Question

A body weighing 1 [kg] is attached to a spring hanging from the ceiling. The spring...

A body weighing 1 [kg] is attached to a spring hanging from the ceiling. The spring stiffness constant is k = 6k = 6 [N / m]. The medium surrounding the system offers resistance proportional to body speed with a damping constant: µ = 5μ = 5 [N.s / m]. The body's center of mass is initially at a distance of 1 [m] below the equilibrium point, then the body is released by printing an upward velocity of 44 [m / s]. What's the highest position at which the body's center of mass will arrive after being released ?

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