The two ends of a spring are displaced along the length of the spring. All displacement 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
(b) both ends are displaced towards right
(c) both ends are displaced towards left
(d) the right end is displaced towards left and the left end towards right.
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•The two ends of a spring are displaced along the length of the spring.
•All displacement have equal magnitudes.
•In case which is listed in option(d) tension or compression in the spring will have a maximum magnitude.
•It will happen because 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.
So the option (d) is correct.
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The tension or compression in the spring will have a maximum magnitude in the case of :
(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.
Explanation:
- If the right end is moved to the right and the left end is moved to the left, this is the case of expansion and the spring has a maximum displacement.
- If the right end is moved to the left and the left end is moved to the right, this is the case of compression and the springs have the maximum displacement again.
Hence, 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.
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