Find the center of mass, the moment of inertia about the coordinate axes, and the polar moment of inertia of a thin triangluar plate bounded by the lines y = x, y = -x, and y= 2 if 8(x,y) = 5y +3. What are the coordinates for the center of mass? The center of mass is the point (Type an ordered pair. Type an integer or a simplified fraction.) What is the moment of inertia about the coordinate axes? =(Type an integer or a simplified fraction.) y = (Type an integer or a simplified fraction.) What is the polar moment of inertia? o =(Type an integer or a simplified fraction.) %3D

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter11: Dynamics Of Rigid Bodies
Section: Chapter Questions
Problem 11.31P
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Find the center of mass, the moment of inertia about the coordinate axes, and the
polar moment of inertia of a thin triangluar plate bounded by the lines y = x,
y = - X, and y =2 if 8(x,y) = 5y+ 3.
What are the coordinates for the center of mass?
The center of mass is the point
(Type an ordered pair. Type an integer or a simplified fraction.)
What is the moment of inertia about the coordinate axes?
y =(Type an integer or a simplified fraction.)
y=(Type an integer or a simplified fraction.)
What is the polar moment of inertia?
o = (Type an integer or a simplified fraction.)
Transcribed Image Text:Find the center of mass, the moment of inertia about the coordinate axes, and the polar moment of inertia of a thin triangluar plate bounded by the lines y = x, y = - X, and y =2 if 8(x,y) = 5y+ 3. What are the coordinates for the center of mass? The center of mass is the point (Type an ordered pair. Type an integer or a simplified fraction.) What is the moment of inertia about the coordinate axes? y =(Type an integer or a simplified fraction.) y=(Type an integer or a simplified fraction.) What is the polar moment of inertia? o = (Type an integer or a simplified fraction.)
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