Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
9.14 Perform the same computation as in Example 9.11, but use five parachutists with the following characteristics: Parachutist Mass, kg Drag Coefficient, kg/s 55 75 60 75 90 10 12 15 16 10 The parachutists have a velocity of 9 m/s. -2345

9.14 Perform the same computation as in Example 9.11, but use five parachutists with the following characteristics: Parachutist Mass, kg Drag Coefficient, kg/s 55 75 60 75 90 10 12 15 16 10 The parachutists have a velocity of 9 m/s. -2345

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
See similar textbooks
icon
Related questions
Question

The question is in the picture

9.14 Perform the same computation as in Example 9.11, but use five parachutists with the following characteristics: Parachutist Mass, kg Drag Coefficient, kg/s 55 75 60 75 90 10 12 15 16 10 The parachutists have a velocity of 9 m/s. -2345
Transcribed Image Text:9.14 Perform the same computation as in Example 9.11, but use five parachutists with the following characteristics: Parachutist Mass, kg Drag Coefficient, kg/s 55 75 60 75 90 10 12 15 16 10 The parachutists have a velocity of 9 m/s. -2345
EXAMPLE 9.11 Solution of Linear Algebraic Equations Using the Computer Problem Statement. A computer program to solve linear algebraic equations such as one based on Fig. 9.6 can be used to solve a problem associated with the falling parachutist example discussed in Chap. 1. Suppose that a team of three parachutists is connected by a weightless cord while free-falling at a velocity of 5 m/s (Fig. 9.7). 270 GAUSS ELIMINATION 3 1 FIGURE 9.8 Free-body diagrams for each of the three falling parachutists. Calculate the tension in each section of cord and the acceleration of the team, given the following: Parachutist Mass, kg Drag Coefficient, kg/s 70 10 60 14 40 Solution. Free-body diagrams for each of the parachutists are depicted in Fig. 9.8. Summing the forces in the vertical direction and using Newton's second law gives a set of three simultaneous linear equations: = mja m2g + T- czv - R = mza - Czv + R = mya mig - T - Cu These equations have three unknowns: a, T, and R. After substituting the known values, the equations can be expressed in matrix form as (g = 9.81 m/s), FIGURE 9.7 (636.7 = {518.6 307.4 70 Three parachutists freefalling while connected by weightless cords. 60 -1 40 This system can be solved using your own software. The result is a = 8.6041 m/s; T = 34.4118 N; and R- 36.7647 N.
Transcribed Image Text:EXAMPLE 9.11 Solution of Linear Algebraic Equations Using the Computer Problem Statement. A computer program to solve linear algebraic equations such as one based on Fig. 9.6 can be used to solve a problem associated with the falling parachutist example discussed in Chap. 1. Suppose that a team of three parachutists is connected by a weightless cord while free-falling at a velocity of 5 m/s (Fig. 9.7). 270 GAUSS ELIMINATION 3 1 FIGURE 9.8 Free-body diagrams for each of the three falling parachutists. Calculate the tension in each section of cord and the acceleration of the team, given the following: Parachutist Mass, kg Drag Coefficient, kg/s 70 10 60 14 40 Solution. Free-body diagrams for each of the parachutists are depicted in Fig. 9.8. Summing the forces in the vertical direction and using Newton's second law gives a set of three simultaneous linear equations: = mja m2g + T- czv - R = mza - Czv + R = mya mig - T - Cu These equations have three unknowns: a, T, and R. After substituting the known values, the equations can be expressed in matrix form as (g = 9.81 m/s), FIGURE 9.7 (636.7 = {518.6 307.4 70 Three parachutists freefalling while connected by weightless cords. 60 -1 40 This system can be solved using your own software. The result is a = 8.6041 m/s; T = 34.4118 N; and R- 36.7647 N.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS