Engineering Mechanics: Statics
13th Edition
ISBN: 9780132915540
Author: Russell C. Hibbeler
Publisher: Prentice Hall
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Textbook Question
Chapter 10.8, Problem 99P
15 lb. and 20 lb, respectively, determine the mass moment of inertia of the wheel about an axis perpendicular to the page and passing through point A.
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3. If the large ring, small ring, and each spoke weigh 90 lb,
20 lb, and 15 lb respectively. Find the mass moment of
inertia of an axis that extends perpendicular to the page
and passes through point A.
✔ S.W. O
1 ft-
4 ft
The slender rods have a mass of 8 kg/m . Suppose that a = 150 mm and b = 250 mm .
Determine the moment of inertia of the assembly about an axis perpendicular to the page and passing through point A.
Express your answer to three significant figures and include the appropriate units.
The 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.m²
Chapter 10 Solutions
Engineering Mechanics: Statics
Ch. 10.3 - Determine the moment of inertia of the shaded area...Ch. 10.3 - Determine the moment of inertia of the shaded area...Ch. 10.3 - Determine the moment of inertia of the shaded area...Ch. 10.3 - Determine the moment of inertia of the shaded area...Ch. 10.3 - Prob. 1PCh. 10.3 - Prob. 2PCh. 10.3 - Prob. 3PCh. 10.3 - Prob. 4PCh. 10.3 - Prob. 5PCh. 10.3 - Prob. 6P
Ch. 10.3 - Prob. 7PCh. 10.3 - Prob. 8PCh. 10.3 - Determine the moment of inertia of the area about...Ch. 10.3 - Solve the problem in two ways, using rectangular...Ch. 10.3 - Prob. 11PCh. 10.3 - Prob. 12PCh. 10.3 - Prob. 13PCh. 10.3 - Prob. 14PCh. 10.3 - Prob. 15PCh. 10.3 - Prob. 16PCh. 10.3 - Prob. 17PCh. 10.3 - Prob. 18PCh. 10.3 - Prob. 19PCh. 10.3 - Prob. 20PCh. 10.3 - Prob. 21PCh. 10.3 - Prob. 22PCh. 10.3 - Prob. 23PCh. 10.3 - Prob. 24PCh. 10.4 - Determine the moment of inertia of the beams...Ch. 10.4 - Determine the moment of inertia of the beams...Ch. 10.4 - Determine me moment of inertia of the...Ch. 10.4 - Determine the moment of inertia of the...Ch. 10.4 - Determine the moment of inertia of the composite...Ch. 10.4 - Determine the moment of inertia of the composite...Ch. 10.4 - Prob. 27PCh. 10.4 - Prob. 28PCh. 10.4 - Prob. 29PCh. 10.4 - Prob. 30PCh. 10.4 - Prob. 31PCh. 10.4 - Prob. 32PCh. 10.4 - Prob. 33PCh. 10.4 - Determine the moment of inertia of the beams...Ch. 10.4 - Determine, g, which locates the centroidal axis z...Ch. 10.4 - Prob. 36PCh. 10.4 - Prob. 37PCh. 10.4 - Prob. 38PCh. 10.4 - Prob. 39PCh. 10.4 - Prob. 41PCh. 10.4 - Determine the moment of inertia of the beams...Ch. 10.4 - Prob. 43PCh. 10.4 - Prob. 44PCh. 10.4 - Determine the distance x to the centroid C of the...Ch. 10.4 - Determine the moment of inertia of the area about...Ch. 10.4 - Determine the moment of inertia of the area about...Ch. 10.4 - Prob. 50PCh. 10.4 - Prob. 51PCh. 10.4 - Determine the moment of inertia of the...Ch. 10.4 - Determine the moment of inertia of the...Ch. 10.7 - Determine the product of inertia of the thin strip...Ch. 10.7 - Prob. 55PCh. 10.7 - Determine the product of inertia of the shaded...Ch. 10.7 - Prob. 57PCh. 10.7 - Determine the product of inertia of the shaded...Ch. 10.7 - Prob. 59PCh. 10.7 - Prob. 60PCh. 10.7 - Prob. 62PCh. 10.7 - Determine the product of inertia for the beams...Ch. 10.7 - Prob. 64PCh. 10.7 - Prob. 65PCh. 10.7 - Determine the product of inertia of the cross...Ch. 10.7 - Prob. 67PCh. 10.7 - For the calculation, assume all comers to be...Ch. 10.7 - Prob. 69PCh. 10.7 - Prob. 70PCh. 10.7 - Prob. 71PCh. 10.7 - Prob. 72PCh. 10.7 - Prob. 73PCh. 10.7 - Prob. 74PCh. 10.7 - Prob. 75PCh. 10.7 - Prob. 76PCh. 10.7 - Prob. 77PCh. 10.7 - Prob. 78PCh. 10.7 - Prob. 79PCh. 10.7 - Prob. 80PCh. 10.7 - Prob. 81PCh. 10.7 - Prob. 82PCh. 10.7 - using Mohrs circle.Ch. 10.8 - Determine the moment of inertia of the thin ring...Ch. 10.8 - The material has a constant density .Ch. 10.8 - Prob. 86PCh. 10.8 - Determine the radius of gyration kx of the...Ch. 10.8 - The material has a constant density .Ch. 10.8 - Hint: For integration, use thin plate elements...Ch. 10.8 - Prob. 90PCh. 10.8 - Prob. 91PCh. 10.8 - Determine the moment of inertia Iy. The specific...Ch. 10.8 - Prob. 93PCh. 10.8 - The total mass of the solid is 1500 kg.Ch. 10.8 - Prob. 95PCh. 10.8 - Prob. 96PCh. 10.8 - Determine the location y of the center of mass G...Ch. 10.8 - Prob. 98PCh. 10.8 - 15 lb. and 20 lb, respectively, determine the mass...Ch. 10.8 - The density of the material is 7.85 Mg/m3.Ch. 10.8 - The material has a density of 200kg/m3. Prob....Ch. 10.8 - The pendulum consists of a plate having a weight...Ch. 10.8 - Prob. 103PCh. 10.8 - The material has a density of 200kg/m3.Ch. 10.8 - Prob. 105PCh. 10.8 - Determine its mass moment of inertia about the y...Ch. 10.8 - Prob. 107PCh. 10.8 - Prob. 108PCh. 10.8 - Prob. 109PCh. 10.8 - Determine the moment of inertia for the shaded...Ch. 10.8 - Prob. 111RPCh. 10.8 - Determine the product of inertia of the shaded...Ch. 10.8 - Determine the area moment of inertia of the...Ch. 10.8 - Determine the area moment of inertia of the shaded...Ch. 10.8 - Determine the moment of inertia for the shaded...Ch. 10.8 - Prob. 117RPCh. 10.8 - Prob. 119RP
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- Determine the moment of inertia of the wheel about an axis which is perpendicular to the page and passes through point O. The material has a specific weight of 90 lb/ft3.arrow_forwardROBLEM NO.5 Determine the location y of the center of mass G of the assembly and then calculate the moment of inertia about an axis perpendicular to the page and passing through G. The block has a mass of 3 kg and the semi-cylinder has a mass of 5 kg. 400 mm 300 mm 200 mm MacBook Airarrow_forwardFormulas 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_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_forward2. Determine the mass moment of Inertia of the steel bracket about the z-axis which passes through the midline of the base. 3" 2" 6 -1" 1.5 1.5"arrow_forwardplease show all you work thank youarrow_forward
- 2. Determine the mass moment of inertia for the following rigid bodies about an axis at its center orthogonal to the page.arrow_forwardDetermine the moment of inertia and radius of gyration of the shaded area shown with respect to the y axis.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 the center of mass G.arrow_forward
- The wheel consists of a thin ring having a mass of 10 kg and four spokes made from slender rods, each having a mass of 2 kg. Determine the wheel’s moment of inertia about an axis perpendicular to the page and passing through point A.arrow_forward3.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 = 7.9 kg and b = 485 mm. Answers: 1xxx = i lyy= i Izz = i kg.m² kg-m² kg-m²arrow_forward
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