# MSHU Simple Harmonic Motion Unit

## INNOVATIVE SYSTEMS

This Simple Harmonic Motion Unit "MSHU" allows many experiments using several pendulums and devices.

See general description

## General Description

This Simple Harmonic Motion Unit "MSHU" allows many experiments using several pendulums and devices, such as different types of pendulums (simple, bifilar, trifilar and Kater’s pendulum) and springs.

Consists of a panel with a support that allows to hang different elements of study.

The study consists of letting freely swing different types of pendulums or a spring to check how different variables affect on their oscillation period. These variables to be studied are the mass hung from the pendulum or spring, and the oscillation length which can be easily modified with the tensors.

The Kater’s pendulum shows the relationship between simple harmonic motion and gravity, for prediction of gravity accurately.

The theory shows how to foretell the period of oscillation for a given pendulum or spring for comparison with actual results.

## Exercises and guided practices

### GUIDED PRACTICAL EXERCISES INCLUDED IN THE MANUAL

1. Simple harmonic motion of simple pendulum of different lengths and masses.
2. Simple harmonic motion of bifilar pendulum of different lengths and masses.
3. Simple harmonic motion of trifilar pendulum of different lengths and masses.
4. Simple harmonic motion of a spring with different masses, and a simple spring rate test.
5. Simple harmonic motion of the Kater’s pendulum.
6. Calculation of gravity using the Kater’s pendulum.

### MORE PRACTICAL EXERCISES TO BE DONE WITH THE UNIT

1. Theoretical determination of the period of a simple pendulum.
2. Theoretical determination of the period of a bifilar pendulum.
3. Theoretical determination of the period of a trifilar pendulum.
4. Determination of the center of mass in pendulums with unbalanced masses.
5. Determination of the mass center of a Kater’s pendulum with unbalanced masses.
6. Theoretical determination of the period of the Kater’s pendulum, using the parallel axes theorem (Steiner’s Theorem).