Chapter 9: Simple Harmonic Motion

Simple harmonic motion (SHM)

Any oscillation that is governed by a linear restoring force or restoring torque such that the displacement from equilibrium can be described using sine and/ or cosine functions.

phase

The argument of the sine or cosine function, ωt + φ, is called the \________ .

phase shift angle

φ or ϕ , the \______________ — Determines the horizontal shifting of the cosine or sine curve and thus influences the initial position and velocity.

angular velocity or angular frequency

ω , the \_____________ — The time derivative of the phase, with units radians/second

Cycle

One complete oscillation

Cycle

Like a radian in that it is dimensionless

Linear frequency

Number of cycles per second.It is related to angular frequency

Linear frequency

Time Cycle

The inverse of the frequency

Time Cycle

One period of oscillation corresponds to the time required to change the phase angle, ωt + f, by 2π :

General relationship among angular frequency, linear frequency, and period