Explanation Given: Isosceles triangle of height 2 on top of a triangle of base 4 and height 3 Key points: · Additivity of moments : If center of mass of given region is located at the point ( x C M , y C M ) then x C M = total moments in x − direction total area y C M = total moments in y − direction total area Calculation: Consider the given region which is the combination of rectangle and isosceles triangle. Indicate the center of mass of rectangle and triangle exactly at the middle as follows: Area of rectangle A 1 = 4 × 3 = 12 square units with Center ( x 1 , y 1 ) = ( 0 , 1 2 ) Area of triangle A 2 = 4 × 2 2 = 4 with Center ( x 2 , y 2 ) = ( 0 , 4 ) x C M

4th Edition

ISBN: 9781319050733

Author: Rogawski

Publisher: MAC HIGHER

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Chapter 9.4, Problem 41E

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The center of mass (COM) of the given region with the use of additivity of moments

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Chapter 9.4, Problem 40E

Chapter 9.4, Problem 42E

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Chapter 9 Solutions

CALCULUS (CLOTH)

Ch. 9.1 - Prob. 1PQ Ch. 9.1 - Prob. 2PQ Ch. 9.1 - Prob. 3PQ Ch. 9.1 - Prob. 1E Ch. 9.1 - Prob. 2E Ch. 9.1 - Prob. 3E Ch. 9.1 - Prob. 4E Ch. 9.1 - Prob. 5E Ch. 9.1 - Prob. 6E Ch. 9.1 - Prob. 7E

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The center of mass (COM) of the given region with the use of additivity of moments

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To find: The center of mass (COM) of the given region with the use of additivity of moments

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Chapter 9 Solutions

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The center of mass (COM) of the given region with the use of additivity of moments