Chapter 10, Problem 24P

​​​​​​​Determine the moments of inertia about the centroid of the shape

please show all you work thank you

build the Mohr circles of the axes that pass through the origin and the centroid, showing the moments, products of inertia and the angles

Determine the distance h for which the moment of inertia of the region shown about the x-axis will be as small as possible.

The shaded area has the following properties: 4 = 126 x10 mm* ; 1, = 6,55 x10* mm* ; and Pay =-1.02 10° mm* Determine the moments of inertia of the area about the x' and v' axes if e=30°.

Determine the moments of inertia of the shaded area about the x- and y-axes. Also determine the polar moment of inertia about point O. -0.80h Answers: lx = i ly= i lo = i 0.67h -0.80h h4 h4 h4

3. Determine the moment of inertia with respect to the x-x and y-y centroidal axes for the following figure: Objects are Cen tured E3.5" 2"

Determine the location of centroidal x and y and the moment of inertia Ix of the figure shown. Use the parallel axis theorem.  Where B = 9, and Y = 82

H6. Find the position of the cross-section’s centroid. Then, determine the moments of inertia of horizontal & vertical axes through the centroid.   (I'm not sure if the width of the verticle rectangle is needed or not. If it is, assume 5 mm.)