PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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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
Determine the moment of inertia about the x-axis of the shaded area of the figure shown:
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.
-0.56h
Answers:
1x = i
ly= i
lo= i
0.60h
-0.56h
h
h4
h4
he
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- 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.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. -0.58h -0.58h 0.63h harrow_forwardDetermine the moment of inertia and the radius of gyration of the shaded area shown with respect to the x axis.arrow_forward
- Determine the moment of Inertia about given x and y axis in the following figure if a = 10 mm.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. -0.57h -0.57h 0.59h h Answers: Ix = h4 Iy = h4 Io = h4arrow_forwardDetermine 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.arrow_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_forwardDo it neatly pleasearrow_forwardDetermine the moment of inertia about x and y axes for the area bounded by the curves as shown in figure by direct integration method.arrow_forward
- 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 Xarrow_forwardDetermine the moment of inertia of the shaded area with respect to the y axis.arrow_forwardDetermine the moment of inertia with respect to the x and y axes of the area bounded by (y-1)2 =4-2x and the y-axis. Show complete graph and solution with strips.arrow_forward
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