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Please need an answer asap A spring with an m-kg mass and a damping constant 3 (kg/s) can be held stretched 1.5 meters beyond its

Please need an answer asap

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A spring with an m-kg mass and a damping constant 3 (kg/s) can be held stretched 1.5 meters beyond its natural length by a force of 4.5 newtons. If the spring is stretched 3 meters beyond its natural length and then released with zero velocity, find the mass that would produce critical damping. m = kg A mass weighing 8 1b . ft/s' stretches a spring 30 in. Suppose the mass is displaced an additional 4 in in the positive (downward) direction and then released with an initial upward velocity of 3 ft/s. The mass is in a medium, that exerts a viscuouse resistance of 5 lb when the mass has a velocity of 2 ft/s. Assume g = 32 ft/s is the gravitational acceleration. (a) Find the mass m ( in 1b). m = (b) Find the damping coefficient c (in lb . s/ft). (c) Find the spring contant k (in lb/ft). k = (d) Set up a differential equation that describes this system. Let a to denote the displacement, in feet, of the mass from its equilibrium position, and give your answer in terms of I, I', I". (e) Enter the initial conditions: (0) =ft, I'(0) = ft/s (f) Is this system under damped, over damped, or critically damped? ? A mass of 3kg stretches a spring 20cm. Suppose the mass is displaced an additional 6cm in the positive (downward) direction and then released. Suppose that the damping constant is 3 N . s/m and assume g - 9.8 m/s' is the gravitational acceleration. (a) Set up a differential equation that describes this system. Let a to denote the displacement, in meters, of the mass from its equilibrium position, and give your answer in terms of x, x', x". (b) Enter the initial conditions: x(0) = m, a' (0) = m/s (c) Is this system under damped, over damped, or critically damped

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