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The cross section of a bearing block is shown in the figure by the shaded area. Calculate the moment of inertia of the section about its base a-a. Assume b = 15 in., h = 4 in., r= 3 in, R = 6 in. R h a 4 Answer: la-a = i 316.95 in.

The cross section of a bearing block is shown in the figure by the shaded area. Calculate the moment of inertia of the section about its base a-a. Assume b = 15 in., h = 4 in., r= 3 in, R = 6 in. R h a 4 Answer: la-a = i 316.95 in.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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I got 316.95 and that was incorrect.

The cross-section of a bearing block is shown in the figure by the shaded area. Calculate the moment of inertia of the section about its base \( a-a \). Assume: - \( b = 15 \, \text{in.} \) - \( h = 4 \, \text{in.} \) - \( r = 3 \, \text{in.} \) - \( R = 6 \, \text{in.} \) The diagram shows a geometric shape consisting of a semicircular area on top of a rectangular base. The semicircle has an outer radius, \( R \), and an inner radius, \( r \), creating a hollow circle on the top section. The rectangle has a width \( b \) and height \( h \). The task is to calculate the moment of inertia of the entire section about axis \( a-a \). **Answer:** \[ I_{a-a} = 316.95 \, \text{in}^4 \]
Transcribed Image Text:The cross-section of a bearing block is shown in the figure by the shaded area. Calculate the moment of inertia of the section about its base \( a-a \). Assume: - \( b = 15 \, \text{in.} \) - \( h = 4 \, \text{in.} \) - \( r = 3 \, \text{in.} \) - \( R = 6 \, \text{in.} \) The diagram shows a geometric shape consisting of a semicircular area on top of a rectangular base. The semicircle has an outer radius, \( R \), and an inner radius, \( r \), creating a hollow circle on the top section. The rectangle has a width \( b \) and height \( h \). The task is to calculate the moment of inertia of the entire section about axis \( a-a \). **Answer:** \[ I_{a-a} = 316.95 \, \text{in}^4 \]
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