Learning Goal:A centroid is an object's geometric center. For an object of uniform composition, its centroid is also itscenter of mass. Often the centroid of a complex composite body is found by, first, cutting the body intoregular shaped segments, and then by calculating the weighted average of the segments' centroids.Anobject is made from a uniform piece of sheet metal. The object has dimensions of a = 1.45 ft, where a isthe diameter of the semi-circle, b = 3.24 ft, and c = 2.10 ft. A hole with diameter d = 0.500 ft is centeredat (1.13, 0.725).FigureX1 of 2Part AFind the area of the body. (Figure 1)Express your answer numerically in feet squared to three significant figures.► View Available Hint(s)VE ΑΣΦ41 | vecA = 1.52Submit* Incorrect; Try Again; 5 attempts remainingPart BI=Find I, the x-coordinate of the body's centroid. (Figure 1)Express your answer numerically in feet to three significant figures.► View Available Hint(s)SubmitPrevious AnswersPart Cy =15. ΑΣΦAΣ¢vec 4?Find y, the y-coordinate of the body's centroid. (Figure 1)Express your answer numerically in feet to three significant figures.▸ View Available Hint(s)ΠΙΑΣΦvec 4 •C (3 ??ft²ftft

Given: a=1.45 ft b=3.24 ft c=2.10 ft d=0.5 ft Center of a hole=(1.13, 0.725)

Learning Goal: A centroid is an object's geometric center. For an object of uniform composition, its centroid is also its center of mass. Often the centroid of a complex composite body is found by, first, cutting the body into regular shaped segments, and then by calculating the weighted average of the segments centroids. An object is made from a uniform piece of sheet metal. The object has dimensions of a -1.45 ft, where a is the diameter of the semi-circle,b=3.24 ft, and c=2.10 ft. A hole with diameter d=0.500 ft is centered at (1.13,0.725).

Learning Goal: A centroid is an object's geometric center. For an object of uniform composition, its centroid is also its center of mass. Often the centroid of a complex composite body is found by, first, cutting the body into regular shaped segments, and then by calculating the weighted average of the segments centroids. An object is made from a uniform piece of sheet metal. The object has dimensions of a -1.45 ft, where a is the diameter of the semi-circle,b=3.24 ft, and c=2.10 ft. A hole with diameter d=0.500 ft is centered at (1.13,0.725).

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

See similar textbooks

Related questions

Q: which is given. What are the x and : coordinates of the bracket's mass cen- ter? (The angle 0 in the…

A: To Find : The x and z coordinate of the bracket mass . Given : The total number of hole is n=4 The…

Q: (b) the height of he building

A: For solution refer below images.

Q: If you have the shaded area shown below for multi bodies, can you find the coordinates of the…

A: The each part of shaded area is given below,

Q: Q5: If you have the shaded area shown below for multi bodies, can you find the coordinates of the…

Q: Homer Hickam is launching rockets upward from the ground with an initial upward velocity of 15.5…

Q: Learning Goal: To be able to find the center of gravity, the center of mass, and the centroid of a…

A: Given data is

Q: Compute the coordinates of the centroid (x, y) of the area shown. y

Q: The curved boundary of the shape shown is a half-circle. Given the dimensions above, find: • the x…

Q: 5. Locate (calculate) the X-X and Y-Y centroidal axes for the area shown. Make sure to draw the…

Q: You are asked to find the centroid of a steel plate with the dimensions shown. In other words, x and…

A: Step 1: part Area (A) xiˉyiˉAxiˉAyiˉ1. Rectangle(4)(2.5)=10m222.5=1.25m0....(on x…

Q: You are asked to analyze a catcher for a small drone. The catcher arm weighs 22 lb and is 8 ft long…

A: Given:To find:Reaction forces at A when the catcher arm stops.

Q: Compute the coordinates of the centroid (x, y) of the area shown. лу 2013 Michael Swanbom CC +0 BY…

Q: The rim of a backyard basketball net is mounted 9 ft. 4 in off the ground. A basketball player has a…

Q: Determine the centroid of the area shown when a = 5 in. a y Y X Qx = SZ Integral Table: Includes…

Q: The following area is a cross-section of a structural member. The coordinate for the location of the…

A: To find: The coordinate for the location of the centroid. Free Body diagram : Redraw the image with…

Q: 8) Find the centre of mass (centroid) for the following object: Note: use the following for a…

A: Draw the diagram of the object with x-y coordinate axis. The whole diagram is divided into 3 parts.…

Q: Draw projections of this plane and find its inclination with the HP

Q: echanical Engineering cable is 5000 m long eighs 49kg/m has a diameter of 133 mm nd a maximum…

Q: 6. Given two projections of the solid, construct the third one. O

Question

Learning Goal:
A centroid is an object's geometric center. For an object of uniform composition, its centroid is also its
center of mass. Often the centroid of a complex composite body is found by, first, cutting the body into
regular shaped segments, and then by calculating the weighted average of the segments' centroids.An
object is made from a uniform piece of sheet metal. The object has dimensions of a = 1.45 ft, where a is
the diameter of the semi-circle, b = 3.24 ft, and c = 2.10 ft. A hole with diameter d = 0.500 ft is centered
at (1.13, 0.725).
Figure
X
1 of 2
Part A
Find the area of the body. (Figure 1)
Express your answer numerically in feet squared to three significant figures.
► View Available Hint(s)
VE ΑΣΦ41 | vec
A = 1.52
Submit
* Incorrect; Try Again; 5 attempts remaining
Part B
I=
Find I, the x-coordinate of the body's centroid. (Figure 1)
Express your answer numerically in feet to three significant figures.
► View Available Hint(s)
Submit
Previous Answers
Part C
y =
15. ΑΣΦ
AΣ¢vec 4
?
Find y, the y-coordinate of the body's centroid. (Figure 1)
Express your answer numerically in feet to three significant figures.
▸ View Available Hint(s)
ΠΙΑΣΦ
vec 4 •
C (3 ?
?
ft²
ft
ft

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Given things and the parameters need to find out

VIEW

Step 2: Calculation of Area A, x and y-coordinate of the centroid

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

Please show your step by step solution. Draw a figure and Free Body Diagram (FBD) whenever necessary. Use 4 decimal places in your solution and 2 decimal places in your final answer.
Solve correctly(handwritten format)
Part E Learning Goal: To calculate the moment of inertia for areas Where is the centroid of the section, y shown in (Figure 2), located? composed of simpler shapes. Express your answer in cm to three significant figures. The beam section shown in (Figure 1) is composed of two horizontal flanges and a vertical web with dimensions H = 24 cm , W1 = 33 cm , and W2 = 23 cm , and the plates all have thickness 2 cm . View Available Hint(s) %3D Calculate the moment of inertia of the section about ΑΣφ ? vec the centroid axis parallel to the x-axis. cm Submit Part F What is the moment of inertia of the section about its centroidal axis parallel to the x-axis? Express your answer in cm to three significant figures. Figure 2 of 2 • View Available Hint(s) vec ? I : cm4 Submit
a) Determine the Area and the centroid of the shape. Show the calculations using integration. b) Find the Area Moment of Inertia about the X-axis using integration. Then find the Area Moment of Inertia about the x-x centroidal axis (x-bar) using the Parallel Axis Theorem. 2.0 in c) Find the Area Moment of Inertia about the Y-axis using integration. Then find the Area Moment of Inertia about the y-y centroidal axis (y-bar) using the Parallel Axis Theorem. 2.0 in
Need answers to be rounded to 3 sig figs. Thank you!
Compute the coordinates of the centroid (ã, j) of the area shown. y y = = a /bx BY NC SA 2016 Eric Davishahl Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 3.5 in 1.4 in (Note the -1 exponent only applies to the unit, not the number.) 7 in The x coordinate of the centroid is a in. The y coordinate of the centroid is y in. ||
I need these three parts answered, if you are unable to answer all three parts please leave it for another tutor to answer, thank you.
Compute the coordinates of the centroid (a, y) of the area shown. Also compute the area moment of intertia about the x' and y' axes with origin at the centroid. 2013 Michael Swanbom cc 9O BY NC SA C a – b a Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 38 cm 19 cm 42 cm The x coordinate of the centroid is a cm. The y coordinate of the centroid is y cm. The moment of inertia about the x' axis going through the centroid is Ip' cm4. The moment of inertia about the y' axis going through the centroid is I,' cm4. ||
Mechanical engineering 　５
Need answers to be rounded to 3 sig figs. Thank you!
answer would be appreciated
Compute the coordinates of the centroid (,) of the area shown. Also compute the area moment of intertia about the x' and y' axes with origin at the centroid. ур C + 2013 Michael Swanbom cc 10 BY NC SA a*b* - a a → x Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 41 cm b 25 cm с 50 cm The x coordinate of the centroid is = cm. The y coordinate of the centroid is y cm. The moment of inertia about the x' axis going through the centroid is I' The moment of inertia about the y' axis going through the centroid is I✓ cm4. cm4.