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.
International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter9: Moments And Products Of Inertia Of Areas
Section: Chapter Questions
Problem 9.13P: Figure (a) shows the cross section of a column that uses a structural shape known as W867...
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