- #1
rico22
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Homework Statement
The springs AB and BC have stiffness k and an unstretched length of l. Determine the
displacement d of the cord from the wall when a force F is applied to the cord. See Picture attached.
Given:
l = 3 m
k = 600 N/m
F = 200 N
Homework Equations
Fspring= ks
s= l - l0
ƩF=0
The Attempt at a Solution
The force of the spring is 600(s) and I know that s = length of spring stretched - length unstretched. So for the sum of forces in the x direction I get 2(600)(s)[d/√(d2+1.52)] = 200... I divide both sides by 2 and get (600)(s)[d/√(d2+1.52)] = 100...
from here I know that I can get s from equation above thus it becomes 600[√(d2+1.52) - 1.5][d/√(d2+1.52)] = 100... but I don't know what else to do from here... any replies would be greatly appreciated.