You have been asked to find the centroid of a shape (left picture). First you use integrals to get the exact answer. Then, to check your results, you approximate the shape (middle picture). You can see the approximate shape and the actual shape together in the picture on the right. How do you expect your results to compare for y_bar? y. bar" is the y-coordinate of the centroid for the shape. Actual Shape Approximate Shape Approximation One on top of the other Oy bar for the approximate shape will be less than the actual shape O v.bar for the approximate shape will be greater than the actual shape Oy, bar for the approximate shape will be the same as the actual shape

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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You have been asked to find the centroid of a shape (left picture). First you use integrals to get
the exact answer. Then, to check your results, you approximate the shape (middle picture). You
can see the approximate shape and the actual shape together in the picture on the right.
How do you expect your results to compare for y_bar?
y. bar" is the y-coordinate of the centroid for the shape.
Actual Shape
Approximate Shape
Approximation
One on top of the other
Oy bar for the approximate shape will be less than the actual shape
O y bar for the approximate shape will be greater than the actual shape
Oy, bar for the approximate shape will be the same as the actual shape
Transcribed Image Text:You have been asked to find the centroid of a shape (left picture). First you use integrals to get the exact answer. Then, to check your results, you approximate the shape (middle picture). You can see the approximate shape and the actual shape together in the picture on the right. How do you expect your results to compare for y_bar? y. bar" is the y-coordinate of the centroid for the shape. Actual Shape Approximate Shape Approximation One on top of the other Oy bar for the approximate shape will be less than the actual shape O y bar for the approximate shape will be greater than the actual shape Oy, bar for the approximate shape will be the same as the actual shape
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