Yes, alternating currents are a type of simple harmonic motion where the current oscillates back and forth periodically. This motion is characterized by a sinusoidal waveform and can be described using equations similar to those used for simple harmonic motion.
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Simple Harmonic motion is circular motion.
Look at a graph showing simple harmonic motion... you'll see it.
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A simple pendulum exhibits simple harmonic motion
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by using the formula we will calculat time period of simple harmonic motion
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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.
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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.
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In simple harmonic motion, the frequency remains constant if friction is ignored.
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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
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Check out Wikipedia.org, "The World's Encyclopedia"
simple harmonic motion >> http://en.wikipedia.org/wiki/Simple_harmonic_motion
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A source vibrating with simple harmonic motion produces a sinusoidal wave.
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Yes, a motion can be oscillatory without being simple harmonic. Simple harmonic motion specifically refers to a type of oscillatory motion where the restoring force is directly proportional to the displacement. Other types of oscillatory motion can have different relationships between the restoring force and displacement, making them non-simple harmonic.
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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.
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When the amplitude of simple harmonic motion is doubled, the time period remains the same. The time period of simple harmonic motion only depends on the mass and spring constant of the system, not the amplitude.
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The motion of a simple pendulum will be simple harmonic when the angle of displacement from the vertical is small (less than 10 degrees) and the amplitude is also small.
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Yes, a bouncing ball can be considered an example of simple harmonic motion when it bounces up and down in a consistent pattern. The ball's motion can be modeled using concepts like amplitude, frequency, and period which are typical in simple harmonic motion.
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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.
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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.
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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.
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Yes. There are certainly other kinds of motion, whose angular frequency
is not constant, but those are not called "simple harmonic" motion.
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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.
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The difference between simple harmonic motion and harmonic motion is SHM is a periodic motion.
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The maximum acceleration of a simple harmonic oscillator can be calculated using the formula a_max = ω^2 * A, where ω is the angular frequency and A is the amplitude of the oscillation.
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Keeping the amplitude of a simple pendulum small helps maintain the simple harmonic motion, making the period of oscillation constant. For larger amplitudes, the motion becomes more complex and deviates from simple harmonic motion. Additionally, small amplitudes ensure that the restoring force is directly proportional to the displacement, as assumed in the theory of simple harmonic motion.
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Velocity is maximum at mean position for particle performing simple harmonic motion. Another feature that is maximum at this position is kinetic energy.
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Some everyday examples of simple harmonic motion include a swinging pendulum (like a grandfather clock), a bouncing spring, and the vibrations of guitar strings.
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IF the leaf is going up and down because a wave with constant wavelength is passing by, THEN the leaf is executing simple harmonic vertical motion.
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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.
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The equilibrium position in simple harmonic motion is the point where the oscillating object is at rest, with no net force acting on it. It is the position where the object naturally tends to stay when not disturbed.
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The period (T) and frequency (f) formula for a simple harmonic oscillator is:
T 1 / f
where T is the period in seconds and f is the frequency in hertz.
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To determine if a motion follows the principles of simple harmonic motion, you can analyze if the motion is periodic, has a restoring force proportional to displacement, and has a constant frequency.
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The phase angle in simple harmonic motion indicates the position of an object within its cycle of oscillation. It helps determine the relationship between the object's position, velocity, and acceleration at any given time. By understanding the phase angle, we can predict and analyze the behavior of the system undergoing simple harmonic motion.
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Yes.
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A motion is considered simple harmonic if it follows a pattern of oscillation where the restoring force is directly proportional to the displacement from a fixed point and is directed towards that point. Additionally, the motion should be periodic and have a constant frequency.
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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.
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In a simple harmonic oscillator, kinetic energy and potential energy are equal at the amplitude of the motion. At this point, all the energy is in the form of kinetic energy, and the displacement is at its maximum value.
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A body in simple harmonic motion with amplitude A will move a total distance fo 2A in a time equal to one period.
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The period of a simple harmonic motion is the time it takes for one complete cycle of the motion to occur. It is the duration between two consecutive identical points in the motion, such as two peaks or two troughs.
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amplitude
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The acceleration is greatest at the top and bottom of the motion.
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A repeated cycle of a tuning fork.
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it'll get louder
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Yes, the motion of a metronome is an example of harmonic motion. The swinging motion of the metronome follows a repetitive pattern back and forth, which can be described using simple harmonic motion equations.
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A ball can exhibit simple harmonic motion when it is acted upon by a restoring force, like gravity or a spring. As the ball moves back and forth along its path, it experiences a restoring force that pulls it back towards its equilibrium position. This results in a repetitive motion that can be described by a sinusoidal function, characteristic of simple harmonic motion.
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yes a bouncing ball is an example of SHM
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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.
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