Consider a metal rod of length L fastened at both ends. If you cut the rod and

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Consider a metal rod of length L fastened at both ends. If you cut the rod and weld on an additional segment of length m, leaving the ends fixed, the rod will bow up into a circular arc of radius R (unknown), as indicated in Figure 12.

- R L h

Leth be the maximum vertical displacement of the rod. (a) Show that L = 2R sin 0 and conclude that (b) Show

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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