Numerical Methods for Engineers
7th Edition
ISBN: 9780073397924
Author: Steven C. Chapra Dr., Raymond P. Canale
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 23, Problem 6P
Employ Eq. (23.9) to determine the first derivative of
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The system shown below is in statics equilibrium. Cable OB lies in the xy plane and makes a 30° angle with the positive x-axis. Cable OA lies along the negative y-axis. If the weight of the load being supported is 100 lb, determine the magnitude of the forces in all four cables: OA, OB, OC, and OD.
This is a mechanics/statics problem involving finding internal reactions, V(x) and M(x). Please refer to image for details. I'm not sure about where to take cuts and how to formulate the equations as a function of x. For my support Reactions I got Ay = 1008.33 lb, By = 1416.67 lb and Cy = 175 lb. and for the first cut V(x) = 1008.33 -250(x) and M(x) = 1008.33x - 125x^2. I'm struggling with the equations for the 2nd and 3rd cut.
As shown in the figure below, a ring is used to suspend a load and is supported by Cable OA and Spring OB. Given that the tension in Cable OA is 400 N, what is the weight of the load being supported? Assume the system is in static equilibrium.
Chapter 23 Solutions
Numerical Methods for Engineers
Ch. 23 - 23.1 Compute forward and backward difference...Ch. 23 - 23.2 Repeat Prob. 23.1, but for evaluated at...Ch. 23 - 23.3 Use centered difference approximations to...Ch. 23 - Use Richardson extrapolation to estimate the first...Ch. 23 - Repeat Prob. 23.4, but for the first derivative of...Ch. 23 - 23.6 Employ Eq. (23.9) to determine the first...Ch. 23 - 23.7 Prove that for equispaced data points, Eq....Ch. 23 - Compute the first-order central difference...Ch. 23 - Prob. 9PCh. 23 - Develop a user-friendly program to apply a Romberg...
Ch. 23 - 23.11 Develop a user-friendly program to obtain...Ch. 23 - 23.12 The following data are provided for the...Ch. 23 - 23.13 Recall that for the falling parachutist...Ch. 23 - The normal distribution is defined as f(x)=12ex2/2...Ch. 23 - 23.15 The following data were generated from the...Ch. 23 - Evaluate f/x,f/y, and f/(xy) for the following...Ch. 23 - 23.17 Evaluate the following integral with...Ch. 23 - 23.18 Use the diff command in MATLAB and compute...Ch. 23 - The objective of this problem is to compare...Ch. 23 - Use a Taylor series expansion to derive a centered...Ch. 23 - Use the following data to find the velocity and...Ch. 23 - 23.22 A plane is being tracked by radar, and data...Ch. 23 - 23.23 Develop an Excel VBA macro program to read...Ch. 23 - Use regression to estimate the acceleration at...Ch. 23 - You have to measure the flow rate of water through...Ch. 23 - The velocity y (m/s) of air fl owing past a flat...Ch. 23 - Chemical reactions often follow the model:...Ch. 23 - 23.28 The velocity profile of a fluid in a...Ch. 23 - 23.29 The amount of mass transported via a pipe...
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For Problems 23-28, write in simpler form, as in Example 4. logbFG
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