Physical force acting to bring a system back toward equilibrium
This article is about the physics context. For the Of Mice & Men album, see Restoring Force (album).
In physics, the restoring force is a force that acts to bring a body to its equilibrium position. The restoring force is a function only of position of the mass or particle, and it is always directed back toward the equilibrium position of the system. The restoring force is often referred to in simple harmonic motion. The force responsible for restoring original size and shape is called the restoring force.[1][2]
An example is the action of a spring. An idealized spring exerts a force proportional to the amount of deformation of the spring from its equilibrium length, exerted in a direction oppose the deformation. Pulling the spring to a greater length causes it to exert a force that brings the spring back toward its equilibrium length. The amount of force can be determined by multiplying the spring constant, characteristic of the spring, by the amount of stretch, also known as Hooke's Law.
Another example is of a pendulum. When a pendulum is not swinging all the forces acting on it are in equilibrium. The force due to gravity and the mass of the object at the end of the pendulum is equal to the tension in the string holding the object up. When a pendulum is put in motion, the place of equilibrium is at the bottom of the swing, the location where the pendulum rests. When the pendulum is at the top of its swing the force returning the pendulum to this midpoint is gravity. As a result, gravity may be seen as a restoring force.
^
Giordano, Nicholas (2009–2013). "Chapter 11, Harmonic Motion and Elasticity". College Physics: Reasoning and Relationships. Volumes 1 and 2 (1st, 2nd ed.). Independence, KY: Cengage Learning. p. 360. ISBN 978-0-534-42471-8. LCCN 2009288437. OCLC 191810268.
^
Beltrami, Edward J. (1998) [1988]. "Chapter 1, Simple Dynamic Models". Mathematics for Dynamic Modeling (2nd ed.). San Diego, CA: Academic Press. pp. 3–7. ISBN 9780120855667.
In physics, the restoringforce is a force that acts to bring a body to its equilibrium position. The restoringforce is a function only of position of...
lateral stability for the particular aircraft, the restoring yaw motion lags significantly behind the restoring roll motion. The aircraft passes through level...
special type of periodic motion an object experiences by means of a restoringforce whose magnitude is directly proportional to the distance of the object...
caused by a restoringforce and characterized by its wavelength and frequency. Because the restoringforce for inertial waves is the Coriolis force, their...
that force of gravity will not balance with the force from the spring. In order to have a net centripetal force, the magnitude of the restoringforce of...
the restoringforce acting on the pendulums weight that pushes it back towards its resting position. In harmonic oscillators, the restoringforce is proportional...
galvanometer was used to measure currents using this effect, where the restoringforce returning the pointer to the zero position was provided by the Earth's...
moving beyond that position, establishing a new restoringforce in the opposite sense. If a constant force such as gravity is added to the system, the point...
that, when displaced from its equilibrium position, experiences a restoringforce F proportional to the displacement x: F → = − k x → , {\displaystyle...
magnetic tension is a restoringforce with units of force density that acts to straighten bent magnetic field lines. In SI units, the force density f T {\displaystyle...
subject to a restoringforce due to gravity that will accelerate it back toward the equilibrium position. When released, the restoringforce acting on the...
spring can be derived using Hooke's Law to compute the restoringforce as a measure of the applied force. This requires the assumption, sufficiently correct...
{{\text{Force Constant}} \over {\text{Effective Mass}}}}} (in radians per second) The term for the "force constant" changes if the restoringforce is electrostatic...
electrons with respect to the ions, the Coulomb force pulls the electrons back, acting as a restoringforce. If the thermal motion of the electrons is ignored...
restoring forces to both shear stresses and to normal stresses, both compressive and tensile. By contrast, ideal fluids only respond with restoring forces...
micrometers. Imaging times range from a few minutes to 30 minutes. Restoringforce constants on the cantilever range from 0.01 to 100 N/m depending on...
the Coriolis force and pressure gradient. The image on the left sketches fundamental principles of the wave, e.g., its restoringforce and westward phase...
is perpendicular to the direction of wave propagation, and the main restoringforce comes from shear stress. Therefore, S waves cannot propagate in liquids...
unstable, they descend until in static equilibrium, at which point a restoringforce curves the edges of the fallout back up, creating the lobed appearance...
the instruments relied on the Earth's magnetic field to provide the restoringforce for the compass needle. These were called "tangent" galvanometers and...
term arises from the electrostatic Coulomb restoringforce and the 3k²ve,th² term arises from the restoringforce of electron pressure. In the upper hybrid...