This model applies to a single point particle constrained to move in one dimension whose position is a sinusoidal function of time. Simple harmonic motion is sometimes abbreviated SHM.

Any object that experiences a linear restoring force or torque so that the equation of motion takes the form

or

will experience simple harmonic motion with angular frequency ω. The prototypical example is an object of mass m attached to a spring with force constant k, in which case, by [Hooke's Law]:

giving simple harmonic motion with angular frequency

.

• 1-D Motion (Constant Velocity)
• 1-D Motion (Constant Acceleration)

• restoring force
• periodic motion
• angular frequency
• phase

A single point particle (or, for the angular version of SHM, a single rigid body).

The system must be subject to a one-dimensional restoring force (or torque) that varies linearly with the displacement (or angular displacement) from an equilibrium position.

• Acceleration versus time graph.
• Velocity versus time graph.
• Position versus time graph.