This applet shows a pendulum suspended on a 'rigid string'. One can drag the pendulum to it's starting position. Once in motion, the pendulum can be 'caught' by clicking and holding the mass when it has reached it's maximum angle. Thus, the pendulum can be brought to it's new starting position. The experimental period is shown in the panel above the pendulum itself and is obtained by multiplying the time needed to make half an oscillation by two. The theoretical period, on the other hand, is obtained by a formula which is valid only for small angles., i.e,

{{\qquad \qquad T = 2 \pi \sqrt{\displaystyle \frac{L}{g} } }}

where {{T}} is the period of the oscillations, {{L}} is the length of the string and {{g}} is the acceleration due to gravity.

{{\qquad \qquad T = 2 \pi \sqrt{\displaystyle \frac{L}{g} } }}

where {{T}} is the period of the oscillations, {{L}} is the length of the string and {{g}} is the acceleration due to gravity.

## Software/Applets used on this page

## Glossary

### acceleration

the rate of change of velocity with time. It is a vector quantity with magnitude and direction.

### gravity

the force that the Earth exerts on all objects. It acts towards the centre of the Earth.

If the mass of the object is m kg then this force is defined to be mg Newtons, where g is the acceleration due to gravity.

If the mass of the object is m kg then this force is defined to be mg Newtons, where g is the acceleration due to gravity.

### mass

a measure of the quantity of matter in an object

### pendulum

a body that oscillates about a fixed axis under gravity

### period

the horizontal length of one complete cycle

## This question appears in the following syllabi:

Syllabus | Module | Section | Topic | Exam Year |
---|---|---|---|---|

AQA A-Level (UK - Pre-2017) | M5 | Further Dynamics | SHM | - |

AQA A2 Further Maths 2017 | Pure Maths | Modelling with Differential Equations | Simple Harmonic Motion | - |

AQA AS/A2 Further Maths 2017 | Pure Maths | Modelling with Differential Equations | Simple Harmonic Motion | - |

CCEA A-Level (NI) | M3 | Further Dynamics | SHM | - |

Edexcel A-Level (UK - Pre-2017) | M3 | Further Dynamics | SHM | - |

Edexcel A2 Further Maths 2017 | Further Mechanics 2 | Dynamics | Simple Harmonic Motion | - |

Edexcel AS/A2 Further Maths 2017 | Further Mechanics 2 | Dynamics | Simple Harmonic Motion | - |

OCR A-Level (UK - Pre-2017) | M3 | Further Dynamics | SHM | - |

OCR A2 Further Maths 2017 | Pure Core | Modelling with Differential Equations | Simple Harmonic Motion | - |

OCR MEI A2 Further Maths 2017 | Core Pure B | Modelling with Differential Equations | Simple Harmonic Motion | - |

OCR-MEI A-Level (UK - Pre-2017) | M3 | Further Dynamics | SHM | - |

Universal (all site questions) | F | Further Dynamics | SHM | - |

WJEC A-Level (Wales) | M3 | Further Dynamics | SHM | - |