Numerical Methods for Engineers
Numerical Methods for Engineers
7th Edition
ISBN: 9780073397924
Author: Steven C. Chapra Dr., Raymond P. Canale
Publisher: McGraw-Hill Education
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Chapter 15, Problem 17P

The length of the longest ladder that can negotiate the corner depicted in Fig. P15.17 can be determined by computing the value of θ that minimizes the following function:

L ( θ ) = w 1 sin θ + w 2 sin ( π α θ )

For the case where w 1 = w 2 = 2 m , use a numerical method (including software) to develop a plot of L versus a range of α 's from 45 ° to 135 ° .

FIGURE P15.17

A ladder negotiating a corner formed by two hallways.

Chapter 15, Problem 17P, 15.17	The length of the longest ladder that can negotiate the corner depicted in Fig. P15.17 can be

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