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Can every oscillatory motion be treated as simple harmonic motion in the limit of small amplitude?
Wiki User
∙ 10y ago
No. Simple harmonic motion requires that the acceleration is proportional to the displacement (and in the opposite direction). It is possible to have periodic motion where that is not the case.
Wiki User
∙ 10y ago
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What is difference between oscillatory and simple harmonic motion?
Simple harmonic motion (SHM) is in one dimension whereas oscillatory motion is 2-dimensional motion that is SHM in one dimension but linear in another.Simple harmonic motion (SHM) is in one dimension whereas oscillatory motion is 2-dimensional motion that is SHM in one dimension but linear in another.Simple harmonic motion (SHM) is in one dimension whereas oscillatory motion is 2-dimensional motion that is SHM in one dimension but linear in another.Simple harmonic motion (SHM) is in one dimension whereas oscillatory motion is 2-dimensional motion that is SHM in one dimension but linear in another.
What is meant by amplitude in simple harmonic motion?
Any simple harmonic motion is of the form x(t) = A cos(w t + a). Here the constant A with dimension [x] is called the amplitude.
What is the process of harmonic motion losing amplitude over time?
Destructive Interference
What is the total distance traveled by a body executing simple harmonic motion in a time equal to its period if its amplitude is A?
A body in simple harmonic motion with amplitude A will move a total distance fo 2A in a time equal to one period.
What is the difference between noise and simple harmonic motion?
Simple harmonic motion is motion which is fully determined by its period, amplitude and phase. Noise is the name given to motion where the period is indeterminate. This may be because there is no periodicity or because the motion is a superposition of such a large number of simple harmonic motions of different periodicities that the resultant is almost aperiodic.Simple harmonic motion is motion which is fully determined by its period, amplitude and phase. Noise is the name given to motion where the period is indeterminate. This may be because there is no periodicity or because the motion is a superposition of such a large number of simple harmonic motions of different periodicities that the resultant is almost aperiodic.Simple harmonic motion is motion which is fully determined by its period, amplitude and phase. Noise is the name given to motion where the period is indeterminate. This may be because there is no periodicity or because the motion is a superposition of such a large number of simple harmonic motions of different periodicities that the resultant is almost aperiodic.Simple harmonic motion is motion which is fully determined by its period, amplitude and phase. Noise is the name given to motion where the period is indeterminate. This may be because there is no periodicity or because the motion is a superposition of such a large number of simple harmonic motions of different periodicities that the resultant is almost aperiodic.
Can a motion be oscillatory but not simple harmonic?
Yes.
Differences between vibratory and oscillatory motion?
In vibratory motion, the body doesn't move as a whole.where as in oscillatory motion the body moves on whole .and in vibratory motion the amplitude is less ,where as in the oscillatory motion the amplitude is comparitively larger than the vibratory motion .
What is difference between oscillatory and simple harmonic motion?
Simple harmonic motion (SHM) is in one dimension whereas oscillatory motion is 2-dimensional motion that is SHM in one dimension but linear in another.Simple harmonic motion (SHM) is in one dimension whereas oscillatory motion is 2-dimensional motion that is SHM in one dimension but linear in another.Simple harmonic motion (SHM) is in one dimension whereas oscillatory motion is 2-dimensional motion that is SHM in one dimension but linear in another.Simple harmonic motion (SHM) is in one dimension whereas oscillatory motion is 2-dimensional motion that is SHM in one dimension but linear in another.
What is meant by amplitude in simple harmonic motion?
Any simple harmonic motion is of the form x(t) = A cos(w t + a). Here the constant A with dimension [x] is called the amplitude.
What is the process of harmonic motion losing amplitude over time?
Destructive Interference
What is the total distance traveled by a body executing simple harmonic motion in a time equal to its period if its amplitude is A?
A body in simple harmonic motion with amplitude A will move a total distance fo 2A in a time equal to one period.
What is the difference between noise and simple harmonic motion?
Simple harmonic motion is motion which is fully determined by its period, amplitude and phase. Noise is the name given to motion where the period is indeterminate. This may be because there is no periodicity or because the motion is a superposition of such a large number of simple harmonic motions of different periodicities that the resultant is almost aperiodic.Simple harmonic motion is motion which is fully determined by its period, amplitude and phase. Noise is the name given to motion where the period is indeterminate. This may be because there is no periodicity or because the motion is a superposition of such a large number of simple harmonic motions of different periodicities that the resultant is almost aperiodic.Simple harmonic motion is motion which is fully determined by its period, amplitude and phase. Noise is the name given to motion where the period is indeterminate. This may be because there is no periodicity or because the motion is a superposition of such a large number of simple harmonic motions of different periodicities that the resultant is almost aperiodic.Simple harmonic motion is motion which is fully determined by its period, amplitude and phase. Noise is the name given to motion where the period is indeterminate. This may be because there is no periodicity or because the motion is a superposition of such a large number of simple harmonic motions of different periodicities that the resultant is almost aperiodic.
The maximum distance an object in simple harmonic motion moves from equilibrium is called the?
amplitude
What will happen When the amplitude of a body undergoing simple harmonic motion is doubled?
it'll get louder
What is the difference between simple harmonic motion and periodic motion?
A periodic motion is any motion that repeats itself with a fixed period. It can be anything from the motion of a comet around the sun to stamping your foot on the floor. It just has to happen repeatedly and the same motion at the same time intervals. Simple harmonic motion is a very special motion. In the purest form, one only uses this term when the motion can be described a varying sinusoidally, i.e. like a sine or cosine function. The motion then has one frequency and one period. The oscillation of spring with a weight is a good real world approximation to this idealized idea of simple harmonic motion. Staying with the strict terminology one will sometimes allow for harmonic overtones in a motion and use the term, "harmonic motion." In other words, like a guitar string, when plucked it has a basic frequency but may also include multiples of that frequency. Still, it has a fixed period. Usually the language is more relaxed and if something is simple harmonic motion it is sometimes merely called harmonic motion. Conversely, though it is not entirely correct, you will hear it said that a guitar string give a pure tone and exhibits simple harmonic motion when that is not strictly true. So, there is a hierarchy of terminology. If you say something is oscillating, or is oscillatory, you are saying something weak, that it repeats itself on a more or less regular basis. Even things like glacier formation can be said to be oscillatory. If the process is periodic, then you can count on it repeating itself on a precise and regular basis and the time for that repetition is the period. Comets were an earlier example, but the motion of a pendulum is periodic and rotation of the wheel on a car at a constant speed is periodic. All periodic motion is also oscillatory in the sense of repeating in time. (One does not normally call circular motion oscillatory only because it is such a highly specialized form of periodic motion, but technically it is periodic.) Harmonic motion means that the time evolution process is described well by a sinusoidal variation. If it is harmonic, then it is also periodic and oscillatory. It is not common to be so precise as to whether only one frequency of sine wave is needed for harmonic motion or perhaps several multiples of the basic frequency. If it is several, it is harmonic and period and oscillatory but it is not simple harmonic. There is a grey area as to whether one should call some motions harmonic with several frequencies or merely periodic. If it takes more than a few frequencies, then it is usually complicated enough to lose the characterization of harmonic, but it is still periodic. Simple harmonic motion is a pure thing and hence an idealization. A pure pitch of sound may be said to be a simple harmonic motion of the air waves. A pure color of light results from a perfect sinusoidal (and hence simple harmonic) variation of electromagnetic fields. A bouncing weight attached to an ideal spring moves in simple harmonic motion. If it is not a simple sine or cosine description, then it is not simple harmonic. If it is simple harmonic, then it is harmonic and if harmonic, periodic and if periodic, oscillatory. Recognize that careful scientific use of these terms is different than casual use in the general language.
Is motion of swing an example of simple harmonic motion?
A body undergoes simple harmonic motion if the acceleration of the particle is proportional to the displacement of the particle from the mean position and the acceleration is always directed towards that mean. Provided the amplitude is small, a swing is an example of simple harmonic motion.
If the amplitude of a system moving in simple harmonic motion is doubled which quantity associated with it does not change?
period
