Question

A? cos ?? + A? cos ?? + A? cos ?? = x?? (E.1) 1.8019A? cos ?? + 0.4450A? cos ?? - 1.2468A? cos ?? = 0 (E.2) 2.2470A? cos ?? - 0.8020A? cos ?? + 0.5544A? cos ?? = 0 (E.3) -0.44504 \sqrt{\frac{k}{m}} A? sin ?? - 1.2471 \sqrt{\frac{k}{m}} A? sin ?? - 1.8025 \sqrt{\frac{k}{m}} A? sin ?? = 0 (E.4) -0.80192 \sqrt{\frac{k}{m}} A? sin ?? - 0.55496 \sqrt{\frac{k}{m}} A? sin ?? + 2.2474 \sqrt{\frac{k}{m}} A? sin ?? = 0 (E.5) -1.0 \sqrt{\frac{k}{m}} A? sin ?? + 1.0 \sqrt{\frac{k}{m}} A? sin ?? - 1.0 \sqrt{\frac{k}{m}} A? sin ?? = 0 (E.6) The solution of Eqs. (E.1)-(E.6) is given by A? = 0.1076x??, A? = 0.5431x??, A? = 0.3493x??

          A? cos ?? + A? cos ?? + A? cos ?? = x??
(E.1)
1.8019A? cos ?? + 0.4450A? cos ?? - 1.2468A? cos ?? = 0
(E.2)
2.2470A? cos ?? - 0.8020A? cos ?? + 0.5544A? cos ?? = 0
(E.3)
-0.44504 \sqrt{\frac{k}{m}} A? sin ?? - 1.2471 \sqrt{\frac{k}{m}} A? sin ?? - 1.8025 \sqrt{\frac{k}{m}} A? sin ?? = 0
(E.4)
-0.80192 \sqrt{\frac{k}{m}} A? sin ?? - 0.55496 \sqrt{\frac{k}{m}} A? sin ?? + 2.2474 \sqrt{\frac{k}{m}} A? sin ?? = 0
(E.5)
-1.0 \sqrt{\frac{k}{m}} A? sin ?? + 1.0 \sqrt{\frac{k}{m}} A? sin ?? - 1.0 \sqrt{\frac{k}{m}} A? sin ?? = 0
(E.6)
The solution of Eqs. (E.1)-(E.6) is given by A? = 0.1076x??, A? = 0.5431x??, A? = 0.3493x??

A? cos ?? + A? cos ?? + A? cos ?? = x??
(E.1)
1.8019A? cos ?? + 0.4450A? cos ?? - 1.2468A? cos ?? = 0
(E.2)
2.2470A? cos ?? - 0.8020A? cos ?? + 0.5544A? cos ?? = 0
(E.3)
-0.44504 √((k)/(m)) A? sin ?? - 1.2471 √((k)/(m)) A? sin ?? - 1.8025 √((k)/(m)) A? sin ?? = 0
(E.4)
-0.80192 √((k)/(m)) A? sin ?? - 0.55496 √((k)/(m)) A? sin ?? + 2.2474 √((k)/(m)) A? sin ?? = 0
(E.5)
-1.0 √((k)/(m)) A? sin ?? + 1.0 √((k)/(m)) A? sin ?? - 1.0 √((k)/(m)) A? sin ?? = 0
(E.6)
The solution of Eqs. (E.1)-(E.6) is given by A? = 0.1076x??, A? = 0.5431x??, A? = 0.3493x??

Added by Eduardo M.

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