A mass-spring-system has the following parameters. Stiffness K = 800 N/m Mass M = 3 kg Damping Coefficient k = 20 Ns/m Calculate the time constant, critical damping coefficient and the damping ratio. Derive the equation for the force required when the piston is accelerating. Use the equation to evaluate the static deflection when F = 12 N. Use the equation to evaluate the force needed to make the mass accelerate at 4 m/s² at the moment when the velocity is 0.5 m/s.
