The length of the longest ladder that can negotiate the corner depicted in Fig. P15.17 can be

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


For the case where w1 = w2 = 2 m, use a numerical method (including software) to develop a plot of L versus a range of α’s from 45o to 135o.

Figure P15.17

A ladder negotiating a corner formed by two hallways.

The length of the longest ladder that can negotiate the

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Numerical Methods for Engineers

ISBN: 978-9352602131

7th edition

Authors: Steven C. Chapra, Raymond P. Canale

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