a. Explanation Given: According to the figure a strong chain and a convenient tree, Fasten the chain to the car and to the tree. Pull with a force F at the center of the chain. So we have, F = 2 T sin θ , and T = F 2 sin θ where, T is the tension in the chain. Figure Concept Used: Taylor series for the 1 1 − y , 1 1 − y = 1 + y + y 2 + y 3 + ... = ∑ n = 0 ∞ y n for alln . Calculation: From mechanics, F = 2 T sin θ , and T = F 2 sin θ Using the figure, sin θ = x 10 T = F 2 ( x 10 ) = 10 F 2 x = 5 F x = 5 F x − 1 We know the taylor series for 1 1 − y Take 1 " b. To determine Find T as θ − 1 ( = 1 θ ) times a series of powers of θ .

3rd Edition

ISBN: 9781118048870

Author: Boas

Publisher: WILEY

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Chapter 1.15, Problem 30P

To determine

Find T as x−1(=1x) times a series of powers of x .

To determine

Find T as θ−1(=1θ) times a series of powers of θ .

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Chapter 1.15, Problem 29P

Chapter 1.15, Problem 31P

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MATHEMATICAL METHODS IN THE PHY SCIENC

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Find T as x − 1 ( = 1 x ) times a series of powers of x .

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Find T as x−1(=1x) times a series of powers of x .

Find T as θ−1(=1θ) times a series of powers of θ .

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