Question

Finding Tension in an Elastic String?

Answer 1

Elastic Strings

Modulus and Natural Length

Elastic strings are strings which are not a fixed length (they can be stretched). Some strings are more stretchy than others and the modulus (or modulus of elasticity) of a string is a measure of how stretchy it is. The modulus is measured in newtons.

The length of an elastic string which does not have any forces acting upon it is known as the natural length of the string. If a string has been stretched, then the extension is how much longer the string is as a result of being stretched. Note that the extension = length of the string - natural length.

Hooke's Law

Hooke's law states that the tension in an elastic string (or spring), T, is found using the following formula:

where l is the modulus of elasticity of the string, x is the extension of the string and l is the natural length of the string.

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Answer 2

Hey !

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An inelastic string will not stretch at all, while an elastic one will stretch when you put it under tension until the tension cancels out the force.

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