Ex.#2 Mechanical system K x(t)-applied force K -spring constant D -damping constant y(t)-displacement from rest y(t) Force Balance (t) 2 dt may(t)+d dt +Ky(t)=a(t) Observation: Very different physical systems may be modeled mathematically in very similar waysForce Balance: Observation: Very different physical systems may be modeled mathematically in very similar ways. Ex. #2 Mechanical system