Unformatted text preview: ) ( ; 1 ) ( = = dt dx x Use the ode45 function to find and plot x ( t ). How long does it take for the spring’s motion to damp out such that the amplitude x never again rises above one percent of its initial value? (3) The motion of the linear, undamped, compound spring system shown below is described by the pair of simultaneous second order equations: ) ( ), ( 2 1 2 2 2 2 2 2 1 2 1 1 2 1 2 1 y y k dt y d m y y k y k dt y d m − = − − − = where y 1 and y 2 are the displacements of the two masses from their equilibrium positions. Given m 1 = 1, m 2 = 2, k 1 = 3 and k 2 = 2, and the initial conditions: ) ( 2 ) ( ) ( 1 ) ( ' 2 2 ' 1 1 = = = = y y y y use ode45 to find and plot y 1 vs t and y 2 vs t and also to plot y 1 vs y 2 . k 1 m 2 m 1 k 2 y 1 y 2...
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 Spring '08
 Witt
 Constant of integration, k1 y1, step size Matlab

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