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

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter8: Centroids And Distributed Loads
Section: Chapter Questions
Problem 8.7P: Using integration, locate the centroid of the area under the n-th order parabola in terms of b, h,...
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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.
Transcribed Image Text: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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