Vector Mechanics For Engineers
12th Edition
ISBN: 9781259977305
Author: BEER, Ferdinand P. (ferdinand Pierre), Johnston, E. Russell (elwood Russell), Cornwell, Phillip J., SELF, Brian P.
Publisher: Mcgraw-hill Education,
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Chapter B, Problem B.31P
To determine
(a)
The mass moment of inertia of the assembly with respect to
To determine
(b)
The mass moment of inertia of the assembly with respect to
To determine
(c)
The mass moment of inertia of the assembly with respect to
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The machine element shown is fabricated from steel, where h = 64 mm. The density of Steel is
y
40 mm
20 mm-
80 mm
40 mm
20 mm
40 mm
Determine the mass moment of inertia of the assembly with respect to the z axis.
The mass moment of inertia of the assembly with respect to the z axis is
x
10-3 kg-m².
The machine element shown is fabricated from steel, where h = 88 mm. The density of steel is 7850 kg/m3.
40 mm
40 mm
-20 mm
20 mm-
80 mm
40 mm
Determine the mass moment of inertia of the assembly with respect to the x axis.
The mass moment of inertia of the assembly with respect to the x axis is 3 × 103 kg-m2.
Determine the mass moment of inertia of the assembly with respect to the y axis.
10-3 kg-m2.
The mass moment of inertia of the assembly with respect to the y axis is
Determine the mass moment of inertia of the assembly with respect to the z axis.
10-3 kg-m².
The mass moment of inertia of the assembly with respect to the z axis is
The machine element shown is fabricated from steel. Determine the mass moment of inertia of the assembly with respect to (a) the x axis, (b) the y axis. (c) the z axis. (The density of steel is 7850 kg/m3.)
Chapter B Solutions
Vector Mechanics For Engineers
Ch. B - A thin plate with a mass m is cut in the shape of...Ch. B - Prob. B.2PCh. B - Prob. B.3PCh. B - Prob. B.4PCh. B - A piece of thin, uniform sheet metal is cut to...Ch. B - Prob. B.6PCh. B - Prob. B.7PCh. B - Prob. B.8PCh. B - Prob. B.9PCh. B - Prob. B.10P
Ch. B - Prob. B.11PCh. B - Prob. B.12PCh. B - Determine by direct integration the mass moment of...Ch. B - Prob. B.14PCh. B - A thin, rectangular plate with a mass m is welded...Ch. B - A thin steel wire is bent into the shape shown....Ch. B - Prob. B.17PCh. B - Prob. B.18PCh. B - Prob. B.19PCh. B - Prob. B.20PCh. B - Prob. B.21PCh. B - Prob. B.22PCh. B - Prob. B.23PCh. B - Prob. B.24PCh. B - Prob. B.25PCh. B - Prob. B.26PCh. B - Prob. B.27PCh. B - Prob. B.28PCh. B - Prob. B.29PCh. B - Prob. B.30PCh. B - Prob. B.31PCh. B - Determine the mass moments of inertia and the...Ch. B - Prob. B.33PCh. B - Prob. B.34PCh. B - Prob. B.35PCh. B - Prob. B.36PCh. B - Prob. B.37PCh. B - Prob. B.38PCh. B - Prob. B.39PCh. B - Prob. B.40PCh. B - Prob. B.41PCh. B - Prob. B.42PCh. B - Prob. B.43PCh. B - Prob. B.44PCh. B - A section of sheet steel 2 mm thick is cut and...Ch. B - Prob. B.46PCh. B - Prob. B.47PCh. B - Prob. B.48PCh. B - Prob. B.49PCh. B - Prob. B.50PCh. B - Prob. B.51PCh. B - Prob. B.52PCh. B - Prob. B.53PCh. B - Prob. B.54PCh. B - Prob. B.55PCh. B - Determine the mass moment ofinertia of the steel...Ch. B - Prob. B.57PCh. B - Prob. B.58PCh. B - Determine the mass moment of inertia of the...Ch. B - Prob. B.60PCh. B - Prob. B.61PCh. B - Prob. B.62PCh. B - Prob. B.63PCh. B - Prob. B.64PCh. B - Prob. B.65PCh. B - Prob. B.66PCh. B - Prob. B.67PCh. B - Prob. B.68PCh. B - Prob. B.69PCh. B - Prob. B.70PCh. B - For the component described in the problem...Ch. B - Prob. B.72PCh. B - For the component described in the problem...Ch. B - Prob. B.74P
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- inertia of the assembly with respect to (a) the x axis, (b) the y axis, (c) the z axis. (The density of steel is 7850 kg/m³.) The machine element shown is fabricated from steel. Determine the mass moment of 40 mm 40 mm 20 mm 20 mm 80 mm 60 mm 40 mmarrow_forwardDetermine the moments of inertia about the centroidal x-axes of the trapezoidal area. a=147 mm; b=294 mm; h=441 mm. Answer the question in mm4. Yanıt: b b Yanıt: Answer the question in mm4. h Determine the moments of inertia about the centroidal y-axes of the trapezoidal area. X Warrow_forwardVerify that the radius of gyration for a circle of diameter d with respect to a centroidal axis is r = d / 4.arrow_forward
- Problem 2 The machine element shown is fabricated from steel. The density of steel is 7850 kg/m³. Determine the mass moments of inertia (in kg-m²) of the assembly with respect to the y-axis AND the centroidal axis parallel to the y-axis. Create a table (or tables) to solve this problem. a = 30 mm b= 70 mm C = 20 mm d= 40 mm e= 60 mm C- a y b a C darrow_forwardY YI R a a image 1 barrow_forwardIn the figure the L- shaped machine part is composed of two homogeneous bars . Bar 1 is tungsten alloy with mass density 14,000 kg/m3 , and bar 2 is steel with mass density 7800 kg/m3 . Determine its moment of inertia about the x axis.arrow_forward
- 2. A rectangular prism (brick) has dimensions a (in x) b (in y) and c (in z) directions. Taking the origin at the center determine the mass moment of inertia about the y axis in terms of total mass m.arrow_forward1. Determine the moment of inertia of the above section (Fig. 1) about Ox axis. 2. Determine the moment of inertia of the above section (Fig. 2) about the vertical axis passing through the centroid.arrow_forwardDetermine the mass moment of inertia of the steel machine element shown with respect to the y axis. (The specific weight of steel is 490 lb/ft3.)arrow_forward
- 2. 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_forward100 mm Problem (3) A 3-mm thick piece of aluminum sheet metal is cut and bent into the machine component shown. The density of aluminum is 2770 kg/m³. Determine the mass moment of inertia of the component with respect to the y-axis. 180 mm 160 mm 240 mm 160 mmarrow_forwardA homogeneous wire with a mass per unit length of 0.056 kg/m is used to form the figure shown. Determine the mass moment of inertia of the wire with respect to each of the coordinate axes.arrow_forward
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moment of inertia; Author: NCERT OFFICIAL;https://www.youtube.com/watch?v=A4KhJYrt4-s;License: Standard YouTube License, CC-BY