Chapter 10, Problem 75P

Determine the moment of inertia with respect to the x and y axes of the solid formed by revolving y=x2 and x=y2  about x=1. Show complete solution witn graph and strips.

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. y -0.71h -0.71h 0.69h Answers: Ix = i ! h4 ly i h4 lo = i h4

DETERMINE THE MOMENT OF INERTIA USING THE GIVEN X-AXIS OF THE SHADED COMPOSITE AREA AND STRUCTUCTURAL BUILT-UP SECTION.

Determine the percent reductions in both area and area moment of inertia about the y-axis caused by removal of the rectangular cutout from the rectangular plate of base b and height h. y 0.24h 0.24h -0.60b- b Answers: Percent reduction in area NA = i Percent reduction in area % nly moment of inertia

Determine the percent reductions in both area and area moment of inertia about the y-axis caused by removal of the rectangular cutout from the rectangular plate of base b and height h. 0.24h h 0.24h x- -0.68b- b Answers: Percent reduction in area nA = i % Percent reduction in area nly i moment of inertia

Determine the moment of inertia of the homogenous triangular prism with respect to the y axis. Hint: For integration, use thin plate elements parallel to the x-y plane having a thickness of dz. Express your answer in terms of the variables a, b, h, and m.

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

The variable h designates the arbitrary vertical location of the center of the circular cutout within the semicircular area. Determine the area moment of inertia about the x-axis for (a) h = 0 and (b) h = 4 in. y 3" 12" h LL Amswers: (a) h = 0 in.4 (b) h = 4 in. Ix= i in.4

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.