Get Physics 3-24-14 Simple Harmonic Motion - Vimeoinfo

Simple harmonic motion occurs in a myriad of different forms in the everyday world; for example, a person bouncing on the end of a diving board, a child in a swing, or your cousin's funky car (you know the one with no shocks) that bounces down the road like a low-rider every time you hit a bump.

The position of a wave exhibiting simple harmonic motion can be described using the SHM equation, x = A s i n ( ω t ) where x is the position of the wave, A is the amplitude of the wave, is the wave's angular velocity, also called the angular frequency, and t is the time that the wave travels.

Summary. An oscillation follows simple harmonic motion if it fulfils the following two rules: Acceleration is always in the opposite direction to the displacement from the equilibrium position. Acceleration is proportional to the displacement from the equilibrium position.

The motion of a particle executing simple harmonic motion is described by the displacement function, x (t) = A cos (ωt + φ). If the initial (t = 0) position of the particle is 1 cm and its initial velocity is ω cm/s, what are its amplitude and initial phase angle? The angular frequency of the particle is π s–1.

Simple harmonic motion (SHM) is a type of periodic motion characterized by a restorative force equal and opposite the source of displacement... fortunately for us, our surrounding atmosphere provides that force for sound waves, returning it to the ambient pressure when the source of displacement is at rest.

Simple harmonic motion is defined as a periodic motion of a point along a straight line, such that its acceleration is always towards a fixed point in that line and is proportional to its distance from that point.

simple harmonic motion, in physics, repetitive movement back and forth through an equilibrium, or central, position, so that the maximum displacement on one side of this position is equal to the maximum displacement on the other side. The time interval of each complete vibration is the same.

Proving Motion is SHM Given the equation x=sin(2t)+4cos(2t), to prove SHM we need to differentiate twice to determine the acceleration. Looking at this equation for acceleration, there is a common factor and a negative sign, just like there is in the SHM acceleration!