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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.
What else can I help you with?
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.
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 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.
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.
How do you merge two area for ANSYS Multiphysic software?
its a simple way
What is the period of a simple harmonic motion?
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.
Is it possible for a moving body to have acceleration without velocity?
simple harmonic motion (SHM) the two summits of motion are an example
When you get lissagous figure in physics?
Lissajous figures are observed when two simple harmonic motions are perpendicular to each other. These figures can be generated by plotting the motion of a point on a plane as it moves according to the two harmonic motions. They are commonly seen in the study of oscillations and wave phenomena.
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."
What is the harmonic rule?
The harmonic rule states that when two notes are played together, their frequencies must have a simple mathematical relationship to create a pleasant sound. This relationship is usually expressed as whole number ratios, such as 2:1 (octave) or 3:2 (perfect fifth). Violating this rule can result in dissonance.
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.
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
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.
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.
When is acceleration greatest in SHM?
Acceleration is greatest at the extremities of the motion in simple harmonic motion (SHM). This occurs when the displacement is maximum and the restoring force is also maximum, resulting in the highest acceleration.
