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An elastic wire is cut into two equals h...

An elastic wire is cut into two equals halves. Determine whether there will be any change in the maximum load that each half can carry.

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Young modulus, `Y=(stress)/(strai n)` For maximum load the stress is the breaking stress. For wires of the same material , both Y and the breaking stress have fixed characteristic values.
So, when a wire carries the maximum load, the strain acquires a particular value. This value is independent of the initial length of the wire. Therefore, two wires of the same material of lengths `L_1` and `L_2`, can carry the same maximum load.
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