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More differences between simple harmonic motion and periodic motion with practical examples?
Wiki User
β 9y ago
because we see that in simple harmonic motion there are trignometric function from which we can define its equation of motion. now we know that these function are periodically but bounded to some conditions that's why all periodic function can not be simple harmonic motions.
Wiki User
β 11y ago
Simple harmonic motion is a type of periodic motion where the restoring force is directly proportional to the displacement from equilibrium. Practical examples include a swinging pendulum or a mass-spring system. Periodic motion, on the other hand, refers to any repeated motion that follows the same path at regular intervals, such as the motion of a wheel rotating. So, while all simple harmonic motion is periodic, not all periodic motion is necessarily simple harmonic.
Wiki User
β 9y agoSimple harmonic motion is understood from an oscillating pendulum. It is also periodic. An example of periodic motion without simple harmonic motion is the rotation of the blades of a fan.
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What is that motion which is periodic but not harmonic?
The motion of a pendulum is periodic but not necessarily harmonic if the amplitude of the oscillation is large enough to cause deviations from simple harmonic motion due to gravitational forces.
What is harmonic perturbation?
Harmonic perturbation refers to a periodic external force or disturbance applied to a system that is close to its natural harmonic frequency. This perturbation can affect the behavior of the system, causing resonance or other dynamic responses that are not present in the absence of the perturbation. Understanding and analyzing harmonic perturbation is important in various fields such as physics, engineering, and biology.
Examples of minerals on the periodic table?
None present. Periodic table lists elements, not minerals.
What are the obvious differences between the elements on either side of the periodic table?
Gases and metals
What are some examples of stable elements and where are they found in the periodic table?
noble elements are the stable elements. They are found in group 18 in the periodic table.
What is that motion which is periodic but not harmonic?
The motion of a pendulum is periodic but not necessarily harmonic if the amplitude of the oscillation is large enough to cause deviations from simple harmonic motion due to gravitational forces.
What is the difference between shmand non shm?
The difference between simple harmonic motion and harmonic motion is SHM is a periodic motion.
Is a wheel spinning harmonic motion?
No, a wheel spinning is rotational motion, not harmonic motion. Harmonic motion refers to a type of periodic motion where a system oscillates around an equilibrium position.
Can you say circular motion is a harmonic motion?
Circular motion can be considered a type of periodic motion, where an object moves in a circular path with a constant speed. Harmonic motion, on the other hand, is a specific type of periodic motion where the restoring force is directly proportional to the displacement from equilibrium. While circular motion is periodic, it does not necessarily exhibit the characteristics of harmonic motion.
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.
Simple harmonic motion?
Simple harmonic motion is a type of periodic motion where an object oscillates back and forth around an equilibrium position under the influence of a restoring force proportional to the displacement from the equilibrium. Examples include a mass on a spring or a pendulum swinging back and forth. The motion is characterized by a sinusoidal graph showing displacement over time.
What is harmonic perturbation?
Harmonic perturbation refers to a periodic external force or disturbance applied to a system that is close to its natural harmonic frequency. This perturbation can affect the behavior of the system, causing resonance or other dynamic responses that are not present in the absence of the perturbation. Understanding and analyzing harmonic perturbation is important in various fields such as physics, engineering, and biology.
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.
Is movement of bee is simple harmonic motion?
No, the movement of a bee is not an example of simple harmonic motion. Simple harmonic motion is a type of periodic motion where the restoring force is directly proportional to the displacement from equilibrium. Bees may move in complex paths or patterns depending on their behavior and environment.
Examples of acids of periodic table?
There are no acids on the periodic table, Only elements.
What does periodic motion mean?
Periodic motion refers to the repetitive back-and-forth or cyclic movement of an object or system that returns to its original position after a fixed interval of time. Common examples include the swinging of a pendulum, the vibration of a guitar string, or the motion of a simple harmonic oscillator. The time taken for one complete cycle of motion is called the period.
Does 5 sin (Ο/6-2wt) represent a simple harmonic motion Is it periodic or non periodic?
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