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 |
---|---|---|---|
SHM |
|
Solution: |
Solution: |
Unforced DHM |
|
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 |
---|---|---|
Linear undamped unforced SHO |
|
|
Linear unforced DHO |
|
|
Low amplitude angular SHO |
|
|
Low amplitude simple pendulum |
|
Approximate value Exact value can be shown to be: |
Physical situation | Nomenclature | Equations |
---|---|---|
SHM energy |
|
Potential energy Maximum value at x = A: Kinetic energy Total energy |
DHM energy |
Read more about this topic: List Of Equations In Classical Mechanics
Famous quotes containing the word mechanical:
“We are caught up Mr. Perry on a great wave whether we will or no, a great wave of expansion and progress. All these mechanical inventionstelephones, electricity, steel bridges, horseless vehiclesthey are all leading somewhere. Its up to us to be on the inside in the forefront of progress.”
—John Dos Passos (18961970)