# 6.2.4 Period of Mass-Spring System

### Period of Mass-Spring System

• A mass and spring system is a type of simple harmonic oscillator
• The time period  of a mass-spring system is:

• Where:
• T = time period (s)
• m = mass (kg)
• k = spring constant (N m-1)
• This could be a horizontal or vertical mass-spring system

• The equation shows that the time period and frequency, of a mass-spring system, does not depend on the force of gravity
• Therefore, the oscillations would have the same time period on Earth and the Moon
• The higher the spring constant k, the stiffer the spring and the shorter the time period

#### Worked Example

Calculate the frequency of a mass of 2.0 kg attached to a spring of spring constant 0.9 N m–1 oscillating in simple harmonic motion.

#### Exam Tip

Another area of physics where you may have seen the spring constant k is from Hooke’s Law. Exam questions commonly merge these two topics together, so make sure you’re familiar with the Hooke’s Law equation too.

Close

# Join Save My Exams

## Download all our Revision Notes as PDFs

Try a Free Sample of our revision notes as a printable PDF.

Already a member?