Numerical Methods For Engineers, 7 Ed
Numerical Methods For Engineers, 7 Ed
7th Edition
ISBN: 9789352602131
Author: Canale Chapra
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 11, Problem 5P

Perform the same calculations as in Example 11.2, but for the symmetric system,

[ 6 15 55 15 55 225 55 225 979 ] { a 0 a 1 a 2 } = { 152.6 585.6 2488.8 }

In addition to solving for the Cholesky decomposition, employ it to solve for the a's.

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PROBLEM 1: A 12-lb rod ABC is impacted by a 2-lb object DE as shown. The object embeds into the end of the rod at point C, determine immediately after the impact (a) the angular velocity of the rod ABC, (b) the angular acceleration of the rod ABC, A 2 B Unit: ft (c) the components of the reaction at B. 12 Assume that the object and the rod move as a single body after the impact. Vo = 35 ft/s C E D 6
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Numerical Methods For Engineers, 7 Ed

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