For the shaded region shown, determine the following using vertical strip: a. Area x= 2y -3 4 b. First moment of the shaded area with respect to x-axis c. First moment of the shaded area with respect to y-axis d. Centroid (x, ỹ) 1 10 1 2 3 4 5 Answer: Area = 343/48 units?; Q, = 2401/240 units; Q, = 1029/64 units; (x, ỹ)= (9/4, 7/5) %3D %3D %3D

For the shaded region shown, determine the following using vertical strip: a. Area x= 2y -3 4 b. First moment of the shaded area with respect to x-axis c. First moment of the shaded area with respect to y-axis d. Centroid (x, ỹ) 1 10 1 2 3 4 5 Answer: Area = 343/48 units?; Q, = 2401/240 units; Q, = 1029/64 units; (x, ỹ)= (9/4, 7/5) %3D %3D %3D

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Center of Gravity and Centroid

The term center of gravity indicates the position or location of a point about which the whole weight of a body or system is supposed to be concentrated, which means the whole weight of the body or system works through this point. It is closely related to mass distribution. For all positions of the body, the center of gravity would be a single point.

Question

For the shaded region shown, determine the
following using vertical strip:
a. Area
X= 2y -3
4
b. First moment of the shaded area with
respect to x-axis
c. First moment of the shaded area with
respect to y-axis
d. Centroid (x, ỹ)
2
1
-1
-1 0 1 2 3 4 5
Answer: Area = 343/48 units?; Q, = 2401/240
units3; Qy = 1029/64 units; (x, y)= (9/4, 7/5)
5.
3.

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