MOD.MASTER.W/ETEXT ENG.MECHANICS CARD+BK
15th Edition
ISBN: 9780137519170
Author: HIBBELER
Publisher: PEARSON
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Chapter 10, Problem 87P
To determine
The moment of inertia about the
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The paraboloid is formed by revolving the shaded area around the x axis. The material has a constant density ρ.
Determine the moment of inertia about the x axis and express the result in terms of the total mass m of the paraboloid.
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Determine the moment of inertia of the composite figure about the centroidal x and y axis.
Chapter 10 Solutions
MOD.MASTER.W/ETEXT ENG.MECHANICS CARD+BK
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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- 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 marrow_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_forwardThe pendulum is suspended from point O and consists of two bars, each weighing 10 lb. Determine the moment of inertia of the pendulum about the axis through pin O.arrow_forward
- Determine the moment of inertial about an axis perpendicular to the page and passing through the pin at O. The thin plate has a hole in its center. Its thickness is 50 mm and the material has a density of ρ = 50 kg/m^3arrow_forwardLocate the centroid y¯ of the channel's cross-sectional area. Then determine the moment of inertia with respect to the x′ axis passing through the centroid. Take that a = 2.2 in.arrow_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 illustrated body is fabricated from steel and has a density of ρst = 7850 kg/m3. Determine the mass moment of inertia with respect to the y-axis?arrow_forwardThe slender rods have a mass of 59 Kg/m. Determine the moment of inertia of the assembly about an axis perpendicular to the page and passing through point A. 2 m 1m 1.5 m 1.5 marrow_forwardDetermine the moment of inertia about a centroidal axis parallel to the base of the composite area.arrow_forward
- Formulas Moments of Inertia x= [y²d ly = fx²dA Theorem of Parallel Axis Ixr = 1 + d² A * axis going through the centroid x' axis parallel to x going through the point of interest d minimal distance (perpendicular) between x and x' ly₁ = 15+d²A ỹ axis going through the centroid y' axis parallel to y going through the point of interest d minimal distance (perpendicular) between y and y' Composite Bodies 1=Σ 4 All the moments of inertia should be about the same axis. Radius of Gyration k=arrow_forwardObtain the moment of inertia of the composite area about the specified x and y axesarrow_forwardDetermine the moment of inertia about the x axis.arrow_forward
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