EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 9780100254145
Author: Chapra
Publisher: YUZU
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Chapter 31, Problem 6P
Develop a user-friendly program to model the steady-state distribution of temperature in a rod with a constant heat source using the finite-element method. Set up the program so that unequally spaced nodes may be used.
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In Problems 1-16 the indicated function y₁(x) is a solution of the
given differential equation. Use reduction of order or formula (5), as
instructed, to find a second solution y2(x).
1. y" - 4y' + 4y = 0; yı
=
e2x
-
Problem 3: For a short time, the 300-kg roller-coaster car with passengers is traveling along
the spiral track at a constant speed of v = 8 m/s with r = 15 m. If the track descends d =
6 m for every full revolution, 0 = 2π rad, determine the magnitudes of the components of
force which the track exerts on the car in the r, 0, and z directions. Neglect the size of the car.
Bonus: Develop a MATLAB program to solve for this problem.
Chapter 31 Solutions
EBK NUMERICAL METHODS FOR ENGINEERS
Ch. 31 - 31.1 Repeat Example 31.1, but for and a uniform...Ch. 31 - Repeat Example 31.2, but for boundary conditions...Ch. 31 - Apply the results of Prob. 31.2 to compute the...Ch. 31 - Use Galerkins method to develop an element...Ch. 31 - Prob. 5PCh. 31 - 31.6 Develop a user-friendly program to model the...Ch. 31 - 31.7 Use Excel to perform the same computation as...Ch. 31 - Use MATLAB or Mathcad to develop a contour plot...Ch. 31 - 31.9 Use Excel to model the temperature...Ch. 31 - 31.10 Use MATLAB or Mathcad to develop a contour...
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- Problem 1: In a softball game, Peter throws a ball with an initial velocity Vo 120 km/h at an angle a. At Point B, the height of the ball is 0.7 m. determine (a) the angle a, (b) the angle 0 of the velocity when the ball reaches at Point B. Pr the tra rac 0.7 m B 14 m 0.58 marrow_forwardNot use ai pleasearrow_forwardLemma:- Let x = AX, Y° = By where A = B= 0 Bo then the linear system X = AX Y = BY are Linearly equivalent iff B=α.arrow_forward
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