OscillationsSHM
1
Simple harmonic motion defined
Simple harmonic motion is the motion of any system in which the position of an object can be put in the form ...
cos( )x A t
The velocity of such an object is given by …
sin( )xv A t
Its acceleration is …
2 cos( )xa A t x2
OscillationsSHM
2
x
Other definitions
)cos( tAx
tA
2
A is the amplitude of the motion. is the angular frequency of the motion. is the phase of the motion.
A graph of x versus t is very instructive.
OscillationsSHM
3
Other definitions
)cos( tAx
The period tells us the amount of time it takes for the object to come back to the same position. It is given by …
Frequency tells us how many times the object passes a certain position in one second. It is given by …
2
f
21
f
T
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