10–13. Determine the moment of inertia of the area about the x axis. Solve the problem in two ways, using rectangular differential elements: (a) having a thickness of dx, and (b) having a thickness of dy.

ID t X Compute the area moment of intertia about the x and y axes shown in the figure (the origin is located at the centroid). Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value ID 9.5 in t 1.2 in The moment of inertia about the x axis is I x = in4. The moment of inertia about the in4. У axis is Iy =

Determine the moment of inertia for the shaded area about the x-axis. Express your answer to three significant figures and include the appropriate units. Look at the images for the needed figure and details to answer the question. y_1=x m y_2=2.1x m^2

4) 10–6. Determine the moment of inertia for the shaded area about the y axis. y =x!/2_ 1 m -1 m

Determine the moment of inertia about the x-axis of the rectangular area without and with the central rectangular hole.

For the cross section below: -Draw how to divide the cross section in to its composite parts. -Determine moment of inertia of this cross section about the (x- axis) Ix , show detailed solution steps till final result.  -Find the radius of gyration kx .

I got 316.95 and that was incorrect.

Find the moment of inertia for the cross-sectional shape about the x and y axes, given the function:   y = 3·x2  and  L = 2 mm.

For problem F10-1. Determine the moment of inertia of the shaded area about the x axis.   How do you get the integral of (y^2(1-y^3/2)dy

Compute for the moments of inertia and radius of gyration of the shaded area with respect to the x – y axes. (Show the table with complete solution)