Solve

Dimensionless quantities generally represent the relative importance of various effects in the system. The above dimensionless quantity represents the relative importance of damping forces to inertial and spring forces.The damped driven harmonic oscillator is generally classified into the "overdamped" and "underdamped" cases, based on the relative importance of the damping term. The homogeneous equation d*y dy M 4+r4+Ky=0 do ' dt is classified as overdamped if the characteristic polynomial has two distinct real roots, and underdamped if the characteristic polynomial has two complex roots. The equation above is overdamped if 7 is greater than a certain quantity involving AK and M. Find this condition. Overdamped if r symbolic expression oe