Mathematical Methods in the Physical Sciences

3rd Edition

ISBN: 9780471198260

Author: Mary L. Boas

Publisher: Wiley, John & Sons, Incorporated

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Textbook Question

Chapter 1.15, Problem 29P

The figure shows a heavy weight suspended by a cable and pulled to one side by a force F. We want to know how much force F is required to hold the weight in equilibrium at a given distance x to one side (say to place a cornerstone correctly). From elementary physics, T c o s θ = W , and T sin θ = F .

(a) Find F/W as a series of powers of θ .

(b) Usually in a problem like this, what we know is not θ , but x and l in the diagram. Find F/ W as a series of powers of x/l.

Chapter 1.15, Problem 29P, The figure shows a heavy weight suspended by a cable and pulled to one side by a force F. We want to

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Chapter 1.15, Problem 28P

Chapter 1.15, Problem 30P

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Mathematical Methods in the Physical Sciences

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