(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 = attached to the bottom of the spring. The subject is subject to damping with damping constant ẞN m¹ 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 ẞ which would result in underdamping. ẞ= Give your answer as an exact value or as a decimal to at least 3 decimal places. kg is (b) Which of the following plots of y vs. t shows underdamped motion? M from (c) Give the value of 8 which would result in critical damping. 8- 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 spring. With ẞ-0, for which function(s) F from the list below would resonance occur? Select one or more of the following: A. sin(4√/6t) B. esin(√√6t) C. 6 cos(6t) +e* D. e* sin(4√/6t) E. cos(√6) F. 6 sin(√6t) G. 4 cos(-41/6t) (e) Which of the following plots of y vs. f. show resonance? Oy оту им