Question

Explain Hooke's law.

Answer 1

When studying springs and elasticity, the 17ᵗʰ century physicist Robert Hooke noticed that the stress vs strain curve for many materials has a linear region. Within certain limits, the force required to stretch an elastic object such as a metal spring is directly proportional to the extension of the spring. This is known as Hooke's law and commonly written:

F=−kx

Where F is the force, x is the length of extension/compression and k is a constant of proportionality known as the spring constant which is usually given in N/m.

Though we have not explicitly established the direction of the force here, the negative sign is customarily added. This is to signify that the restoring force due to the spring is in the opposite direction to the force which caused the displacement. Pulling down on a spring will cause an extension of the spring downward, which will in turn result in an upward force due to the spring.

Answer 2

Hooke’s law:-

Robert Hook found that within the elastic limit, the stress is directly proportional to strain.

Thus we have

stress ∝ strain

or stress =K . strain

where K is the constant of proportionality called “Elastic Modulus” of the material.

→There are some materials that do not obey Hooke’s law like rubber, human’s muscle.

Thank You ❤

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