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(5 points A spring is suspended vertically from a fixed support. The sp ng has spring constant k 35 N m 1 An object of mass m

(c) Give the value of which would result in critical damping. β Give your answer as an exact value or as a decimal to at leas

(5 points A spring is suspended vertically from a fixed support. The sp ng has spring constant k 35 N m 1 An object of mass m 큼 kg is attached to the bottom of the spring The subject is subiect to damping with damping constant β N m 1 s Let t be the displacement in metres at the end of the s nng below its equilibrium position, at time t seconds. (a) Give a value of which would result in underdamping β- Give your answer as an exact value or as a decimal to at least 3 decimal places (b) Which of the following plots of y vs. t shows underdamped motion?
(c) Give the value of which would result in critical damping. β Give your answer as an exact value or as a decimal to at least 3 decimal places (d) Suppose that an external force of F(t) Newton directed downwards is applied to the spnng, with β-0, tor which function(s) F from the list below would resonance occur? Select one or more of the A. 2 sin(V7t) B. e sin V7t) c. cos(V7t) D. 6 cos(V7t) et E. e sin(5/7t) F. sin(5 7t) G. 3 cos(-5v7t) (e) Which of the following plots of y vs. t show resonance?
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