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:

1. The spring does not gain or lose energy. There is no friction or inelastic deformation.

2. The object is small enough to be considered a material point.

3. The spring is weightless.

Links:

1. 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:

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