B)

A machine of mass 20kg is mounted on four springs, one at each corner, and can be

regarded as a single degree of freedom system. Each of the springs deflects 0.1mm when

a force of 2.5N is applied to it.

What is the effective stiffness, ke?

Find the undamped natural frequency of the system

Find the periodic time of the vibration.

i)

ii)

iii)

iv)

v)

If the designer wishes to reduce the natural frequency of vibration, which

design parameters would they manipulate?

Write down the equation of motion for the system