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R THE FIGURE IS NOT DRAWN TO SCALE. The body shown is contructed from a right circular cylinder of radius r = 90 mm and height h = 180 mm, and a hemisphere of radius R = 154 mm. The density of the cylinder is 2 kg/m³ and the density of the hemisphere is 3 kg/m³.

R THE FIGURE IS NOT DRAWN TO SCALE. The body shown is contructed from a right circular cylinder of radius r = 90 mm and height h = 180 mm, and a hemisphere of radius R = 154 mm. The density of the cylinder is 2 kg/m³ and the density of the hemisphere is 3 kg/m³.

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 need part A and B Please be careful with units

**A.** What is the first mass moment of the cylinder about the *x* axis? (*include units with answer*) **B.** What is the first mass moment of the hemisphere about the *x* axis? (*include units with answer*) **C.** What is the position, *z<sub>G</sub>*, of the body's mass center? (*include units with answer*)
Transcribed Image Text:**A.** What is the first mass moment of the cylinder about the *x* axis? (*include units with answer*) **B.** What is the first mass moment of the hemisphere about the *x* axis? (*include units with answer*) **C.** What is the position, *z<sub>G</sub>*, of the body's mass center? (*include units with answer*)
The diagram depicts a composite solid formed by a right circular cylinder and a hemisphere. ### Components: 1. **Right Circular Cylinder**: - Radius: \( r = 90 \, \text{mm} \) - Height: \( h = 180 \, \text{mm} \) - Density: \( 2 \, \text{kg/m}^3 \) 2. **Hemisphere**: - Radius: \( R = 154 \, \text{mm} \) - Density: \( 3 \, \text{kg/m}^3 \) ### Diagram Explanation: - The cylinder is placed vertically along the z-axis, aligned with the hemisphere. - \( G \) signifies the center of gravity of the system. - The axes labeled \( x \), \( y \), and \( z \) define the three-dimensional coordinate system used to describe the orientation and dimensions. ### Notes: - The figure is not drawn to scale. This illustration serves as a fundamental example for calculating properties such as the center of mass, volume, and weight distribution within combined geometric shapes.
Transcribed Image Text:The diagram depicts a composite solid formed by a right circular cylinder and a hemisphere. ### Components: 1. **Right Circular Cylinder**: - Radius: \( r = 90 \, \text{mm} \) - Height: \( h = 180 \, \text{mm} \) - Density: \( 2 \, \text{kg/m}^3 \) 2. **Hemisphere**: - Radius: \( R = 154 \, \text{mm} \) - Density: \( 3 \, \text{kg/m}^3 \) ### Diagram Explanation: - The cylinder is placed vertically along the z-axis, aligned with the hemisphere. - \( G \) signifies the center of gravity of the system. - The axes labeled \( x \), \( y \), and \( z \) define the three-dimensional coordinate system used to describe the orientation and dimensions. ### Notes: - The figure is not drawn to scale. This illustration serves as a fundamental example for calculating properties such as the center of mass, volume, and weight distribution within combined geometric shapes.
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