Compute the coordinates of the centroid (a, y) of the area shown. Also compute the area moment of intertia about the x' and y' axes with origin at the centroid. b * a a Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 40 cm 23 cm 49 cm The x coordinate of the centroid is a = cm. The y coordinate of the centroid is y cm. The moment of inertia about the x' axis going through the centroid is I cm4. The moment of inertia about the y' axis going through the centroid is I, cm4.

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
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Chapter8: Centroids And Distributed Loads
Section: Chapter Questions
Problem 8.38P: The equation of the catenary shown is y = 100 cosh (x/100) where x and y are measured in feet (the...
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Compute the coordinates of the centroid (x, y) of the area shown. Also compute the area moment of
intertia about the x' and y' axes with origin at the centroid.
C
a *b*a
Values for dimensions on the figure are given in the following table. Note the figure may not be to scale.
Variable
Value
a
40 cm
23 сm
49 cm
The x coordinate of the centroid is x
cm.
The
coordinate of the centroid is y
cm.
The moment of inertia about the x' axis going through the centroid is I,'
cm4.
The moment of inertia about the y' axis going through the centroid is I,"
cm4.
Transcribed Image Text:Compute the coordinates of the centroid (x, y) of the area shown. Also compute the area moment of intertia about the x' and y' axes with origin at the centroid. C a *b*a Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 40 cm 23 сm 49 cm The x coordinate of the centroid is x cm. The coordinate of the centroid is y cm. The moment of inertia about the x' axis going through the centroid is I,' cm4. The moment of inertia about the y' axis going through the centroid is I," cm4.
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