PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Chapter 21, Problem 14P
To determine
The products of inertia
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Determine the product of inertia of the thin strip of area with respect to the x and y axes. The strip is oriented at an angle from the axis. Assume that t << I.
Express your answer in terms of the variables 1, t, and 0.
The molded plastic block has a density of 1300 kg/m³. Calculate its moment of inertia about the y-y axis. What percentage error e is
introduced by using the approximate relation 1/3 ml² for Ixx?
Answers:
lyy=
0.8
185
1.108
y
445
185
Dimensions in millimeters
140
140
%
kg.m²
Determine the mass moment of inertia (in lb-ft-sec2) of the object shown with respect to its geometric center. Assume that the object is madeof cast iron with density equal to 7845 kg/m3. All given dimensions in the object are in inches.
Chapter 21 Solutions
PEARSON ETEXT ENGINEERING MECH & STATS
Ch. 21 - Show that the sum of the moments of inertia of a...Ch. 21 - Prob. 2PCh. 21 - Prob. 3PCh. 21 - Determine the moments of inertia Ix and Iy of the...Ch. 21 - Prob. 5PCh. 21 - Determine by direct integration the product of...Ch. 21 - Prob. 9PCh. 21 - Prob. 10PCh. 21 - Determine the moment of inertia Ixx of the...Ch. 21 - Prob. 13P
Ch. 21 - Prob. 14PCh. 21 - Prob. 15PCh. 21 - The bent rod has a weight of 1.5 lb/ft. Locate the...Ch. 21 - If a body contains no planes of symmetry, the...Ch. 21 - Prob. 23PCh. 21 - Prob. 25PCh. 21 - Prob. 28PCh. 21 - Prob. 29PCh. 21 - Prob. 30PCh. 21 - The 2-kg thin disk is connected to the slender rod...Ch. 21 - Prob. 33PCh. 21 - Prob. 36PCh. 21 - Prob. 37PCh. 21 - Prob. 40PCh. 21 - Prob. 41PCh. 21 - Prob. 42PCh. 21 - Prob. 48PCh. 21 - Prob. 51PCh. 21 - Prob. 54PCh. 21 - Show that the angular velocity of a body, in terms...Ch. 21 - A thin rod is initially coincident with the Z axis...Ch. 21 - The top consists of a thin disk that has a weight...Ch. 21 - Prob. 66PCh. 21 - Prob. 69PCh. 21 - Prob. 70PCh. 21 - Prob. 73PCh. 21 - Prob. 74PCh. 21 - Prob. 77P
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- Determine the mass moments of inertia of the bracket about the x- and x'-axes. The bracket is made from thin plate of uniform thickness and has a mass of 0.35 kg per square meter of area. 40 mm 80 mm 80 mm y 100 mm x -x²arrow_forwardDetermine the product of inertia of the thin strip of area with respect to the x and y axes. The strip is oriented at an angle θ from the x axis. Assume that t<<l Express your answer in terms of the variables l,t and θ < (IMPORTANT)arrow_forwardThe thin plate has a mass per unit area of 10 kg/m2. Determine its mass moment of inertia (MMI) about the z axis:arrow_forward
- 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 6000 kg/m3 and the cylinder a density of 8000 kg/m3. Consider H = 83arrow_forwardThe difference between the moments of Inertia of area A with respect to the x1 and x axes is 0.365m^4. (Ix1-Ix=0.365)Calculate the area, knowing that A has its CG at C. P=27arrow_forwardDetermine the product of inertia with respect to the x and y axes for the shaded area shown. y 2 m y = JF 4 m 2.92 m 6.69 m 5.33 m* 8.54 m4 O 7.70 marrow_forward
- 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.arrow_forwardConsider the shaded area shown in (Figure 1). Suppose that a 140 mm, b = 200 mm, and r = 80 mm. Figure b b a a b 1 of 1arrow_forwardThe assembly is made of the slender rods that have a mass per unit length of 4 kg/m. (Figure 1) Figure 1 of 1 0.8 m 0.4 m 0.4 m PREVIOUS Part A Determine the mass moment of inertia of the assembly about an axs perpendicular to the page and pas through point O Express your answer to three significant figures and include the appropriate units. PA 3 d ? To 7.78 kg m² Submit Previous Answers Heavest Answer NEXarrow_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