Chapter 10, Problem 37P

Determine the moment of Inertia about given x and y axis in the following figure if a = 10 mm.

Calculate moment of inertia of the shape shown with respect to the x axis where a=0.8 in, b= 1.5 in. and r= 1.2 in. lx= in4 2 b X

Find the moment of inertia about centroidal X-axis and centroidal Y-axis of the given geometry .

Determine the moments of inertia of the shaded area with respect to the x and y axes. use a horizontal differential element of thickness for both calculations.

Determine the moment of inertia and the radius of gyration of the shaded area shown with respect to the x axis.

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 ✔

Find the moment of inertia around Y axis (ly) for the next figure. K b a y=(b/a) x

Find the moment of inertia about centroidal X-axis and centroidal Y-axis of the given geometry Figure.

1. Determine the moment of inertia about an axis perpendicular to the page and passing through the pin at 0. The thin plate has a hole in its center. Its thickness is 50 mm, and the material has a density of p = 60 kg/m³. What is the radius of gyration about this point? 150 mm 1.40 m 1.40 m