(1) Find time averaged steady state power input for a driven oscillator with friction coefficient I and driving force as
Posted: Tue Jul 12, 2022 1:40 pm
- 1 Find Time Averaged Steady State Power Input For A Driven Oscillator With Friction Coefficient I And Driving Force As 1 (117.84 KiB) Viewed 33 times
(1) Find time averaged steady state power input for a driven oscillator with friction coefficient I and driving force as F cos. Find the time averaged power loss due to friction and verify that it is equal to the input power calculated before. (2) Show that if x₁ (t) is a solution of forced harmonic oscillator (Mä(t) = − Mw²x(t) — MTx(t) + F(t)), for a driving force F₁ (t), and if x₂(t) is a solution for a different driving force F₂(t), then the force F(t) = F₁(t) + F2(t) gives the solution x(t) = x₁(t) + x2(t), provided that the initial conditions x(0) and (0) for the superposition are also the corresponding sums of the initial conditions, i.e., provided x(0) = x1(0) + x2 (0) and (0) = x1(0) +*₂(0).