This latter solution corresponds to the underdamped case, whereas the former one corresponds to the overdamped case : the solutions for the underdamped case oscillate whereas the solutions for the overdamped case do not.
12.
This latter solution corresponds to the underdamped case, whereas the former one corresponds to the overdamped case : the solutions for the underdamped case oscillate whereas the solutions for the overdamped case do not.
13.
The method of logarithmic decrement becomes less and less precise as the damping ratio increases past about 0.5; it does not apply at all for a damping ratio greater than 1.0 because the system is overdamped.
14.
Sudden unexpected movements such as tripping or being pushed over requires fast precise movements to recover and prevent falling over, but a slow assist mechanism may simply collapse and injure the user inside . ( This is known as an " overdamped servo " .)
15.
Values of \ zeta have been reported to be between 3.6 and 6.7 while values of \ omega _ n have been reported to be between 0.75 and 1.9 . Thus, the system is overdamped with distinct, real roots.
16.
Why do damped oscillations in real life come to a halt when basic damped oscillations studied in physics / differential equations ( such as overdamped, underdamped, and critically damped cases arising from second order linear differential equations with constant coefficients ) model oscillations that go on forever, even if with decreasing amplitude ? Trevor K . 20 : 27, 6 October 2011 ( UTC ) Preceding contribs)
