- #1
willpower101
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Homework Statement
A horizontal rope is tightly tied to hooks between two walls separated by a distance of 5m. A 100 Newton weight is suspended from the middle fo the rope and it sags so that the middle of the rope is displaced a distance of .25 meters.
a) what's the tension in the rope?
b) what are the horizontal and vertical forces are exerted on the hooks?
Homework Equations
I have no idea how to solve this.
The Attempt at a Solution
We've been resolving vectors into their components using
A*sin(A's θ)= Ayi
A*cos(B's θ)= Axj
Then
Resultant = sqrt(sumX^2 + sumY^2)
Resultant θ = arctan(Y/X)
Equilibrant θ= Rθ + 180
I just don't know what to do with the info I have. 100N seems to be the only force I have to work with. It looks like a vector component y.
I assume I need to fine the force of the hypotenuse vector I need to find it in the direction toward θ1? But I keep going around in circles trying to figure it out.