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. The piece shown is made by joining a solid rectangular parallelepiped with given density pp and a solid wedge- shaped part with given density pw. The 9d length d is given. What are the x, y and : coordinates of the object's mass center? y 5d 3d 3d

. The piece shown is made by joining a solid rectangular parallelepiped with given density pp and a solid wedge- shaped part with given density pw. The 9d length d is given. What are the x, y and : coordinates of the object's mass center? y 5d 3d 3d

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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**Problem 2:** The piece shown is made by joining a solid rectangular parallelepiped with a given density \( \rho_p \) and a solid wedge-shaped part with a given density \( \rho_w \). The length \( d \) is given. What are the \( x \), \( y \), and \( z \) coordinates of the object's mass center? **Diagram Explanation:** - The diagram illustrates a 3D shape composed of two parts: - A rectangular parallelepiped. - A wedge-shaped part. - The shape is defined in a coordinate system with \( x \), \( y \), and \( z \) axes. - Dimensions are labeled as follows: - The length along the \( x \)-axis is \( 5d \). - The length along the \( y \)-axis is divided into \( 3d \) for the parallelepiped and an additional \( 3d \) for the wedge, totaling \( 6d \). - The height along the \( z \)-axis is \( 9d \). - The wedge is positioned on top of the parallelepiped, tapering from a full height at one end down to zero at the other along the \( x \)-axis.
Transcribed Image Text:**Problem 2:** The piece shown is made by joining a solid rectangular parallelepiped with a given density \( \rho_p \) and a solid wedge-shaped part with a given density \( \rho_w \). The length \( d \) is given. What are the \( x \), \( y \), and \( z \) coordinates of the object's mass center? **Diagram Explanation:** - The diagram illustrates a 3D shape composed of two parts: - A rectangular parallelepiped. - A wedge-shaped part. - The shape is defined in a coordinate system with \( x \), \( y \), and \( z \) axes. - Dimensions are labeled as follows: - The length along the \( x \)-axis is \( 5d \). - The length along the \( y \)-axis is divided into \( 3d \) for the parallelepiped and an additional \( 3d \) for the wedge, totaling \( 6d \). - The height along the \( z \)-axis is \( 9d \). - The wedge is positioned on top of the parallelepiped, tapering from a full height at one end down to zero at the other along the \( x \)-axis.
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