In mechanics and physics, simple harmonic motion is a type of periodic motion where the restoring force is directly proportional to the displacement. It can serve as a mathematical model of a variety of motions, such as the oscillation of a spring. In addition, other phenomena can be approximated by simple harmonic motion, including the motion of a simple pendulum as well as molecular vibration. 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. In order for simple harmonic motion to take place, the net force of the object at the end of the pendulum must be proportional to the displacement.
Simple harmonic motion provides a basis for the characterization of more complicated motions through the techniques of Fourier analysis.
Read more about Simple Harmonic Motion: Introduction, Dynamics of Simple Harmonic Motion, Energy of Simple Harmonic Motion
Famous quotes containing the words simple, harmonic and/or motion:
“If, then, we would indeed restore mankind ... let us first be as simple and well as Nature ourselves, dispel the clouds which hang over our own brows, and take up a little life into our pores. Do not stay to be an overseer of the poor, but endeavor to become one of the worthies of the world.”
—Henry David Thoreau (1817–1862)
“For decades child development experts have erroneously directed parents to sing with one voice, a unison chorus of values, politics, disciplinary and loving styles. But duets have greater harmonic possibilities and are more interesting to listen to, so long as cacophony or dissonance remains at acceptable levels.”
—Kyle D. Pruett (20th century)
“... The festival-colored brightness
That is their motion ...”
—Gwendolyn Brooks (b. 1917)