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Limit of proportionality, Meaning (SPM Physics)

The point up to which the extension of a spring stays directly proportional to the applied force.

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EnglishLimit of proportionality
Bahasa MelayuHad kekadaran
中文比例极限

Definition

The point up to which the extension of a spring stays directly proportional to the applied force.

Force and Motion II

In exam terms

The limit of proportionality is the point up to which the extension of a spring stays directly proportional to the applied force. Below it, Hooke's law F = kx holds and a force–extension graph is a straight line through the origin.

At the limit of proportionality the graph stops being straight, so extension is no longer proportional to force.

For example, if a spring's force–extension graph is a straight line up to 10 N and then curves, the limit of proportionality is at 10 N. It has no special unit of its own; the force at that point is in newtons (N) and the extension in metres (m).

Don't confuse it with the elastic limit

Do not confuse the limit of proportionality with the elastic limit. The limit of proportionality is where the straight-line relationship ends; the elastic limit, usually just beyond it, is where the spring stops returning to its original length.

A spring can pass the limit of proportionality yet still be elastic for a little further.

In Paper 2 this is usually asked with 'Define…' or 'Mark the limit of proportionality on the graph'. Identify it as the end of the straight-line region, and read the force there in newtons (N).

Source: DSKP KSSM Physics Form 4 and 5 (Versi English) (Bahagian Pembangunan Kurikulum (BPK), KPM)

Frequently asked questions

What does the limit of proportionality mark on a graph?
The point where a force–extension graph stops being a straight line, so extension is no longer directly proportional to force.
Is it the same as the elastic limit?
No. The limit of proportionality comes first, where proportionality ends; the elastic limit is where the spring stops returning to its original length.
Does Hooke's law hold beyond the limit of proportionality?
No. Hooke's law applies only up to the limit of proportionality, where extension is directly proportional to force.

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