Consider the pulley system shown in Figure $3.$ The mass of each pulley

is small compared with the mass $m$ and, therefore, can be ignored. Furthermore, the chord

holding the mass is inextensible and has negligible mass. Determine the following:

i$)$ the equivalent mass

ii$)$ the equivalent stiffness

iii$)$ the equivalent damping

iv$)$ the value of the damping coefficient $c$ for which the system is critically

damped.