75000 >> | xu xx 125.0000 162.5000 143.7500 134.3750 139.0625 141.4063 142.5781 143.1641 Ea 100.00 23.08 13.04 6.98 3.37 1.66 0.82 0.41
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