PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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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.
The density of the material is 7.85 Mg / m3.
Determine the mass moment of inertia of the assembly about the z axis.
The slender bar lies in the x-y plane. Its mass is 6 kg and the material is homogeneous. Use integration to determine its moment of inertia about the z-axis
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- Determine the mass moment of inertia of the figure shown about the x,y, and z axis. The materials weighs 60 kN/meter cubearrow_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_forward1. 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_forward
- The 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_forwardThe 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_forwardDetermine 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_forward
- A) Determine the position of the center of gravity of the figure's structure. B)Determine the moment of inertia of mass with respect to the x' axis that passes through the structure's center of gravity and is parallel to the x axis. The cone has a density of 600 kg/m3 and the cylinder a density of 800 kg/m3. Consider H = 83arrow_forwardThe 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_forwardThe uniform rod of length 4b and mass m is bent into the shape shown. The diameter of the rod is small compared with its length. Determine the moments of inertia of the rod about the three coordinate axes. Use the values m = 9.7 kg and b = 650 mm. Answers: Ixx = i lyy= Izz i i kg-m² kg.m² kg.m²arrow_forward
- 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.arrow_forwardGiven the thin square plate: Determine mass moment of inertia:arrow_forwardDetermine the moment of inertia with respect to the line y = 2 for the area enclosed by the ellipse whose equation is (x^2/16)+(y^2/4)=1.arrow_forward
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