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should restoring force be always equal to the deforming force

should restoring force be always equal to the deforming force

Grade:11

3 Answers

Aman Bansal
592 Points
9 years ago

Dear Soumyajit,

 6.5 Restoring Force of a Spring; Hooke''s Law

 

A body is said to be elastic if it suffers a deformation when a stretching or compressing force is applied to it and returns to its original shape when the force is removed. For example, suitable forces can stretch a coil spring or a rubber band and they can bend a flexible rod or a beam of metal or wood. Even bodies normally regarded as rigid, such as the balls of a ball bearing made of hardened steel, are somewhat elastic -- they will deform if a sufficiently large force is applied to them.

The force with which a body resists deformation is called its restoring force. If we stretch a spring by pulling with our hand, we can feel the restoring force opposing our pull. The restoring force and the force that produces the deformation are of equal magnitudes; they are an action-reaction pair.

Under static conditions, the restoring force with which an elastic body opposes whatever pulls on it often obeys a simple empirical law known as Hooke''s Law:

 

The magnitude of the restoring force is directly proportional to the deformation.

This is not a general law of physics -- the exact restoring force produced by the deformation of an elastic body depends in a complicated way on the shape of the body and on the detailed properties of the material of the body. Hooke''s Law is only an approximate, phenomenological description of the restoring force. However, it is often a quite good approximation, provided that the deformation is small.

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Aman Bansal

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TANAYRAJ SINGH CHOUHAN
65 Points
9 years ago

YES TO MAINTAIN EQUILIBRIUM MAGNITUDE OF BOTH RESTORING AND DEFORMING MUST BE EQUAL

IF EQUILIBRIUM IS NOT MAINTAINED THEN ONE EXEEDS OTHER

SOUMYAJIT NAG
18 Points
8 years ago
the concept of equilibrium that u r providing is not completely true.consider the case of a spring.at any particular displacement a particular restoring force acts.if the deforming force were to be always equal,the spring should have stopped from being stretched as further stretching would increase the restoring force.so,here deforming force depends on us

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