midtermformulasheet

Midtermformulasheet

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Unformatted text preview: Formula Sheet RI Q C L dI dt dQ =I dt d M y - N x = d dx N d N x - M y = d dy M y1 y 1 : (n - 1) y 1 y2 y 2 : (n y 2 - 1) u 0 1 ... u2 : n = : : : 0 (n - 1) ... y n un f (x) ... yn y Ax = b xk = Ak A for all k y = c1e k x + c2e k x 1 2 b2 - 4ac > 0 y = c1e kx + c2 xe kx y = c1e x cos(x) + c2e x sin( x) b2 - 4ac = 0 b2 - 4ac < 0 Embedded End Free End Simplysupported End y = y' = 0 y'' = y''' = 0 y = y'' = 0 EIy(4) = w(x) mx'' + kx = 0 W = mg 2 2 g = 9.80 m/s = 32 ft/s mg = ks at equilibrium...
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