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seboastien
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Homework Statement
A heavy weight is suspended by a cable and pulled to one side by a force F. How much force is required to hold the weight in equilibrium at a given distance x to one side.
From classical mechanics, TcosX= W and TsinX=F. Find F/W as a power series of X(angle).
Often in a problem like this, what we know is not X, but x(displacement) and l(length of string).
Find F/W as a series of powers in x/l
Homework Equations
TcosX=W
TsinX=F
The Attempt at a Solution
How do I calculate the power series for tanX? I've searched online but the people at yahoo answers got it wrong
http://en.wikipedia.org/wiki/Taylor_series
Wikipedia gives the answer but no route to it.
SinX= x/l
cosX= ((l-x)(l+x))^0.5/l
F/W = x/(l-x)(l+x)^0.5?