Question 1Find (a) the location of the centroid (x, y); (b) the area moment of inertia about the global x axis, k; and(c) the area moment of inertia about the global y axis, ly.*- 3.67 mm; ỹ - 21.5mmIxs 4.3x10* mm" ; Ty: 1.Sxlo* mm5mm13 mmSomm1310Mm mmMM Mm

The shape with number is given below,

Find (a) the location of the centroid (x, y); (b) the area moment of inertia about the global x axis, I; and (c) the area moment of inertia about the global y axis, ly. ** 3.67 mm; ŷ- 21.3mm Ixo 4.3x10* mm" 5mm 15 mm 50mm Mm mm mM Mm

Find (a) the location of the centroid (x, y); (b) the area moment of inertia about the global x axis, I; and (c) the area moment of inertia about the global y axis, ly. ** 3.67 mm; ŷ- 21.3mm Ixo 4.3x10* mm" 5mm 15 mm 50mm Mm mm mM Mm

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: Find the moment of inertia of the given lamina about X-X axis passing through its centroid, where…

A: Answer xˉ=55mm yˉ=62.20215mm Ixx1=683655.7mm4 Ixx2=6013933mm4 Ixx=6697589mm4

Q: Find the moment of inertia (ly) of the given lamina about Y-Y axis passing through its centroid,…

A: Given b1=108mmb2=62mmd1=38mmd2=84mmThen For section…

Q: For the composite area shown: 1. Locate the centroid in the x and y direction? 2. Find the moment of…

A: The schematic diagram is where, Part 1: - A triangle OAB whose sides are 350 mm and 200 mm Part 2:…

Q: Semi Circle y 4 A B b a = 190mm, b= 200mm, c= 260mm %3D %3D For the given composite geometry…

A: The location of the centroid with respect to A along the x-direction is 202.7 mm = 203 mm (nearest…

Q: In the area of the shaded region below, calculate the following: a.) Location of Centroid from x and…

Q: Using the parallel-axis theorem, determine the product of inertia of the area shown with respect to…

A: parting the object into two parts as shown in the fig.

Q: 80 mm 20 mm 160 mm 20 mm

Q: Determine the second moments with respect to The x- and y-axes through the centroid of the area. 80…

A: Consider the diagram shown below for the given figure.

Q: Locate the centroid of the shown area with respect to the shown x- and y-axis. All Dimensions are in…

A: Here given , x= 6 mm;Now we will find the centroid of the given figure

Q: Locate the centroid (x,y) of the coposite area; then find the moment of inertia of the…

Q: For the composite area shown: 1. Locate the centroid in the x and y direction? 2. Find the moment of…

Q: Determine the centroid of the figure below and also determine the moment of inertia about x-axis and…

Q: Locate the centroid of the composite cross-sectional area shown in the figure below. Also, determine…

A: We will convert into three components as shown below :

Q: Find the moment of inertia of the given lamina about X-X axis passing through its centroid, where…

A: Given b1 = 92 mm d1 = 36 mm b2 = 64 mm d2 = 84 mm To find X bar Y bar Ixx1 Ixx2 Ixx

Q: For the composite area shown in the image below, if the dimensions are a = 38 mm, b=240 mm, c = 276…

Q: For the plane area shown below, determine the first moments with respect to the x and y axes and the…

A: Given I beam To find Moment of area Centroid Moment of inertia Radius of gyration

Q: about its centroidal x- and y-axes. 100 mm 20 mm yo 140 mm

A: To find Moment of inertia about its centroidal axis X & Y =?

Q: distance, d3y, of snape YO? z) aa) What is the distance, day, of shape 6's centroid from axis Yo?…

A: we have to locate the centroid of shape 3 & 6

Q: Cross section area and dimensions of a bar is shown below. a-) Find location (coordinates) of the…

Q: moment of inertia Ix of the figure shown. Use the parallel axis theorem. Where B = 9, and Y =

Q: 30mm 3. For the region shown. Calculate the principal moment of inertia, if it has its centroid x=…

Q: Calculate with all the corresponding procedures the centroid (coordinate in Y) and the moment of…

Q: For the cross-section shown, determine the centroidal moment of inertia (I_NA 100 mm 20 mm 20 mm 310…

Q: Determine the Area, the position of the centroid about the reference axes, and the moment of inertia…

A: The given section is as shown below,

Q: A wooden beam is fabricated by nailing together three boards as shown. The boards have dimensions of…

Q: For the composite area shown: 1. Locate the centroid in the x and y direction? 2. Find the moment of…

A: Calculate the area and centroid of the triangle, Area of triangle, A1 = 0.5 x 150 mm x 200 mm =…

Q: Determine the polar moment of inertia of the area shown with respect to (a) point O, (b) the…

A: Given data :- OA= 4in OB=4in OC=4in OD=4in O is centre

Q: 1). Locate the centroid C (x,j) of the shaded area. 2). Determine the moment of inertia of the…

A: Given: The height of the shaded area, h = 2.5 ft The profile of the shaded area, y = 2.5 - 0.1 x2

Q: For the composite area shown in the image below, if the dimensions are a=28mm, b=218mm, c=282mm, and…

A: Divide this shape into four parts part1: a*c part2: b*a part3: a*d part4: a*d part1; area; A1…

Q: 30 mm 80 mm x' x' R 30 mm R 50 mm

Q: Question: For the figure shown below: 1- Locate the centroid C (x.y) of the shaded area 2- Determine…

Q: b-159 mm, d-216 mm y t - 37.4 mm. y EC d ><t

Q: Question: For the figure shown below: 1- Locate the centroid C (x.y) of the shaded area 2- Determine…

A: Moment of inertia of an area is defined as the product of area and the distances of its center from…

Q: 2. Compute for the Area, Location of centroids, Moment of Inertia with respect to x and y, and…

A: Given, a = 5m b =3m The given area can be divided into two sections section 1:- A rectangle ABCD…

Q: For the machine elements shown, locate the centroid. I in. 2 in. 2 in. 3 in. 2 in. T-1.25 in. T-1,25…

A: We have given

Q: y-centroid? k 1.2 in |↔| 5 in. 5 in. 1 in. ref.

Q: For the in-plane composite shape shown; a) Determine the location of centroid C(x,y) b) Moments of…

A: Centroid of an area is the point located in the area which is considered to be placed at an average…

Q: Consider the triangle shown, and; a) Determine the location of centroid C(x,y) b) Moments of inertia…

A: Centroid The centroid is also known as the geometric center of the object. The centroid of a…

Q: 2.1) determine the distance of the centroidal axis (or neutral axls, NA) trom the base or bottom of…

Q: Determine the principle moments of inertia and the orientation of the principle axes for the section…

A: Center of gravity Center of gravity is the point in the body where all the mass of body is…

Q: Determine the y-bar centroid of the shaded area. Then, determine the area moment of inertia about…

Q: Question 2 Calculate the following: i. The centroid ii. Moment of inertia of the channel section…

Q: Determine the location of the centroid and the moment of inertia of the complex figure shown with…

A: Given: The radius, R = 70 mm The length, A = 155 mm

Q: Determine the location of the centroid for the shaded area in x and y Determine the moment of…

Q: 2,1) determine the distance of the centroidal axis (or neutral axis, NA) om the base or bottom of…

Q: For the composite area shown: 1. Locate the centroid in the x and y direction? 2. Find the moment of…

Q: Q-5. For the below given Cross-Sectional Area; determine; a. Centroid of the area; b. Moment of…

A: Centroid of an area is considered as the point which is located at the average distance from the…

Q: Find the moment of inertia (lyy) of the given lamina about Y-Y axis passing through its centroid,…

A: Suppose, there is a rectangle of width b and height h. Then, moment of inertia about x-axis,…

Concept explainers

Moment of Inertia

Inertia can be termed as a resistance offered by a body to change its state. A rigid body initially at rest will apply resistance when acted by an external force that tends to change its state of rest or velocity, or a body initially at motion will provide resistance in changing its state of velocity or motion for coming to a state of rest. In other words, Newton's first law of motion describes the law of inertia of a rigid body.

Question

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

Step 2

Step 3

Step 4

Step 5

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 1 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

50 mm 150 mm 150 mm 300 mm find the moment of inertia for this exercise, with the following formulas: Polar Jo= Iox + + Toy Iox - Icx + Adg² Toy = Icg + dobe ² Caculation of centroid attached below. use it to solve the question in red box asap Som Av 3com for Portion A₁ - the figure is symme about y-aris. 2=0. AL 120mm AALD Area of A₁ = 300x50 = 15000 Y₁ = y₁ y = 300 for Pation A2 Area Az = 50x300 = 15000 By Considering Centroid, from the Bottom of the section. 300+ 50 = ₁ + 3/2 = 325 Centroid (ā, y) = = [0₁ SE = 50mm A, Ya+ A₂4 0, A₁+A₂ 15000x150 +15000x325 15000 15000 (0.237.5)
1. Locate the centroid of the following figures. 90 mm : y a) b) 90 ty 4 in mm 3 in 120 X + 2 in 2 in 2 in A = A1 - A2 Ax = A1 x1 - A2 x2 А у%3DA1 y1 - A2 у2 A = A1 - A2 Ax = A1 x1 - A2 x2 А у 3DA1 y1 - А2 у2 2. Compute for the moment of inertia about xo and yo of the following figures. а) b) y 100 mm 100 mm 75 mm y 25 mm 120 mm 75 mm 50 mm 180 mm | = |1 - 12 |= 1 + 12
For the figure shown, determine the following.: a. coordinates of the centroid (x, y); b. moments of inertia about the x- and y-axes c. polar moment of inertia d. radii of gyration. c022 R3- Answers: (a) C (3.0197, 3.1747) (b) l= 13395.1806 in*, I,= 13567.663 in (c) Jo= 26962.7869 in (d) k,= 6.5658 in, k,= 6.6080, kz= 9.3153 in -02"
3:59O l 37.6 26) K/s REC Question v? = 400x Determine the moment of inertia for the shaded area shown about the x - (100 – x)- dy axis. 200 mm 100 mm 27:082021 BME 1205 Moment of Inertia Natukunda Faith's screen
For the figure shown, determine the following.: a. coordinates of the centroid (x, y); b. moments of inertia about the x- and y-axes C. polar moment of inertia d. radii of gyration. -Ø22 R3"- 5" Answers: (a) C (3.0197, 3.1747) (b) = 13395.1806 in4, ly= 13567.663 in4 (c) Jo= 26962.7869 in4 (d) kx= 6.5658 in, ky= 6.6080, kz= 9.3153 in -6". -Ø2" R5"
For the composite area shown in the image below, if the dimensions are a = 38 mm, b = 240 mm, c = 276 mm, and b = 124 mm, determine its area moment of inertia Ī (in 106 mm²) about the centroidal horizontal X-axis (not shown) that passes through point C. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. 1 a
Find the moment of inertia (ly) of the given lamina about Y-Y axis passing through its centroid, where b1=108 mm, d1=38 mm, b2= 62 mm & d2=84mm. (enter only the values in the boxes by referring the units given in bracket) b2 TP b1 O The X value is (unit is in mm) = O The Y value is (unit is in mm) (i) the lyyi value is (unit is in mm)= (iv) the lyy2 value is (unit is in mm)= . (V) The lyy value is (unit is in mm4)=
Find the moment of inertia of the given lamina about X-X axis passing through its centroid, where b1=106 mm, d1=32 mm, b2= 60 mm & d2%3D98mm. (enter only the values in the boxes by referring the units given in bracket) b2 d2 TP b1
Question: For the figure shown below: 1- Locate the centroid C (x.y) of the shaded area 2- Determine the area moment of inertia of the shaded area about Yc 20 30 80 80 C(xy) 50 30 60
In the area of the shaded region below, calculate the following: a.) Location of Centroid from x and y axis as shown b.) The moment of inertia with respect to y axis as shown, ly 5+2b+2a All units in cm STUDENT NO CODE: 20XX-XABCDE (EX. 2016-083701, A=8, B=3, C-7, D=0, E-1) r=2+e r=3+c+2d
CI Avery common structural component of an aircraft wing is its spar. An I shaped spar is shown in Fig. 1c. Determine the moment of inertia of this I'-shaped spar about its centroid x'- axis shown below. The spar is only symmetrical about its centroid y' axis. All dimensions are in millimetres. (Hint: locate the centroid first) 200 20 300 10 Fig, 1c 10 100
29 - Find the center of gravity M (x,y,z) of the three-dimensional homogeneous ABCD wire in the figure by using the coordinate set. The dimensions of the wire are a= 24 cm, b= 36 cm. In which of the following options are the coordinates of the AB part of the homogeneous wire in the x, y and z axes given correctly?A) (36 ; 24 ; 12)B) (18 ; 12 ; 0)C) (36 ; 12 ; 0)D) (36 ; 24 ; 0)E) (36 ; 12 ; 24)