Question

A spring is suspended vertically from a fixed support. The spring has spring constant k=24 N m −1 k=24 N m−1 . An object of mass m= 1 4 kg m=14 kg is attached to the bottom of the spring. The subject is subject to damping with damping constant β N m −1 s β 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 t t seconds.

(5 points) A spring is suspended vertically from a fixed support. The spring has spring constant k 24 N m 1 . An object of mass m-4 kg is attached to the bottom of the spring. The subject is subject to damping with damping constant B N m s. Let y(t) be the displacement in metres at the end of the spring below its equilibrium position, at time t seconds (c) Give the value of B which would result in critical damping. B Give your answer as an exact value or as a decimal to at least 3 decimal places. (d) Suppose that an external force of Fe Newton directed downwards is applied to the spring. With below would resonance occur? Select one or more of the following: -0, for which function(s) from the list C. 6 cos(V6t) e-t D.e sin(4v6t) E. cos(V6t) F. 6 sin(V6t) G. 4 cos(-4/6t)

Answer 1

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