A spring with an 772kg mass and a damping constant 5 kgs can
A spring with an 772-kg mass and a damping constant 5 (kg/s) can be held stretched 1 meters beyond its natural length by a force of 2 newtons. If the spring is stretched 2 meters beyond its natural length and then released with zero velocity, find the mass that would produce critical damping.
Solution
Force = spring constant * distance
Spring constant k = force / distance = 2 Newton per metre
Critically damping constant = 2 sqrt (k*m)
5 = 2 sqrt ( 2m)
2m = 25/4
m = 25/8 kg
