This document contains the homework problems for ENGR 220 due on April 30th, 2014. It includes 4 problems finding the moment of inertia for various structures about the x-axis, y-axis, and centroidal axes. The problems ask students to calculate the moment of inertia, locate centroids, and determine the moment of inertia about centroidal axes. Answers to the moment of inertia calculations are provided in parentheses.
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1. ENGR 220 Homework 9, due 4/30/14
1. Find (a) the moment of inertia about the x-axis (b) the moment of inertia about the y-axis (Ans. (b)
2.67 4
)
2. Find the moment of inertia of the following structure with respect to the x and y axes. (Ans =
736 4
)
2. 3. Locate the centroid μ of the composite area, then determine the moment of inertia of this area
about the centroidal モ axis. ( モ = 33.5 4
)
4. For the same structure shown in problem 5, determine the moment of inertia of the composite area
about the centroidal y axis. (Ans. = 74 4
)
Optional: Beer and Johnston #9.2, 9.6, 9.35, 9.36, 9.47, 9.48