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Unformatted text preview: F ( t ) = 2 sin 3t lb. (Given that g = 32ft/sec 2 .) Let u ( t ) denote the displacement of the mass from its equilibrium position at time t , measured positive downward. Find a differential equation for u . 2. (5 points) Consider the spring-mass system whose motion is governed by y 00 + 2y + y = 0. Determine all values of the positive constant for which the system is (a) under-damped, (b) critically damped, and (c) over-damped....
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- Spring '10