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A simple harmonic oscillator is any system that when displaced from equilibrium wil satisfy the equation
F=-kx
Where F is the force (mass times acceleration), k is a constant, and x is the position of the oscillator.
The classical example of a harmonic oscillator is the mass on a spring. When you displace the mass, the spring will cause the mass to oscillate back and forth in the direction of the string. In this case, k is the spring constant, a value that effectively tells you how stiff the spring is.
The second classical example is the small angle pendulum. When you move the mass on the end of a pendulum by a small amount, gravity will pull it back towards the lowest point and create an infinite oscillation. The k in this example is equal to m*g/l where m is the mass of the end of the pendulum, g is the acceleration due to gravity (9.81m/s²) and l is the length of the pendulum.
In reality however, these systems rarely display simple harmonic motion. Due to the effects of air resistance, these systems are constantly being dampened and behave in a much more complex way. In addition, the pendulum case only works for small angles due to an approximation used in the derivation of the formula. Anything more than about 10 degrees and the equation will soon stop describing the actual motion.
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When a hammer pulls a nail out of the object what are the two simple machines at work?
The two simple machines are a lever and a fulcrum.
What is harmonics in a transformer?
When discussing harmonics in relation to transformers, generally you're thinking of harmonics in the current waveform - if it's a 60Hz transformer, the 2nd harmonic would be 120Hz, and is usually very high on transformer energization (referred to as inrush current). The nonlinearity of the core can result in core saturation under multiple different conditions, which tend to produce harmonic currents.
Two reasons why people use simple machines?
The two reasons why people use simple machines are because they make things easier to pull and lift.
What type of simple machine would be used to hold two boards togather?
A screw is the simple machine which holds two boards together. In this case it is not acting as a machine though.
Which two simple machines look identical?
the wedge and the inclined plane
Is it possible for a moving body to have acceleration without velocity?
simple harmonic motion (SHM) the two summits of motion are an example
What are two harmonic languages?
Major and Minor.
Is the acceleration of a particle moving with simple harmonic motion inversely proportional to the displacement of the particle from the mean position?
Acceleration is directly proportional to displacement in simple harmonic motion.There are perhaps two good explanations for this, one technical and one intuitive.First let us define simple harmonic motion.When a particle moves in a straight line so that the displacement of the particle with time is exactly given by a simple sine (or cosine) of time, then that it is simple harmonic motion.For example: x=A sine (w t) .Answer 1: (In two steps)(a) If we know position as a function of time, we know velocity is the time rate of change of position.v = w A cosine (w t)(b) If we know velocity as a function of time, we know acceleration is the time rate of change of velocity.a = -w2 A sine (w t)* So, acceleration is proportional to displacement, and a(t)=-w2 x(t).Answer 2: (In three steps)(a) Simple harmonic motion occurs when a mass on an ideal spring oscillates.(b) From Newton's laws, we know that acceleration is directly proportional to force.a=F/m(c) We know the force of an ideal spring is proportional to displacement (F=-kx).* So, acceleration is proportional to displacement, and a(t)= -k/m x(t).(This also tells is that w2 =k/m.)As a result, "acceleration is directly proportional to displacement in simple harmonic motion."
How do you tune a guitar using harmonics?
First, tune the 6th string to E. Next, play the 5th fret harmonic on the 6th string and the 7th fret harmonic on the 5th string. Adjust your 5th string until the pitch of the two match. Next, play the 5th fret harmonic on the 5th string and the 7th fret harmonic on the 4th string. Adjust the 4th string until the pitch of the two harmonics match. Next, play the 5th fret harmonic on the 4th string and the 7th fret harmonic on the 3rd string. Adjust the 3rd string until the pitch of the two harmonics match. Next, play the 7th fret harmonic on the 6th string and play the 2nd string open. Adjust the 2nd string until the pitch of the two harmonics match. Next, play the 5th fret harmonic on the 2nd string and the 7th fret harmonic on the 1st string. Adjust the 1st string until the pitch of the two harmonics match.
How many sharps in E harmonic minor?
two. first is F# in scale E minor second is D# has sharpened from D for E harmonic scale.
What is the origin of the Tibetan Bell?
The origin of the Tibetan bell goes back 3,000 years. It is a bell used for meditation, relaxation as well as music, and produces one harmonic, with two harmonic overtones.
If the fundamental frequency in a closed tube is 250Hz what are the frequencies of the next two harmonics?
The second harmonic will be 2 x the fundamental; the third harmonic is 3 x the fundamental: 500 Hz, and 750Hz.
How do you fix a 1993 Honda civic that wont start no power to the distributor and the fuses are not blown?
Check your timing belt, harmonic balancer and the either two or three belts that connect to the harmonic balancer
How are overtones related to fundamental tones?
The first overtone is the fundamental times two. The second overtone is the fundamental times three. In physics the first harmonic is the fundamental. In physics is the second harmonic the first overtone. In physics is the third harmonic the second overtone. In physics is the fourth harmonic the third overtone. Even-numbered harmonics are odd-numbered overtones. Odd-numbered harmonics are even-numbered overtones.
WHAT IS relation between arithmetic mean geometric mean and harmonic mean of two numbers?
If x and y are two positive numbers, with arithmetic mean A, geometric mean G and harmonic mean H, then A ≥ G ≥ H with equality only when x = y.
Can you define false syllogisms?
A false syllogism is one which takes two or more simple facts and derives a false third fact from the first two. The classic example is; Nuns are only women. Only women can have babies. Only Nuns can have babies.
How can instrument with only four strings make more than four pitches?
Combine two discordant notes in the high register to produce fractured harmonic. Experiment to find the harmonic that is complimentary to the note required/desired.
