Question

In a SHO we know that V will become a maximum in the equilibrium position with V= Aω. Does the same apply to a damped oscillation with the damping force being F=-bu or is the position somewhere else? T

Answer 1

In a damped oscillation with the damping force being F=-bu, the maximum displacement does not occur at the equilibrium position like in a simple harmonic oscillator (SHO). The position of maximum displacement depends on the damping coefficient b.

Step-by-step explanation:

In a damped oscillation with the damping force being F=-bu, the maximum displacement does not occur at the equilibrium position like in a simple harmonic oscillator (SHO).

In a damped oscillation, the maximum displacement will occur before the equilibrium position, and the displacement will gradually decrease over time until it reaches the equilibrium position. The position of maximum displacement depends on the damping coefficient b.