Concept explainers
To calculate: The strength of the beam as a function of angle
Answer to Problem 66E
The strength of the beam as function of angle
Explanation of Solution
Given information:
A rectangular beam is cut from a cylindrical log of diameter
Formula used:
The trigonometric ratios for a right angle triangle are defined as,
Calculation:
Consider rectangular beam is cut from a cylindrical log of diameter
Now, for the
The value of sine function is,
The value of cosine function is,
It is provided that strength of the beam is proportional to the width and square of the depth.
That is,
Substitute
Thus, the strength of the beam as function of angle
Chapter 6 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning