Find the moment finertia about the x-axis of a thin plate bounded by the parabola x = 7y - 3y² and the line x+2y=0 if 8(x,y)=x+2y. Choose the correct sketch of the plate described above. O A. Select the order of integration that will make the computations easier and fill in the limits of integration in your choice. K F(x,y) dx dy OA. F(x,y) dy dx O B. O B. O C. O D. Use the given density function & to write the appropriate integrand F(x,y) for finding the moment of inertia. Then substitute into the correct integral from the previous step and evaluate to find the moment of inertia for the plate. The moment of inertia is (Simplify your answer.) Q

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 9.49P: Determine the dimension b of the square cutout so that Ixy=0 for the region shown.
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Find the moment of inertia about the x-axis of a thin plate bounded by the parabola x = 7y - 3y² and the line x + 2y = 0 if 8(x,y) = x + 2y.
Choose the correct sketch of the plate described above.
O A.
Q
O A. SS F(x,y) dy dx
O B.
OB. F(x,y) dx dy
Q
Select the order of integration that will make the computations easier and fill in the limits of integration in your choice.
G
O C.
O D.
Use the given density function 8 to write the appropriate integrand F(x,y) for finding the moment of inertia. Then substitute into the correct integral from the previous step and evaluate to find the moment of inertia for the plate.
The moment of inertia is
(Simplify your answer.)
Q
Q
✔
Transcribed Image Text:Find the moment of inertia about the x-axis of a thin plate bounded by the parabola x = 7y - 3y² and the line x + 2y = 0 if 8(x,y) = x + 2y. Choose the correct sketch of the plate described above. O A. Q O A. SS F(x,y) dy dx O B. OB. F(x,y) dx dy Q Select the order of integration that will make the computations easier and fill in the limits of integration in your choice. G O C. O D. Use the given density function 8 to write the appropriate integrand F(x,y) for finding the moment of inertia. Then substitute into the correct integral from the previous step and evaluate to find the moment of inertia for the plate. The moment of inertia is (Simplify your answer.) Q Q ✔
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