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1. Suppose that a team of four parachutists is connected by a weightless cord while free-falling at a velocity of 9 m/s. Calculate the tension in each section of cord and the acceleration of the team, given the following: Mass, kg Parachutist Drag Coefficient, kg/s 75 12 60 15 75 16 90 10

1. Suppose that a team of four parachutists is connected by a weightless cord while free-falling at a velocity of 9 m/s. Calculate the tension in each section of cord and the acceleration of the team, given the following: Mass, kg Parachutist Drag Coefficient, kg/s 75 12 60 15 75 16 90 10

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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I. Word Problem. USE GAUSS ELIMINATION TO SOLVE THE GIVEN PROBLEM. SHOW COMPLETE AND CORRECT SOLUTIONS IN ANSWERING. 1. Suppose that a team of four parachutists is connected by a weightless cord while free-falling at a velocity of 9 m/s. Calculate the tension in each section of cord and the acceleration of the team, given the following: Mass, kg Parachutist Drag Coefficient, kg/s 1 75 12 2 60 15 3 75 16 90 10 I. Excel Problem. USE EXCEL TO SOLVE THE FOLLOWING PROBLEMS. 1. The displacement of a structure is defined by the following equation for a damped oscillti y = 9e-ktcoswt Where k = 0.7 and w = 4. Use the MOSS to determine the root to e = 0.001%. 2. Given f(x) = -2x* – 1.6x* + 12x + 1. Use bisection to determine the maximum of this function. Employ initial guesses of X =0, X2 = 1, and perform iterations until the approximate relative error falls below 0.05%. 3. The polynomial f(x) = 0.0074x* – 0.284x² + 3.355x? – 12.183x+ 5 has a real root between 15 and 20. Apply the Newton's Raphson Method to this function using an initial guess of xo = 16.15
Transcribed Image Text:I. Word Problem. USE GAUSS ELIMINATION TO SOLVE THE GIVEN PROBLEM. SHOW COMPLETE AND CORRECT SOLUTIONS IN ANSWERING. 1. Suppose that a team of four parachutists is connected by a weightless cord while free-falling at a velocity of 9 m/s. Calculate the tension in each section of cord and the acceleration of the team, given the following: Mass, kg Parachutist Drag Coefficient, kg/s 1 75 12 2 60 15 3 75 16 90 10 I. Excel Problem. USE EXCEL TO SOLVE THE FOLLOWING PROBLEMS. 1. The displacement of a structure is defined by the following equation for a damped oscillti y = 9e-ktcoswt Where k = 0.7 and w = 4. Use the MOSS to determine the root to e = 0.001%. 2. Given f(x) = -2x* – 1.6x* + 12x + 1. Use bisection to determine the maximum of this function. Employ initial guesses of X =0, X2 = 1, and perform iterations until the approximate relative error falls below 0.05%. 3. The polynomial f(x) = 0.0074x* – 0.284x² + 3.355x? – 12.183x+ 5 has a real root between 15 and 20. Apply the Newton's Raphson Method to this function using an initial guess of xo = 16.15
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