A weight with mass 2 kg is attached to a spring with damping constant c =...

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A weight with mass 2 kg is attached to a spring with damping constant c = 8 N-sec/m and subjected to an external force F(t) = 10 cos(9) (a)Write an equation or inequality which describes the value(s) of the spring constant k that will make the motion of the object critically damped. kg/s? (b)Write an equation or inequality which describes the value(s) of the spring constant k that will make the motion of the object overdamped. kg/s (c)White an equetion or inequality which describes the value(s) of the spring constant k that will make the motion of the object underdamped. kg/s? Write your answers in the form k < a, k= a, or k>a. A weight with mass 2 kg is attached to a spring with damping constant c = 8 N-sec/m and subjected to an external force F(t) = 10 cos(9) (a)Write an equation or inequality which describes the value(s) of the spring constant k that will make the motion of the object critically damped. kg/s? (b)Write an equation or inequality which describes the value(s) of the spring constant k that will make the motion of the object overdamped. kg/s (c)White an equetion or inequality which describes the value(s) of the spring constant k that will make the motion of the object underdamped. kg/s? Write your answers in the form k < a, k= a, or k>a.