Question

5 points) A spring is suspended vertically from a fixed support. The spring has spring constant k=28 N m−1k=28 N m−1. An object of mass m=14 kgm=14 kg is attached to the bottom of the spring. The subject is subject to damping with damping constant β N m−1 sβ N m−1 s. Let y(t)y(t) be the displacement in metres at the end of the spring below its equilibrium position, at time tt seconds.

(5 poins) A spring is suspended vertically from a fxed support The spring has spring constant k 28 N m displacement in metres at the end of the spring below its equilibrium position, at time t seconds. An object of mass m kg is atached to the bottom of the spring. The subject is subject to damping with damping constant B N m s Let t) be the β which would result in underdamping. β- (a) GNe a value Give your answer as an exacr value or as a decimal to at least 3 decimai places (b) Which ot the tolowing plots of y vs.t shows underdamped motion? (c) GNe the value of β which would result n critical damping. β- Give your answer as an exacr value or as a decimal to at least 3 decimai places (d) Suppose that an extenal force of F(t) Newton directed downwards is applied to the spring. With B-0 Tor which function(s) P trom the list below would resonance occur? Select one or more of the following A.e sin(4V7t) B. cos(7t) C. sin(4V7t) D. 4 sinV7t) E. 3 cos(V7t) et F. 5 cos(-4 7t) G.esin(V7t) (e) Which of the tollowing plots of y vs. t show resonance?

Answer 1

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