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Two block are connected by a spring of n...

Two block are connected by a spring of natural length 2m. The force constant of spring is `200Nm^(-1)`.

Find the spring force in the following situations:
(a) A is kept at rest and B is displaced by 1m in right direction.
(b) B is kept at rest and A is displaced by 1m in left direction.
(c ) A is displaced by `0.75 m` in right direction and B is `0.25 m` in left direction.

Text Solution

Verified by Experts

(a) Extension in spring =1m

`F_("spring")=K xx x = 200 xx 1 =200N`
(b) Same Extension same spring force in both direction,
`F_("spring")=200N`
(c ) Both displacements of A of B are compressing the spring
total compressing =`0.75+0.25=1m`
`:. F_("spring")=kx=200 xx 1 =200N`.
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