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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 ends are rigidly connected and the lower ends are connected to `A` and `B` of a light horizontal rod `AB`. A vertically 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_(2)+k_(1))`

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
AC=x
`x_(0)=ext^(0)`. In each spring
Torque about C
`K_(1)x_(0)x=K_(2)x_(0)(l-x)`
`x=(lk_(2))/(k_(1)+k_(2))`
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