Power series in real world situation

  • Thread starter 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. Tcosθ=W and Tsinθ=F. Find F/W as a power series of θ. Often in a problem like this, what we know is not θ, but x and l. Find F/W as a series of powers in x/l.

l is the length if the cable
W is weight
T is the tension in the cable


Homework Equations





The Attempt at a Solution



no idea...
 

Answers and Replies

  • #2
HallsofIvy
Science Advisor
Homework Helper
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The first obvious thing to do is to see that F/W= (T sin(θ))/(Tcos(θ))= tan(θ).

Can you expand that as a power series- say, a Taylor series?
 

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