Question

A spring is suspended vertically from a fixed support. the spring has spring constant k = 8nm^-1

(5 points) A spring is suspended vertically from a fixed support. The spring has spring constant k 8N m-1. An object of mass m kg is attached to the bottom of the spring. The subject is subject to damping with damping constant β N m-1 s. Let y(t) be the displacement in metres at the end of the spring below its equilibrium position, at time t seconds. (a) Give a value of B which would result in underdamping. β = 2 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 β 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 t Newton directed downwards is applied to the spring. With β-0, for which function(s) F from the list below would resonance occur? Select one or more of the following A. 6 cos(-4/2t) B. e sin(4/2t) C. sin(4v2t D. esin V2t) E. 3 cos(v2t) +e t F. cos(V2t) G.6 sin V2) (e) Which of the following plots of y vs. t show resonance?

Answer 1

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