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What are Hooke's law and simple harmonic motion and how are they related?
Hooke's Law states that the force needed to extend or compress a spring by a certain distance is directly proportional to that distance. Simple harmonic motion describes the periodic motion of an object around an equilibrium position, where the force acting on the object is directly proportional to the displacement from the equilibrium position. Hooke's Law governs the restoring force in simple harmonic motion, making them closely related concepts in the study of oscillatory motion.
What is the difference between periodic motion and simple harmonic motion?
Periodic motion refers to any motion that repeats at regular intervals, while simple harmonic motion is a specific type of periodic motion where the restoring force is directly proportional to the displacement from equilibrium. In simple terms, all simple harmonic motion is periodic, but not all periodic motion is simple harmonic.
Why is a pendulum not considered simple harmonic motion?
A pendulum is not considered simple harmonic motion because its motion is affected by factors like air resistance and friction, which can cause deviations from the idealized simple harmonic motion pattern.
What remains constant in simple harmonic motion if friction is ignored?
In simple harmonic motion, the frequency remains constant if friction is ignored.
A source that is vibrating with simple harmonic motion produces a?
A source vibrating with simple harmonic motion produces a sinusoidal wave.
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.
Can every oscillatory motion be treated as simple harmonic motion in the limit of small amplitude?
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.
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 uniform circular motion a simple harmonic motion?
Simple Harmonic motion is circular motion. Look at a graph showing simple harmonic motion... you'll see it.
What are Hooke's law and simple harmonic motion and how are they related?
Hooke's Law states that the force needed to extend or compress a spring by a certain distance is directly proportional to that distance. Simple harmonic motion describes the periodic motion of an object around an equilibrium position, where the force acting on the object is directly proportional to the displacement from the equilibrium position. Hooke's Law governs the restoring force in simple harmonic motion, making them closely related concepts in the study of oscillatory motion.
What is the difference between periodic motion and simple harmonic motion?
Periodic motion refers to any motion that repeats at regular intervals, while simple harmonic motion is a specific type of periodic motion where the restoring force is directly proportional to the displacement from equilibrium. In simple terms, all simple harmonic motion is periodic, but not all periodic motion is simple harmonic.
Is oscillation of compound pendulum or simple pendulum is perfectly simple harmonic motion?
A simple pendulum exhibits simple harmonic motion
Does a pendulum undergo simple harmonic motion?
A simple pendulum undergoes simple harmonic motion only for small amplitudes because for small amplitudes the motion almost reduces to a straight line motion. Simple harmonic motion means motion on a straight not on curves
What is the motion of a pendulum?
Simple harmonic motion
Why is a pendulum not considered simple harmonic motion?
A pendulum is not considered simple harmonic motion because its motion is affected by factors like air resistance and friction, which can cause deviations from the idealized simple harmonic motion pattern.
How to calculate the period of a simple harmonic motion?
by using the formula we will calculat time period of simple harmonic motion
What is that motion which is periodic but not harmonic?
what is difference between simple harmonic motion and vibratory motion?
