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Section 3.7 Free Mechanical Vibrations: Problem 6 Previous Problem Problem List Next Problem (1 point) A mass of4kg stretches a spring 60m. Suppose the mass is displaced an additional 110111 in the positive (downward) direction and then released. Suppose that the damping constant is 3 N -sh:n and assume 3 = 9.8 111st is the gravitational acceleration. (a) Set up a differential equation that describes this system. Let x to denote the displacement, in meters, of the mass from its equilibrium position, and give you' answer in terms of x, x ', x \". C] (b) Enteriha initial conditions: x[0) =[ ]m, 13(0) =E] ny's (c) Is this system under damped, over damped, or critically damped? '9 1b