The machine element shown is fabricated from steel by combining a cylindrical base with a cone on top, then cutting out a semicylinder from the base. (The density of steel is 7850 kg/m³) 25 mm 40 mm 40 mm 80 mm x 25 mm 60 mm 100 mm 1. [10%] Determine the x-coordinate of the center of mass of the entire assembly. 2. [10%] Determine the y-coordinate of the center of mass of the entire assembly. 3. [20%] Determine the moment of inertia of the cylindrical base with respect to the y-axis. 4. [20%] Determine the moment of inertia of the cone with respect to the y-axis. 5. [30%] Determine the moment of inertia of the semi-cylinder with respect to the y-axis. 6. [10%] Determine the moment of inertia of the entire assembly with respect to the y-axis.
The machine element shown is fabricated from steel by combining a cylindrical base with a cone on top, then cutting out a semicylinder from the base. (The density of steel is 7850 kg/m³) 25 mm 40 mm 40 mm 80 mm x 25 mm 60 mm 100 mm 1. [10%] Determine the x-coordinate of the center of mass of the entire assembly. 2. [10%] Determine the y-coordinate of the center of mass of the entire assembly. 3. [20%] Determine the moment of inertia of the cylindrical base with respect to the y-axis. 4. [20%] Determine the moment of inertia of the cone with respect to the y-axis. 5. [30%] Determine the moment of inertia of the semi-cylinder with respect to the y-axis. 6. [10%] Determine the moment of inertia of the entire assembly with respect to the y-axis.
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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![The machine element shown is fabricated from steel by combining a
cylindrical base with a cone on top, then cutting out a semicylinder from the
base. (The density of steel is 7850 kg/m³)
25 mm
40 mm 40 mm
80 mm
x
25 mm
60 mm
100 mm
1. [10%] Determine the x-coordinate of the center of mass of the entire assembly.
2. [10%] Determine the y-coordinate of the center of mass of the entire assembly.
3. [20%] Determine the moment of inertia of the cylindrical base with respect to the y-axis.
4. [20%] Determine the moment of inertia of the cone with respect to the y-axis.
5. [30%] Determine the moment of inertia of the semi-cylinder with respect to the y-axis.
6. [10%] Determine the moment of inertia of the entire assembly with respect to the y-axis.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4d0bd7e8-5d77-4b9d-b8e8-f154c6cfd94e%2F55d07837-9b49-48c3-a240-5773901e7cfd%2Fjv76ji4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The machine element shown is fabricated from steel by combining a
cylindrical base with a cone on top, then cutting out a semicylinder from the
base. (The density of steel is 7850 kg/m³)
25 mm
40 mm 40 mm
80 mm
x
25 mm
60 mm
100 mm
1. [10%] Determine the x-coordinate of the center of mass of the entire assembly.
2. [10%] Determine the y-coordinate of the center of mass of the entire assembly.
3. [20%] Determine the moment of inertia of the cylindrical base with respect to the y-axis.
4. [20%] Determine the moment of inertia of the cone with respect to the y-axis.
5. [30%] Determine the moment of inertia of the semi-cylinder with respect to the y-axis.
6. [10%] Determine the moment of inertia of the entire assembly with respect to the y-axis.
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