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linuxpie
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What is the difference between Simple Harmonic Motion and Harmonic Motion ?
and How do we define the motion of a system is SHM ?
Thank you !
and How do we define the motion of a system is SHM ?
Thank you !
linuxpie said:What is the difference between Simple Harmonic Motion and Harmonic Motion ?
Complex harmonic motion occurs when a number of simple harmonic motions are combined.
Chords in music are an example of this phenomenon.
and How do we define the motion of a system is SHM ?
My understanding is that 'harmonic' is synonymous to periodic, and the 'simple' means that the displacement (from the origin) is a sinusodal function of time - i.e., a mathematically simple function. For example x(t)=Acos(wt+[tex]\phi[/tex]), where A,w and [tex]\phi[/tex] are constants. This is equivalent to the definition that tiny-tim gave above.linuxpie said:What is the difference between Simple Harmonic Motion and Harmonic Motion ?
and How do we define the motion of a system is SHM ?Thank you !
SHM stands for Simple Harmonic Motion. It is a type of periodic motion where the restoring force is directly proportional to the displacement from equilibrium. This results in a sinusoidal or oscillating motion.
HM stands for Harmonic Motion, which is a more general term used to describe any type of periodic motion that follows a regular pattern. It can include simple harmonic motion as well as more complex motions such as circular or elliptical motion.
The main difference between SHM and HM is that SHM specifically refers to a type of harmonic motion where the restoring force is directly proportional to the displacement. HM, on the other hand, can encompass a wider range of periodic motions.
SHM is a type of HM, but not all HM is SHM. This means that all SHM is harmonic motion, but not all harmonic motion is SHM. SHM is a specific case of harmonic motion that follows a unique pattern.
Examples of SHM include the motion of a swinging pendulum, the vibrations of a guitar string, and the motion of a mass on a spring. Examples of HM include the motion of the Earth around the Sun, the motion of a satellite in orbit, and the motion of a Ferris wheel.