Mechanical Oscillators
SHM, DHM, SHO, and DHO refer to simple harmonic motion, damped harmonic motion, simple harmonic oscillator and damped harmonic oscillator respectively.
Physical situation | Nomenclature | Translational equations | Angular equations |
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SHM |
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Solution: |
Solution: |
Unforced DHM |
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Solution (see below for ω'): Resonant frequency: Damping rate: Expected lifetime of excitation: |
Solution: Resonant frequency: Damping rate: Expected lifetime of excitation: |
Physical situation | Nomenclature | Equations |
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Linear undamped unforced SHO |
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Linear unforced DHO |
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Low amplitude angular SHO |
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Low amplitude simple pendulum |
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Approximate value Exact value can be shown to be: |
Physical situation | Nomenclature | Equations |
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SHM energy |
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Potential energy Maximum value at x = A: Kinetic energy Total energy |
DHM energy |
Read more about this topic: List Of Equations In Classical Mechanics
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—Ralph Waldo Emerson (18031882)