EBK ENGINEERING MECHANICS
15th Edition
ISBN: 9780137616909
Author: HIBBELER
Publisher: VST
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Chapter 21, Problem 3P
To determine
The moment of inertia of the solid formed by revolving the shaded area around the
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1. Determine the moment of inertia about an axis perpendicular to the page and passing through
the pin at 0. The thin plate has a hole in its center. Its thickness is 50 mm, and the material has a
density of p = 60 kg/m³. What is the radius of gyration about this point?
150 mm
1.40 m
1.40 m
The thick plate consists of steel with a density of density = 15 slug /ft^3. Determine the moment of inertia of the plate about the z-axis shown in the figure and express it in slug ∗ ft^2.
Determine the moment of inertia for the shaded area about
the x axis.
y =
Chapter 21 Solutions
EBK ENGINEERING MECHANICS
Ch. 21 - Show that the sum of the moments of inertia of a...Ch. 21 - Prob. 2PCh. 21 - Prob. 3PCh. 21 - Determine the moments of inertia Ix and Iy of the...Ch. 21 - Prob. 5PCh. 21 - Determine by direct integration the product of...Ch. 21 - Prob. 9PCh. 21 - Prob. 10PCh. 21 - Determine the moment of inertia Ixx of the...Ch. 21 - Prob. 13P
Ch. 21 - Prob. 14PCh. 21 - Prob. 15PCh. 21 - The bent rod has a weight of 1.5 lb/ft. Locate the...Ch. 21 - If a body contains no planes of symmetry, the...Ch. 21 - Prob. 23PCh. 21 - Prob. 25PCh. 21 - Prob. 28PCh. 21 - Prob. 29PCh. 21 - Prob. 30PCh. 21 - The 2-kg thin disk is connected to the slender rod...Ch. 21 - Prob. 33PCh. 21 - Prob. 36PCh. 21 - Prob. 37PCh. 21 - Prob. 40PCh. 21 - Prob. 41PCh. 21 - Prob. 42PCh. 21 - Prob. 48PCh. 21 - Prob. 51PCh. 21 - Prob. 54PCh. 21 - Show that the angular velocity of a body, in terms...Ch. 21 - A thin rod is initially coincident with the Z axis...Ch. 21 - The top consists of a thin disk that has a weight...Ch. 21 - Prob. 66PCh. 21 - Prob. 69PCh. 21 - Prob. 70PCh. 21 - Prob. 73PCh. 21 - Prob. 74PCh. 21 - Prob. 77P
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- Determine the moment of inertia of the area bound by the two curves about the x and y axis.arrow_forwardDetermine the moment of Inertia Ix (mm4) about the x-axis. Given: X1 = 1.6 mm x2 = 8 mm Y₁ = 1.8 mm Y2 = 9 mm X₂ X₁ У1 Y₂ Xarrow_forwardDetermine the moment of inertia about an axis perpendicular to the pageand passing through the pin at O. The thin plate has a hole in its center. Its thicknessis 50 mm, and the material has a density ⍴ = 75 kg/m3arrow_forward
- The variable h designates the arbitrary vertical location of the bottom of the rectangular cutout within the rectangular area. Determine the area moment of inertia about the x-axis for (a) h = 110 in. and (b) h = 125 in.arrow_forwardDetermine the moment of inertia of the thin plate about an axis perpendicular to the page and passing through the pin at O. The plate has a hole in its center. Its thickness is 50 mm and the material has a density of 50 kg/m^3arrow_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_forward
- Determine the moment of inertia of the solid steel assembly about the x axis. Steel has a specific weight of 0.25 ft 0.5 ft Yu - 490 Ib/.arrow_forwardDetermine the moment of inertia of the area about 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. -0.80h Answers: lx = i ly= i lo = i 0.67h -0.80h h4 h4 h4arrow_forward
- Determine the moment of inertia about the x axis.arrow_forwardThe homogeneous thin plate has mass m = 12Kg and dimensions b=2m and h=1m. Determine the moments of inertia of the plate about the x and y axes.arrow_forwardDetermine the moment of inertia of the solid steel assembly about the x-axis. The specific weight of steel is Yst = 488 lb/ft3. 0.25 pie -2 pies- 3 pies ļ 0.5 pie Xarrow_forward
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moment of inertia; Author: NCERT OFFICIAL;https://www.youtube.com/watch?v=A4KhJYrt4-s;License: Standard YouTube License, CC-BY