A mass m moves along the x-axis subject to an attractive force given by 19mx/2 and a retarding force given by, where x is its distance from the origin and is a constant. A driving force given by, where A is a constant, is applied to the particle along the x-axis. Write down the equation of motion. What value of results in steady- state oscillations about the origin with maximum amplitude? What is the maximum amplitude? what is the Q value?

A mass m moves along the x-axis subject to an attractive force given by 19mx/2 and a retarding force given by, where x is its distance from the origin and is a constant. A driving force given by, where A is a constant, is applied to the particle along the x-axis. Write down the equation of motion. What value of results in steady- state oscillations about the origin with maximum amplitude? What is the maximum amplitude? what is the Q value?