Question 2

A car suspension system consisting of a spring and viscous damper carries a mass of 250kg.

The damping coefficient, c, of the damper is 100Ns/m and the spring stiffness, k, is 640 N/m.

The road surface subjects the system to a sinusoidal force of 10N at an angular frequency of 2

rad/s.

a. Form a differential equation that represents the system.

(5 marks)