Problem

The frequency of a mass on a spring is 0.5 Hz. Determine the displacement of the spring prior to oscillation.

Mass-spring-system.png

Solution

The period of a mass-spring system is

The diagram above is a free-body diagram at the moment of release. Treating upwards as the positive direction:

.

Thus

.

Solving for yields

.

Therefore,

.
Community content is available under CC-BY-SA unless otherwise noted.