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zalba
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Homework Statement
A wire is used to keep two uniform posts from falling, as in the figure. The wire is
5.00 m long, and has a mass of 0.732 kg. The posts are identical and are uniform in cross
section, with a mass of 25.0 kg each.
a. Find the tension in the wire (assume the wire is horizontal).
b. Find the fundamental frequency of waves on the wire, and the first two harmonics.
Also, theta is 57 degrees for both rods to the horizontal, but on opposite sides.
Homework Equations
F=ma
λ=2L
f=[itex]\frac{v}{λ}[/itex]
v=[itex]\sqrt{\frac{T}{μ}}[/itex]
The Attempt at a Solution
Part b seems fairly straightforward once I have solved a, but I am having some difficulty with it. My assumption would be that the tension in the wire has to equal the force of gravity to prevent it from falling over, such that T=2mgsinθ, but I have a feeling that is wrong. Also, since I am assuming the mass is uniform throughout the rope, that shouldn't have any effect on the tension right?
Thanks
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