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.
Thin aluminum wire of uniform diameter is used to form the figure shown. Denoting the mass per unit length of the wire by m’, determine the mass products of inertia Ixy, Iyz, and Izx of the wire figure.
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 lxx?
Answers:
lyy=
e=
i
i
-185
y
445
185
Dimensions in millimeters
740
140
kg.m²
%
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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- 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.m²arrow_forwardDetermine the moment of inertia of the thin plate about an axis perpendicular to the page through point O. The material has a mass per unit area of 18.0 kg/m2. 200 mm 200 mm 200 mmarrow_forwardDetermine the mass moment of inertia of the plate about an axis perpendicular to the page through point O. The mass of the material per unit area is 25 kg/m2. 50 mm 400 mm 50 mm 150 mm 150 mm 400 mm 150 mm 150 mmarrow_forward
- Determine by direct integration the product of inertia of the given area with respect to the x and y axes.arrow_forward2arrow_forwardThe 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 lxx? Answers: lyy e = = 200 y 495 200 Dimensions in millimeters textes kg m² % 60 60arrow_forward
- 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 moments of inertia of the Z-section about its centroidal x0- and y0-axes.arrow_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_forward
- The part is constucted of a brass rod and an aluminum cylinder. The brass rod extends through the aluminum cylinder. Densities are given to the right of the figure. Determine the mass moment of inertia about the y and z axes, Iy and Iz.arrow_forwardThe mass of the displayed object is 10 kg. Its moment of inertia with respect to Lyes of 10 kg-m2. What is its moment of inertia with respect to L2? (The three axes are in the same plane).arrow_forward4arrow_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