Expanding the integrand in Eq. (19.19) of Sec. 19.4 into a series of even powers of sin

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Expanding the integrand in Eq. (19.19) of Sec. 19.4 into a series of even powers of sin φ and integrating, show that the period of a simple pendulum of length l may be approximated by the formula where θm is the amplitude of the oscillations.

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Vector Mechanics for Engineers Statics and Dynamics

ISBN: 978-0073212227

8th Edition

Authors: Ferdinand Beer, E. Russell Johnston, Jr., Elliot Eisenberg, William Clausen, David Mazurek, Phillip Cornwell

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Question Posted: Nov 01, 2010 05:01 AM

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Expanding the integrand in Eq. (19.19) of Sec. 19.4 into a series of even powers of sin

Question:

t = 27, 1 20 1+ si Vg 4 291 2

Step by Step Answer:

Using the Binomial Theorem we write 1 Sin sim 2 1 sin sino 20m Neg...View the full answer

Vector Mechanics for Engineers Statics and Dynamics

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