1. Determine the x-coordinate of the center of mass of the entire assembly2. Determine the y-coordinate of the center of mass of the entire assembly3. 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, thencutting out a semicylinder from the base. (The density of steel is 7850 kg/m³.)25 mmy40 mm 40 mm100 mm25 mm80 mmx60 mm

Given diagram-Write the given data.

1. Determine the x-coordinate of the center of mass of the entire assembly 2. Determine the y-coordinate of the center of mass of the entire assembly 3. Determine the moment of inertia of the entire assembly with respect to the y-axis

1. Determine the x-coordinate of the center of mass of the entire assembly 2. Determine the y-coordinate of the center of mass of the entire assembly 3. 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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Concept explainers

Moment of Inertia

Inertia can be termed as a resistance offered by a body to change its state. A rigid body initially at rest will apply resistance when acted by an external force that tends to change its state of rest or velocity, or a body initially at motion will provide resistance in changing its state of velocity or motion for coming to a state of rest. In other words, Newton's first law of motion describes the law of inertia of a rigid body.

Question

1. Determine the x-coordinate of the center of mass of the entire assembly

2. Determine the y-coordinate of the center of mass of the entire assembly

3. 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
y
40 mm 40 mm
100 mm
25 mm
80 mm
x
60 mm

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Step 1: Draw the given diagram and write the given data.

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Step 2: (1) Determine the x-coordinate of the center of mass of the entire assembly.

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Step 3: (3) Determine the moment of inertia of the entire assembly with respect to the y-axis.

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