Include a drawing 1. Assume that the bracket shown is made from a homogeneous (uniform) flat plate of negligible thickness. Each of the four holes has diameter \( d \), which is **given**. What are the \( x \) and \( z \) coordinates of the bracket’s mass center? (The angle \( \theta \) in the figure is irrelevant.) [Hint: Because the diameter of the holes is given, you must account for them.]### Diagram DescriptionThe diagram illustrates a bracket made from a flat plate bent at a right angle. It features two surfaces—one vertical and one horizontal—with each surface having two holes. The holes are uniformly distributed, and the diameter of each hole is labeled \( d \).- **Vertical Plate:** - The holes are aligned vertically. - The top and bottom holes are \( 5d \) apart. - The distance from the top of the vertical plate to the top hole is \( 2d \). - The distance from the bottom of the vertical plate to the bottom hole is \( 2d \).- **Horizontal Plate:** - The distance from the bend to the vertical alignment of the holes is \( 4d \). - The distance from the edge of the horizontal plate to the holes horizontally is \( 2d \).- **Overall Bracket Layout:** - The entire structure forms an L-shape. - Both the vertical and horizontal plates have identical hole spacing horizontally (\( 2d \)) from their respective nearest edges. - A \( z \)-axis is shown as perpendicular to the bent edge, and an \( x \)- and \( y \)-axis are outlined on the horizontal plane. The angle \( \theta \) is irrelevant for this problem. The problem involves calculating the center of mass in the \( x \) (horizontal) and \( z \) (vertical) directions, considering that the material is uniform and the holes reduce the mass in those specific regions.

each segment with respective centroid is tabulated as below............... SEGMENT A(mm2)…

1. Assume that the bracket shown is made from a homogenous (uniform) flat plate of negligible thickness. Each of the four holes has diameter d, -2d Sd 5d d= diameter of holes 2d - which is given. What are the x and : coordinates of the bracket's mass cen- 2d ter? (The angle 0 in the figure is irrel- 7d evant.) [Hint: Because the diameter of the holes is given, you must ac- count for them.] 2d 4d

1. Assume that the bracket shown is made from a homogenous (uniform) flat plate of negligible thickness. Each of the four holes has diameter d, -2d Sd 5d d= diameter of holes 2d - which is given. What are the x and : coordinates of the bracket's mass cen- 2d ter? (The angle 0 in the figure is irrel- 7d evant.) [Hint: Because the diameter of the holes is given, you must ac- count for them.] 2d 4d

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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