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Question

In Hooke's law, the constant of proportionality signifies?


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Solution

Hooke's law

  1. Hooke's law states that stress is always proportional to strain and the ratio of stress and strain is constant, i.estressstrain=constant,
  2. From this law, we know that applied stress is proportional to strain, i.e, Fx

Proportionality constant

  1. Thus, the applied stress, F=-kx k=-Fx, where k is the constant of proportionality.
  2. The negative sign indicates here that the direction of the applied force is opposite to the restoring force of the spring.
  3. The constant K is the modulus of elasticity or spring constant. The unit of spring constant or modulus of elasticity is N/m.
  4. The dimension of springK=-MLT-1L=MT-1 the spring constant is.

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