Chapter 9: Simple Harmonic Motion

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12 Terms

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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.

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phase

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

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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.

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angular velocity or angular frequency

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

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Cycle

One complete oscillation

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Cycle

Like a radian in that it is dimensionless

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Linear frequency

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

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Linear frequency

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Time Cycle

The inverse of the frequency

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Time Cycle

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

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General relationship among angular frequency, linear frequency, and period