What is meant by the limit of proportionality of a spring?When a spring is stretched beyond its limit of proportionality, it will not return to its original shape if the force being applied to it is removedIt is the point beyond which the extension of the spring is no longer proportional to the force applied to itOn an extension-force graph for the spring, it is the point after which the line will become straightA spring may not be stretched beyond its limit of proportionality
Question
What is meant by the limit of proportionality of a spring?When a spring is stretched beyond its limit of proportionality, it will not return to its original shape if the force being applied to it is removedIt is the point beyond which the extension of the spring is no longer proportional to the force applied to itOn an extension-force graph for the spring, it is the point after which the line will become straightA spring may not be stretched beyond its limit of proportionality
Solution
The limit of proportionality of a spring refers to the maximum point up to which the spring can be stretched such that its extension is directly proportional to the force applied to it. This is based on Hooke's Law, which states that the force needed to extend or compress a spring by some distance is proportional to that distance.
Here are the steps to understand this concept:
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When a force is applied to a spring, it stretches. The amount it stretches (extension) is directly proportional to the force applied. This is known as Hooke's Law.
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The limit of proportionality is the maximum point up to which Hooke's Law is true for the spring. Beyond this point, the extension of the spring is no longer proportional to the force applied.
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If a spring is stretched beyond its limit of proportionality, it will not return to its original shape once the force is removed. This is because the elastic limit of the spring has been exceeded.
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On a graph of force against extension for a spring, the limit of proportionality is the point at which the graph stops being a straight line. Beyond this point, the graph will curve, indicating that the extension is no longer proportional to the force.
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It is not advisable to stretch a spring beyond its limit of proportionality as it can cause permanent deformation to the spring.
Similar Questions
what happens to the spring that stretches beyond the proportional limit.
Which of the following statements is incorrect?All objects will undergo inelastic deformation if the forces acting on them are large enoughWhen an object is deformed elastically, it will return to its original shape if the forces acting on it are removedEnergy is not required to deform an object elasticallyWhen an object is deformed inelastically, it will not return to its original shape if the forces acting on it are removed2What is meant by the limit of proportionality of a spring?A spring may not be stretched beyond its limit of proportionalityWhen a spring is stretched beyond its limit of proportionality, it will not return to its original shape if the force being applied to it is removedIt is the point beyond which the extension of the spring is no longer proportional to the force applied to itOn an extension-force graph for the spring, it is the point after which the line will become straight3Calculate the force which must be applied to extend a spring of spring constant 10 N/m by 5 cm. You may assume that this force does not cause the spring to exceed its limit of proportionality.0.5 N20 N0.2 N5 N4A spring is initially 30 cm long. When a force of 12 N is applied to it, its length increases to 50 cm. Calculate its spring constant. You may assume that this force does not cause the spring to exceed its limit of proportionality.40 N/m24 N/m60 N/m2.4 N/m5A student is investigating how the force applied to two different springs affects their extension. She plots an extension-force graph for spring A (with extension on the y-axis and force on the x-axis) and obtains a straight line. On the same axes, she plots a second straight line using the data which she obtained for spring B. The gradient (slope) of the line for spring B is lower than that for spring A. What does this tell us about the spring constants of these springs?The spring constant of spring A is equal to that of spring BNothingThe spring constant of spring A is lower than that of spring BThe spring constant of spring A is greater than that of spring B6A spring (of spring constant 20 N/m) is stretched by 5 cm. Calculate the amount of work which must be done in stretching the spring by this amount.0.025 J1 J100 J0.5 J
what happens to the spring that stretches beyond the elastic limit.
A weight of 2.0 N is hung from a spring. The extension produced is 6.0 cm. The 2.0 N weight is removed and an 8.0 N weight is hung from the spring. The spring does not pass its limit of proportionality.What is the new extension of the spring?
HOOKE’S LAWthe extension of a spring is in direct proportion withthe load added to it
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