Difference between revisions of "Simple harmonic motion"
Hunterbender (talk | contribs) (New page: Simple harmonic motion (SHM) is an mechanical example of periodic motion, a motion of an object that regularly repeat itself. If a force is directed toward the equilibrium position, that ...) |
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Simple harmonic motion can be mathematically represented by the following cosine (or sine, which would differ by a phase constant) function: | Simple harmonic motion can be mathematically represented by the following cosine (or sine, which would differ by a phase constant) function: | ||
| − | + | <math> | |
| − | x(t)= | + | x(t)&=A\cos(wt+\phi)\\ |
| − | + | </math> | |
| − | where A is the amplitude, w is the angular frequency, and phi is the phase constant | + | where <math>A</math> is the amplitude, <math>w</math> is the angular frequency, and <math>\phi</math> is the phase constant |
Latest revision as of 05:07, 23 February 2023
Simple harmonic motion (SHM) is an mechanical example of periodic motion, a motion of an object that regularly repeat itself. If a force is directed toward the equilibrium position, that motion is referred as harmonic motion. Generally, this force directed toward the eqilibrium position, the opposite of t he displacement vector, is often called a restoring force. The most common form of restoring force is the Hooke's Law. Percisely, a system demonstrates simple harmonic motion when an object's accerleration is porportional to its position and is oppositely directed to the displacement from equilibrium position.
Simple harmonic motion can be mathematically represented by the following cosine (or sine, which would differ by a phase constant) function:
$x(t)&=A\cos(wt+\phi)\$ (Error compiling LaTeX. Unknown error_msg)
where 
is the amplitude, 
is the angular frequency, and 
is the phase constant
