2006-10-30 06:03:17 · 6 answers · asked by Anonymous in Science & Mathematics ➔ Physics
a body is said to be moving with simple harmonic motion if:
a) Its acceleration is directly proportional to its distance from a fixed point on its path
and b) its acceleration is always directed towards that point.
2006-10-30 06:12:20 · answer #1 · answered by AntiStyptic 2 · 0⤊ 0⤋
Simple harmonic motion is typified by the motion of a mass on a spring when it is subject to the linear elastic restoring force given by Hooke's Law. The motion is sinusoidal in time and demonstrates a single resonant frequency.
Have a look at the link provided. Some nice diagrams and equations are there for your enjoyment.
2006-11-01 23:28:56 · answer #2 · answered by Anonymous · 0⤊ 0⤋
Simple harmonic motion is the motion of a simple harmonic oscillator, a motion that is neither driven nor damped. The motion is periodic, as it repeats itself at standard intervals in a specific manner - described as being sinusoidal, with constant amplitude. It is characterized by its amplitude which is always positive and depends on how motion starts initially, its period which is the time for a single oscillation, and its phase which depends on displacement as well as velocity of the moving object.
One definition of simple harmonic motion is "motion in which the acceleration of the oscillator is proportional to, and opposite in direction to the displacement from its equilibrium position",
A general equation describing simple harmonic motion is , where y is the displacement, A is the amplitude of oscillation, f is the frequency, t is the elapsed time, and φ is the phase of oscillation. If there is no displacement at time t = 0, the phase φ = 0. A motion with frequency f has period .
Simple harmonic motion can serve as a mathematical model of a variety of motions and provides the basis of the characterisation of more complicated motions through the techniques of Fourier analysis.
2006-10-30 06:27:04 · answer #3 · answered by ^crash_&_burn^ 3 · 1⤊ 1⤋
The exact def of this is displacement is proportional to minas the acceleration. not very helpful if need an essay, but good to know as it makes a good equation. (ie x is proportional to -a) where x is displacement and a is the acceleration.
2006-10-31 07:16:38 · answer #4 · answered by darren p 2 · 0⤊ 0⤋
as a lot as I keep in mind, if a particle is appearing UCM, then the projection of the particle on between the diameters of the circle performs SHM. in case you save a candle in erect positionon a horizontal revolving table,set it in UCM and deliver mild horizontally. The shadow of the candle on the wall performs SHM. I did this attempt so I remember it. i finished gaining comprehend-how of Physics in 1972. Sorry if there is any mistakes in this.
2016-12-05 09:10:56 · answer #5 · answered by forester 4 · 0⤊ 0⤋
a whole number multiple of the base frequency.
2006-10-30 06:07:38 · answer #6 · answered by Sophist 7 · 0⤊ 0⤋