PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Chapter 10, Problem 4FP
Determine the moment of inertia of the shaded area about the y axis.
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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.
-0.80h
Answers:
lx = i
ly= i
lo = i
0.67h
-0.80h
h4
h4
h4
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
Chapter 10 Solutions
PEARSON ETEXT ENGINEERING MECH & STATS
Ch. 10 - Determine the moment of inertia of the shaded area...Ch. 10 - Determine the moment of inertia of the shaded area...Ch. 10 - Determine the moment of inertia of the shaded area...Ch. 10 - Determine the moment of inertia of the shaded area...Ch. 10 - Determine the moment of inertia of tire area about...Ch. 10 - Prob. 13PCh. 10 - Prob. 21PCh. 10 - Determine the moment of inertia of the beams...Ch. 10 - Prob. 6FPCh. 10 - Prob. 7FP
Ch. 10 - Prob. 8FPCh. 10 - Determine the moment of inertia of the composite...Ch. 10 - Determine the moment of inertia of the composite...Ch. 10 - Prob. 29PCh. 10 - Determine the moment of inertia for the beams...Ch. 10 - Determine the moment of inertia for the beams...Ch. 10 - Prob. 36PCh. 10 - Prob. 42PCh. 10 - Prob. 43PCh. 10 - Prob. 44PCh. 10 - Prob. 45PCh. 10 - Prob. 50PCh. 10 - Determine the moment of inertia for the beams...Ch. 10 - Prob. 52PCh. 10 - Prob. 53PCh. 10 - Prob. 54PCh. 10 - Prob. 57PCh. 10 - Prob. 58PCh. 10 - Prob. 66PCh. 10 - Prob. 67PCh. 10 - Prob. 84PCh. 10 - Prob. 85PCh. 10 - Prob. 87PCh. 10 - Determine the moment of inertia of the homogenous...Ch. 10 - Determine the moment of inertia of the...Ch. 10 - Prob. 90PCh. 10 - The concrete shape is formed by rotating the...Ch. 10 - The right circular cone is formed by revolving the...Ch. 10 - The pendulum consists of a 8-kg circular disk A, a...Ch. 10 - Determine the moment of inertia Ix of the frustum...Ch. 10 - Prob. 100PCh. 10 - Prob. 101PCh. 10 - Prob. 103PCh. 10 - Prob. 104PCh. 10 - Prob. 105PCh. 10 - Prob. 106PCh. 10 - Prob. 107PCh. 10 - Prob. 108PCh. 10 - Prob. 109PCh. 10 - Prob. 5RP
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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. -0.56h Answers: 1x = i ly= i lo= i 0.60h -0.56h h h4 h4 hearrow_forwardDetermine 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 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_forward
- Determine the moment of inertia and the radius of gyration of the shaded area shown with respect to the x 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. -0.57h -0.57h 0.59h h Answers: Ix = h4 Iy = h4 Io = h4arrow_forwardDetermine the moment of inertia of the shaded area with respect to the y axis.arrow_forward
- Determine 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_forwardDetermine by direct integration the moment of inertia of the shaded area with respect to the y axis.arrow_forwardDetermine the moment of inertia of the shaded area about the y-axis. 3" 11" 12" Parabolic Answer: ly = 1 in.4arrow_forward
- Determine the moment of Inertia about given x and y axis in the following figure if a = 10 mm.arrow_forwardDetermine 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_forwardDo it neatly pleasearrow_forward
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