INTERNATIONAL EDITION---Engineering Mechanics: Statics, 14th edition (SI unit)
14th Edition
ISBN: 9780133918922
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 10.7, Problem 70P
To determine
The moments of inertia
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1-2. Calculate the coordinates of the centroids of these shapes in terms of a and h.
y=mx
y=kx2
ans: (a/2, 2h/5)
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y
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ans: (2a/5, 4h/7)
h
x
2.
Determine the centroid C(3,5)
the shaded region bounded
of
by ly-20)- 16X, and the axes
determine the centroid of the surface
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3m-
5m
y
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Chapter 10 Solutions
INTERNATIONAL EDITION---Engineering Mechanics: Statics, 14th edition (SI unit)
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 - Determine the moment of inertia about the x axis.Ch. 10.3 - Determine the moment of inertia about the y axis.Ch. 10.3 - Determine the moment of inertia for the shaded...Ch. 10.3 - Determine the moment of Inertia for the shaded...Ch. 10.3 - Determine the moment of inertia for the shaded...Ch. 10.3 - Determine the moment of inertia for the shaded...
Ch. 10.3 - Determine the moment of inertia for the shaded...Ch. 10.3 - Determine the moment of inertia for the shaded...Ch. 10.3 - Solve the problem in two ways, using rectangular...Ch. 10.3 - Determine the moment of inertia of the area about...Ch. 10.3 - Determine the moment of inertia for the shaded...Ch. 10.3 - Determine the moment of inertia for the shaded...Ch. 10.3 - Determine the moment of inertia about the x axis.Ch. 10.3 - Determine the moment of inertia about the y axis.Ch. 10.3 - Determine the moment of inertia for the shaded...Ch. 10.3 - Determine the moment of inertia for the shaded...Ch. 10.3 - Determine the moment of inertia for the shaded...Ch. 10.3 - Determine the moment of inertia for the shaded...Ch. 10.3 - Determine the moment of inertia for the shaded...Ch. 10.3 - Determine the moment of inertia for the shaded...Ch. 10.3 - Determine the moment of inertia for the shaded...Ch. 10.3 - Determine the moment of inertia for the shaded...Ch. 10.3 - Prob. 23PCh. 10.3 - Determine the moment of inertia for the shaded...Ch. 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 - The moment of inertia about the y axis is 264...Ch. 10.4 - Determine the location y of the centroid of the...Ch. 10.4 - Determine,y, which locates the centroidal axis x...Ch. 10.4 - Determine the moment of inertia for the beams...Ch. 10.4 - Determine the moment of inertia for the beams...Ch. 10.4 - Determine the moment of inertia Ix of the shaded...Ch. 10.4 - Determine the moment of inertia Ix of the shaded...Ch. 10.4 - Determine the moment of inertia of the beams...Ch. 10.4 - Determine, g, which locates the centroidal axis z...Ch. 10.4 - Determine the moment of inertia about the x axis.Ch. 10.4 - Prob. 37PCh. 10.4 - Determine the moment of inertia of the shaded area...Ch. 10.4 - Determine the moment of inertia of the shaded area...Ch. 10.4 - Prob. 40PCh. 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 for the shaded...Ch. 10.4 - Determine the moment of inertia for the shaded...Ch. 10.4 - Determine the moment of inertia of the...Ch. 10.4 - Determine the moment of inertia of the...Ch. 10.4 - Prob. 50PCh. 10.4 - Determine the moment of inertia for the beams...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. 10.7 - Determine the product of inertia of the thin strip...Ch. 10.7 - Determine the product of inertia of the shaded...Ch. 10.7 - Determine the product of inertia for the shaded...Ch. 10.7 - Determine the product of inertia of the shaded...Ch. 10.7 - Determine the product of inertia for the parabolic...Ch. 10.7 - Prob. 59PCh. 10.7 - Determine the product of inertia of the shaded...Ch. 10.7 - Prob. 61PCh. 10.7 - Prob. 62PCh. 10.7 - Prob. 63PCh. 10.7 - Determine the product of inertia for the beams...Ch. 10.7 - Determine the product of inertia tor the shaded...Ch. 10.7 - Determine the product of inertia of the cross...Ch. 10.7 - Determine the location (xy) to the centroid C of...Ch. 10.7 - For the calculation, assume all comers to be...Ch. 10.7 - Determine the moments of inertia Iu, Iv and the...Ch. 10.7 - Prob. 70PCh. 10.7 - using Mohrs circle Hint. To solve find the...Ch. 10.7 - Prob. 72PCh. 10.7 - using Mohrs circle.Ch. 10.7 - Prob. 74PCh. 10.7 - using Mohrs circle.Ch. 10.7 - Prob. 76PCh. 10.7 - using Mohrs circle.Ch. 10.7 - Prob. 78PCh. 10.7 - using Mohrs circle.Ch. 10.7 - Prob. 80PCh. 10.7 - Solve Prob. 10-80 using Mohrs circle.Ch. 10.7 - Prob. 82PCh. 10.7 - Solve Prob. 10-82 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 - Determine the radius of gyration kx of the...Ch. 10.8 - Prob. 87PCh. 10.8 - Hint: For integration, use thin plate elements...Ch. 10.8 - The material has a constant density .Ch. 10.8 - Prob. 90PCh. 10.8 - Determine the moment of inertia Iy. The specific...Ch. 10.8 - Prob. 92PCh. 10.8 - Prob. 93PCh. 10.8 - The total mass of the solid is 1500 kg.Ch. 10.8 - The slender rods have a mass of 4 kg/ point A....Ch. 10.8 - and a 4-kg slender rod. Determine the radius of...Ch. 10.8 - The material has a density of 200kg/m3. Prob....Ch. 10.8 - Determine the location y of the center of mass G...Ch. 10.8 - Prob. 99PCh. 10.8 - The pendulum consists of a plate having a weight...Ch. 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 - Prob. 103PCh. 10.8 - Determine its mass moment of inertia about the y...Ch. 10.8 - Prob. 105PCh. 10.8 - Prob. 106PCh. 10.8 - Prob. 107PCh. 10.8 - The thin plate has a mass of 12 kg/m2. Determine...Ch. 10.8 - The material has a density of 200kg/m3.Ch. 10.8 - Determine the moment of inertia for the shaded...Ch. 10.8 - Determine the moment of inertia for the shaded...Ch. 10.8 - Determine the area moment of inertia of the shaded...Ch. 10.8 - Prob. 4RPCh. 10.8 - Determine the area moment of inertia of the...Ch. 10.8 - Determine the product of inertia of the shaded...
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- determine the centroid of the surface given in the figure and its static moment against the X and Y axes of the coordinate system 4m y 2m Xarrow_forward5/19 Determine the y-coordinate of the centroid of the shaded area. = ky?arrow_forward3. Locate the centroid of the plane area/line. Express answer in terms of a and b. y =arrow_forward
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