How do you find the mass constant and stretch of a spring?
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How do you find the mass constant and stretch of a spring?
As per the Hooke’s Law, if spring is stretched, the force exerted is proportional to the increase in length from the equilibrium length. The formula to calculate the spring constant is as follows: k= -F/x, where k is the spring constant.
Which law relates the force and extension of a stretched spring?
Hooke’s Law is a principle of physics that states that the that the force needed to extend or compress a spring by some distance is proportional to that distance.
What is the formula of work done for stretching?
In stretching a wire work is done against internal restoring forces. This work is stored as elastic potential energy or strain energy. If a force F acts along the length L of the wire or cross section A and stretches it by x then: Young′sModulus(Y)=StressStrain=F/Ax/L=FLAx⇒F=YALx.
How do you calculate spring force?
Work by spring force
- F=-kx.
- WS=∫F(x)ⅆx.
- ⇒WS=-12kx2.
- ⇒Kf=Ki.
What is the law of elasticity?
Hooke’s law, law of elasticity discovered by the English scientist Robert Hooke in 1660, which states that, for relatively small deformations of an object, the displacement or size of the deformation is directly proportional to the deforming force or load.
Does the spring constant of a spring depend on its length?
As the length of the spring is increased spring constant decreases. Spring constant and length are inversely proportional. If the spring is cut to half of its original length then the spring constant increases to twice that of the original value.
What is the extension of a stretched spring?
For a given spring and other elastic objects, the extension is directly proportional to the force applied. For example, if the force is doubled, the extension doubles. This works until the limit of proportionality is exceeded.
What is Hooke’s law for a spring?
Mathematically, Hooke’s law states that the applied force F equals a constant k times the displacement or change in length x, or F = kx. The value of k depends not only on the kind of elastic material under consideration but also on its dimensions and shape.