- #1

sskakam

- 15

- 0

## Homework Statement

A spring-mass system has a spring constant of 3 N/m. A mass of 2 kg is attached to the spring, and the motion takes place in a viscous fluid that offers a resistance numerically equal to the magnitude of the instantaneous velocity. If the system is driven by an externam force of 3 cos(3t) - 2 sin(3t) N, determine the steady-state response.

## Homework Equations

From the problem:

m = 2, k = 3, gamma = y' ?

2y" + y'[tex]^{2}[/tex] + 3y = 3 cos(3t) - 2 sin(3t), or in terms of delta and omega_0

y" + 2 (y'/4) y' + 3/2 y = 3/2 cos(3t) - sin(3t)

## The Attempt at a Solution

Don't know where to go from there. I need to find A, omega and gamma, but I don't know how.