Go to content
Observe the motion along this line.
Please enable Java for an interactive construction (with Cinderella).

## Summary/Background

• the distance OP is called the amplitude
• the velocity is greatest at O
• the velocity is zero at P and P'
• the acceleration is zero at O
• the acceleration is greatest at the end points P and P'.
• this motion is called simple harmonic motion
• the equation \ddot{x} = -\omega^2 x described the motion Uses Cinderella interactive geometry

## Glossary

### acceleration

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

### amplitude

The maximum displacement from the x axis in either the positive or negative direction.

### equation

A statement that two mathematical expressions are equal.

### simple harmonic motion

the motion of a particle moving in a straight line whose acceleration is always towards a fixed point on the line and is proportional to its distance from that point

### velocity

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

Full Glossary List

## This question appears in the following syllabi:

SyllabusModuleSectionTopicExam Year
AQA A-Level (UK - Pre-2017)M5Further DynamicsSHM-
AQA A2 Further Maths 2017Pure MathsModelling with Differential EquationsSimple Harmonic Motion-
AQA AS/A2 Further Maths 2017Pure MathsModelling with Differential EquationsSimple Harmonic Motion-
CCEA A-Level (NI)M3Further DynamicsSHM-
Edexcel A-Level (UK - Pre-2017)M3Further DynamicsSHM-
Edexcel A2 Further Maths 2017Further Mechanics 2DynamicsSimple Harmonic Motion-
Edexcel AS/A2 Further Maths 2017Further Mechanics 2DynamicsSimple Harmonic Motion-
OCR A-Level (UK - Pre-2017)M3Further DynamicsSHM-
OCR A2 Further Maths 2017Pure CoreModelling with Differential EquationsSimple Harmonic Motion-
OCR MEI A2 Further Maths 2017Core Pure BModelling with Differential EquationsSimple Harmonic Motion-
OCR-MEI A-Level (UK - Pre-2017)M3Further DynamicsSHM-
Universal (all site questions)FFurther DynamicsSHM-
WJEC A-Level (Wales)M3Further DynamicsSHM-