At least one of the answers above is NOT correct 2 of the questions remain unans

Question

At least one of the answers above is NOT correct 2 of the questions remain unanswered. (1 point) A mass weighing 2 lb stretches a spring 6 in. Suppose the mass is displaced an additional 4 in in the positive (downward) direction and then released with an initial upward velocity of 2 ft/s. The mass is in a medium, that exerts a viscuouse resistance of 1 lb when the mass has a velocity of 5 fts. Assumes = 32 ft/s is the gravitational acceleration. (a) Find the mass m (in lb. s2/ft. M = 2/32 RE | (b) Find the damping coefficient c (in lbsft. C F 1/5 (c) Find the spring contant k (in lb/ft. k = 2/0.5 (d) 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 your answer in terms of x, x', x". ER | (e) Enter the initial conditions: x(0) = I left, x'(0) = :: fts () Is this system under damped, over damped, or critically damped? under damped

Explanation / Answer

Differential equation :

m(d2x/dt2) + c (dx/dt) + kx = 0

Or

MX'' + cx' + kx = 0

With Euler's initial conditions :

x(0)= 4 in = 0.33 ft

x'(0)= 2 ft/s

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