Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 9 - Further Applications of the Integral and Taylor Polynomials - 9.3 Center of Mass - Exercises - Page 483: 2

Answer

$(1, \frac{7}{12})$

Work Step by Step

$M_{x}$ = $4(2)+2(2)+5(-1)+1(0)$ = $7$ $M_{y}$ = $4(1)+2(-3)+5(2)+1(4)$ = $12$ the total mass of the system is $12$ so the coordinates of the center of mass are $(\frac{M_{y}}{M},\frac{M_{x}}{M})$ = $(1, \frac{7}{12})$
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