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
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
Wikipedia gives the answer but no route to it.
F/W = x/(l-x)(l+x)^0.5??????