Please show all work and answers. If not ALL then please answer ones in RED. Thank you.

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter9: Moments And Products Of Inertia Of Areas
Section: Chapter Questions
Problem 9.78P: The L806010-mm structural angle has the following cross-sectional properties:...
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1. Please show all work and answers. If not ALL then please answer ones in RED. Thank you.

Compute the coordinates of the centroid (E, 9) of the area shown. Also compute the area moment of
intertia about the a' and y' axes with origin at the centroid.
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
27 cm
14 cm
39 cm
The z coordinate of the centroid is =
34
cm.
The y coordinate of the centroid is ỹ
45.58
cm.
The moment of inertia about the z' axis going through the centroid is Iz
1009497
x cm*.
=
The moment of inertia about the y' axis going through the centroid is Iy
1009497
X cm*.
+
Transcribed Image Text:Compute the coordinates of the centroid (E, 9) of the area shown. Also compute the area moment of intertia about the a' and y' axes with origin at the centroid. 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 27 cm 14 cm 39 cm The z coordinate of the centroid is = 34 cm. The y coordinate of the centroid is ỹ 45.58 cm. The moment of inertia about the z' axis going through the centroid is Iz 1009497 x cm*. = The moment of inertia about the y' axis going through the centroid is Iy 1009497 X cm*. +
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