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Question

The two ends of a spring are displaced along the length of the spring. All displacements have equal magnitudes. In which case or cases the tension or compression in the spring will have a maximum magnitude?

A
the right end is displaced towards right and the left end towards left
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B
both ends are displaced towards right
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C
both ends are displaced towards left
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D
the right end is displaced towards left and the left end towards right
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Solution

The correct options are
A the right end is displaced towards right and the left end towards left
D the right end is displaced towards left and the left end towards right
The tension is maximum when the displacements of two ends from equilibrium is maximum. That happens when the right end is displaced towards right and the left end towards left.
The maximum
compression will happen opposite to the tension. That is when the right end is displaced towards left and the left end towards right.

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