To-and-fro periodic motion in science and engineering
Part of a series on
Classical mechanics
Second law of motion
History
Timeline
Textbooks
Branches
Applied
Celestial
Continuum
Dynamics
Kinematics
Kinetics
Statics
Statistical mechanics
Fundamentals
Acceleration
Angular momentum
Couple
D'Alembert's principle
Energy
kinetic
potential
Force
Frame of reference
Inertial frame of reference
Impulse
Inertia / Moment of inertia
Mass
Mechanical power
Mechanical work
Moment
Momentum
Space
Speed
Time
Torque
Velocity
Virtual work
Formulations
Newton's laws of motion
Analytical mechanics
Lagrangian mechanics
Hamiltonian mechanics
Routhian mechanics
Hamilton–Jacobi equation
Appell's equation of motion
Koopman–von Neumann mechanics
Core topics
Damping
Displacement
Equations of motion
Euler's laws of motion
Fictitious force
Friction
Harmonic oscillator
Inertial / Non-inertial reference frame
Mechanics of planar particle motion
Motion (linear)
Newton's law of universal gravitation
Newton's laws of motion
Relative velocity
Rigid body
dynamics
Euler's equations
Simple harmonic motion
Vibration
Rotation
Circular motion
Rotating reference frame
Centripetal force
Centrifugal force
reactive
Coriolis force
Pendulum
Tangential speed
Rotational frequency
Angular acceleration / displacement / frequency / velocity
Scientists
Kepler
Galileo
Huygens
Newton
Horrocks
Halley
Maupertuis
Daniel Bernoulli
Johann Bernoulli
Euler
d'Alembert
Clairaut
Lagrange
Laplace
Poisson
Hamilton
Jacobi
Cauchy
Routh
Liouville
Appell
Gibbs
Koopman
von Neumann
Physics portal
Category
v
t
e
In mechanics and physics, simple harmonic motion (sometimes abbreviated SHM) is a special type of periodic motion an object experiences by means of a restoring force whose magnitude is directly proportional to the distance of the object from an equilibrium position and acts towards the equilibrium position. It results in an oscillation that is described by a sinusoid which continues indefinitely (if uninhibited by friction or any other dissipation of energy).
Simple harmonic motion can serve as a mathematical model for a variety of motions, but is typified by the oscillation 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. Other phenomena can be modeled by simple harmonic motion, including the motion of a simple pendulum, although for it to be an accurate model, the net force on the object at the end of the pendulum must be proportional to the displacement (and even so, it is only a good approximation when the angle of the swing is small; see small-angle approximation). Simple harmonic motion can also be used to model molecular vibration.
Simple harmonic motion provides a basis for the characterization of more complicated periodic motion through the techniques of Fourier analysis.
and 22 Related for: Simple harmonic motion information
acting on the system, the system is called a simpleharmonic oscillator, and it undergoes simpleharmonicmotion: sinusoidal oscillations about the equilibrium...
The Worcester Polytechnic Institute (WPI) is a private research university in Worcester, Massachusetts. Founded in 1865, WPI was one of the United States'...
functions known as harmonicmotion . The motion of a Harmonic oscillator (in physics), which can be: Simpleharmonicmotion Complex harmonicmotion Keplers laws...
mechanics, as a linear motion over time, this is simpleharmonicmotion; as rotation, it corresponds to uniform circular motion. Sine waves occur often...
per second Degree (angle) Mean motion Orders of magnitude (angular velocity) Rotational frequency Simpleharmonicmotion Cummings, Karen; Halliday, David...
[citation needed] The reciprocating motion of a pump piston is close to but different from, sinusoidal simpleharmonicmotion. Assuming the wheel is driven...
above show that the motion of the piston (connected to rod and crank) is not simpleharmonicmotion, but is modified by the motion of the rod as it swings...
sinusoidal plane wave in which at any point the field experiences simpleharmonicmotion at one frequency. In linear media, complicated waves can generally...
each other within their spheres of action. 2. That all bodies having a simplemotion, will continue to move in a straight line, unless continually deflected...
excited. To a first approximation, the motion in a normal vibration can be described as a kind of simpleharmonicmotion. In this approximation, the vibrational...
deviation of a system from being a harmonic oscillator. An oscillator that is not oscillating in harmonicmotion is known as an anharmonic oscillator...
Earth, the above calculation underestimates the actual speed. Simpleharmonicmotion – motion in which the body oscillates in such a way that the restoring...
on the rotating part. The location of the piston versus time is simpleharmonicmotion, i.e., a sine wave having constant amplitude and constant frequency...
When a body rotates about its axis, the motion cannot simply be analyzed as a particle, as in circular motion it undergoes a changing velocity and acceleration...
position of the system. The restoring force is often referred to in simpleharmonicmotion. The force responsible for restoring original size and shape is...
(shmat, shmctl, etc.) Shek Mun station, Hong Kong, MTR station code Simpleharmonicmotion, in physics Somatic hypermutation, allowing immune system adaptation...
In physics, equations of motion are equations that describe the behavior of a physical system in terms of its motion as a function of time. More specifically...
Inertia is the tendency of objects in motion to stay in motion and objects at rest to stay at rest, unless a force causes its speed or direction to change...
is also the form of a curve for which the period of an object in simpleharmonicmotion (rolling up and down repetitively) along the curve does not depend...