Period of spring from mass¶

Mass on spring is a system of object with mass \(m\) and spring with stiffness \(k\). It starts oscillating after being pushed out of balance.

Conditions:

The spring does not gain or lose energy. There is no friction or inelastic deformation.
The object is small enough to be considered a material point.
The spring is weightless.

Links:

Wikipedia, second formula.

period¶

The period of spring oscillations.

Symbol:: T
Latex:: \(T\)
Dimension:: time

mass¶

The mass of the object attached to the spring.

Symbol:: m
Latex:: \(m\)
Dimension:: mass

stiffness¶

Spring’s stiffness, or spring constant.

Symbol:: k
Latex:: \(k\)
Dimension:: force/length

law¶

T = 2 * pi * sqrt(m / k)

Latex:: \[T = 2 \pi \sqrt{\frac{m}{k}}\]