**Problem #1:**For the system of particles as shown, determine (a) the position vector \( \mathbf{r} \) of the mass center \( G \) of the system, (b) the linear momentum of the system, (c) the angular momentum of the system about \( G \).**Diagram Explanation:**The diagram depicts a coordinate system with labeled points \( A \), \( B \), \( C \), and \( O \). The vertices are connected by lines indicating distances between these points and are positioned in a three-dimensional space:- Point \( A \) is 1.5 meters along the \( x \)-axis from point \( O \) and 1.2 meters along the \( y \)-axis.- Point \( B \) is positioned directly above \( O \) at a height of 1.2 meters along the \( z \)-axis.- Point \( C \) is 0.9 meters along the \( x \)-axis from \( O \) and 1.8 meters along the \( y \)-axis, and 2.4 meters along the \( z \)-axis.Vectors:- Vector \( \mathbf{v}_A \) is directed from \( A \) towards \( O \).- Vector \( \mathbf{v}_B \) is directed vertically upwards from \( B \) along the \( z \)-axis.- Vector \( \mathbf{v}_C \) is directed diagonally from \( C \) towards the opposite edge of the coordinate system.Dimensions:- The distance between \( A \) and \( O \) is 1.5 meters.- The distance between \( O \) and \( B \) is 1.2 meters.- The distance from \( O \) in the horizontal plane to a position vertically under \( C \) is 0.9 meters and 1.8 meters along the \( y \)-axis.- The vertical distance from \( A \) to \( C \) is 2.4 meters.

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For the system of particles as shown, determine (a) the position vector r of the mass center G of the system, (b) the linear momentum of the system, (c) the angular momentum of the system about G. 1S m

For the system of particles as shown, determine (a) the position vector r of the mass center G of the system, (b) the linear momentum of the system, (c) the angular momentum of the system about G. 1S m

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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