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Get answer: Locate the centroid (x, y) of the area

Statics and Mechanics of Materials | 5th Edition | ISBN: 9780134382593 | Authors: Russell C. Hibbeler ISBN: 9780134382593 479

Solution for problem 6-42 Chapter 6.2

Statics and Mechanics of Materials | 5th Edition

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Statics and Mechanics of Materials | 5th Edition | ISBN: 9780134382593 | Authors: Russell C. Hibbeler

Statics and Mechanics of Materials | 5th Edition

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Problem 6-42

Locate the centroid (x, y) of the area.

Step-by-Step Solution:
Step 1 of 3

Definition 1.1. Given two integers a and d with d non-zero, we say that d divides a (written d | a) if there is an integer c with a = cd. If no such integer exists, so d does not divide a, we write d - a. If d divides a, we say that d is a divisor of a. Proposition 1.2.1: Assume that a, b, and c are integers. If a | b and b | c, then a | c. Proposition 1.3. Assume that a, b, d, x, and y are integers. If d | a and d | b, then d | ax + by. Corollary 1.4. Assume that a, b, and d are integers. If d | a and d | b, then d | a + b and d | a − b. Proposition 1.4. Let a, b, c ∈ Z be integers. a) If a | b and b | c, then a | c. b) If a | b and b | a, then a = ±b. c) If a | b and a | c, then a | (b + c) and a | (b − c). Prime: A prime number is an integer p ≥ 2 whose only divisors are 1 and p. A composite number is an integer n ≥ 2 that is not prime. Ex: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29. The Division Algorithm: Let a and b be integers with b > 0. Then there exist unique integers q (the quotient) and r (the remainder) so that a = bq + r with 0 ≤ r < b. The greatest common devisor: Assume that a and b are integers and they are not both zero. Then the set of their common divisors has a largest element d, called the greatest common divisor of a and b. We write d = gcd (a, b). 12: 1, 2, 3, 4, 6, and 12. 18: 1, 2, 3, 6, 9, and 18. Then {1, 2, 3, 6} is the set of common divisors of 12 and 18. Gcd(12,18) = 6 Proposition 1.10: If a and b are integers with d = gcd(a, b), then a b gcd , =1

Step 2 of 3

Chapter 6.2, Problem 6-42 is Solved
Step 3 of 3

Textbook: Statics and Mechanics of Materials
Edition: 5
Author: Russell C. Hibbeler
ISBN: 9780134382593

Since the solution to 6-42 from 6.2 chapter was answered, more than 256 students have viewed the full step-by-step answer. Statics and Mechanics of Materials was written by and is associated to the ISBN: 9780134382593. The answer to “Locate the centroid (x, y) of the area.” is broken down into a number of easy to follow steps, and 8 words. The full step-by-step solution to problem: 6-42 from chapter: 6.2 was answered by , our top Engineering and Tech solution expert on 03/16/18, 04:48PM. This full solution covers the following key subjects: . This expansive textbook survival guide covers 54 chapters, and 1681 solutions. This textbook survival guide was created for the textbook: Statics and Mechanics of Materials, edition: 5.

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