PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Determine the moment of inertia of the shaded area with respect to the y axis.
Determine the moment of inertia and the radius of gyration of the shaded area with respect to the
x-axis. Given: r = 79 mm.
125 mm
125 mm -
250 mm
The moment of inertia is
The radius of gyration is
*106 mm4.
mm.
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.
-0.58h
-0.58h
0.63h
h
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- The moments of inertia of the plane region about the x- and u-axes are Ix=0.4ft4 and Iu=0.6ft4, respectively. Determine y (the y-coordinate of the centroid C) and Ix (the moment of inertia about the centroidal x-axis).arrow_forwardThe moment of inertia of the plane region about the x-axis and the centroidal x-axis are Ix=0.35ft4 and Ix=0.08in.4, respectively. Determine the coordinate y of the centroid and the moment of inertia of the region about the u-axis.arrow_forwardDetermine the moments of inertia of the shaded area about the x- and y-axes. Also determine the polar moment of inertia about point O. -0.56h Answers: 1x = i ly= i lo= i 0.60h -0.56h h h4 h4 hearrow_forward
- Determine the moment of inertia of the area about: A. the x-axis B. the y-axis Hint: See Appendix A for the textbook for common integral solutions. 9 in. 3 in. y=9-x² Xarrow_forwardDetermine 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 h4arrow_forwardDetermine the moment of inertia about the y-axis of the shaded area of the figure shown:*arrow_forward
- Determine the moment of inertia of a triangle of base "b" and altitude "h" with respect to an axis through the apex parallel to the base. h-y h dyarrow_forwardDetermine the moment of inertia and the radius of gyration of the shaded area shown with respect to the x axis.arrow_forwardDetermine the moment of inertia of the shaded area about the x-axis in two different ways. 3.0a fa Answer: Ix = i a4arrow_forward
- Determine the moment of inertia and the radius of gyration of the shaded area with respect to the x-axis. Given: a = 11.4 mm. 8 mm- 24 mm -24 mm 6 mm 24 mm 24mm The moment of inertia is The radius of gyration is 6 mm 10³ mm4. mm.arrow_forwardplease show all you work thank youarrow_forwardDetermine the moments of inertia of the shaded area about the x- and y-axes. Also determine the polar moment of inertia about point O. -0.57h -0.57h 0.59h h Answers: Ix = h4 Iy = h4 Io = h4arrow_forward
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