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Two light vertical springs with equal na...

Two light vertical springs with equal natural length and spring constants `k_(1)` and `k_(2)` are separated by a distance`l`. Their upper end the ends `A` and `B` of a light horizontal rod `AB`. A vertical downwards force `F` is applied at point `C` on the rod. `AB` will remain horizontal in equilibrium if the distance `AC` is

A

`l/2`

B

`(lk_(1))/(k_(1)+k_(2))`

C

`(lk_(2))/(k_(1))`

D

`(lk_(1))/(k_(1)+k_(2))`

Text Solution

Verified by Experts

The correct Answer is:
D
Let `x` be the distance from the end of spring constant `K_(1)`. If `y` is the elongation of the rod, kasking moments about the point `C`.
`rArrK_(1)yx=K_(2)y(L-x)`
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