Engineering Mechanics: Statics
13th Edition
ISBN: 9780132915540
Author: Russell C. Hibbeler
Publisher: Prentice Hall
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Chapter 10.4, Problem 7FP
Determine me moment of inertia of the cross-sectional area or the channel with respect to the y axis.
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Problem4.
The thin uniform disk of mass m = 1-kg and radius R = 0.1m spins about the bent shaft OG with
the angular speed w2 = 20 rad/s. At the same time, the shaft rotates about the z-axis with the angular
speed 001 = 10 rad/s. The angle between the bent portion of the shaft and the z-axis is ẞ = 35°. The
mass of the shaft is negligible compared to the mass of the disk.
a. Find the angular momentum of the disk with respect to point G, based on the axis
orientation as shown. Include an MVD in your solution.
b. Find the angular momentum of the disk with respect to point O, based on the axis
orientation as shown. (Note: O is NOT the center of fixed-point rotation.)
c. Find the kinetic energy of the assembly.
z
R
R
002
2R
x
Answer: H = -0.046ĵ-0.040 kg-m²/sec
Ho=-0.146-0.015 kg-m²/sec
T 0.518 N-m
=
Problem 3.
The assembly shown consists of a solid sphere of mass m and the uniform slender rod of the same
mass, both of which are welded to the shaft. The assembly is rotating with angular velocity w at a
particular moment. Find the angular momentum with respect to point O, in terms of the axes
shown.
Answer: Ñ。 = ½mc²wcosßsinßĵ + (}{mr²w + 2mb²w + ½ mc²wcos²ß) k
3
m
r
b
2
C
لا
m
Only question 2
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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