Consider a 2-dimensional system. A square of side length2a has a square hole of side length a inside. The centroid of thewith the hole is rcmsquare(Xn, Yn).=10 8a, a). Find the centroid of the holeY2aYnXna2a x

Answered: Image /qna-images/answer/2f2b4778-fd6a-4c51-9b5e-b7e2fd21a59e.jpg

Consider a 2-dimensional system. A square of side length 2a has a square hole of side length a inside. The centroid of the square with the hole is rcm = a, a). Find the centroid of the hole (Xn, Yn). 10 8 9 Y 2a Yn Xn a 2a x

Consider a 2-dimensional system. A square of side length 2a has a square hole of side length a inside. The centroid of the square with the hole is rcm = a, a). Find the centroid of the hole (Xn, Yn). 10 8 9 Y 2a Yn Xn a 2a x

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter8: Centroids And Distributed Loads

Section: Chapter Questions

Problem 8.38P: The equation of the catenary shown is y = 100 cosh (x/100) where x and y are measured in feet (the...

See similar textbooks

Related questions

Q: 2. A circular cone having an altitude of 9m is divided into 2 segments having the same vertex. If…

Q: The corners of a triangle are at (4, 4), (10, 8), and (12, 4). The diameter of a semi-circie ends at…

Q: For the solid area, what is the second moment about the y axis? C. (include units with answer) For…

Q: 4. Find the centroid of the figure shown.

Q: Thin wire bent into a three-sided "u" shape in the form of a block with pieces of equal length "b"…

Q: Q1. (20’) Consider the shaded square region on the s-plane, as shown in Fig. Ql. Let p =-Cw, +…

A: Given…

Q: Determine the centroid of the area shown below figure by the direct integration method.

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: = -8 Find the volume of the pyramid with base in the plane z = and sides formed by the three planes…

A: Find the volume of pyramid.

Q: A cube of side a is cut out of another cube of side b that has a uniform density, as shown in the…

Q: Listen For the composite area shown in the image below, if the dimensions are a 38 mm, - 212 mm, c =…

Q: For a=1.2 m, which of the following is the geometric center of the shaded area in m according to the…

A: The geometric center of anybody is also known as centroid. Centroid, also called as center of area…

Q: 2. Calculate the centroid of the plane area shown in below figure- 2 below. Take hl = 14 cm and h2 =…

Q: .Find the centroidal distances from x-axis and y-axis. 30 mm 60 mm 20 mm 10 mm 70 mm 20 mm 70 mm

A: It is required to determine centroid of given section

Q: Constant thickness homogeneous planar plate in the figure coordinates of the center of gravity M…

A: Given data, a = 9 t = 3 Find Centre of Gravity.

Q: 200 200 -400 400 300 300 Dimensions in mm The location of the centroid of the shaded area about…

A: It is required to determine centroid of given section

Q: Calculate the y- and z- coordinates of the point at which the resultant of acting on the object…

A: Given data Given force system

Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the…

A: Write the given expression. y=1x2+1x2+1=1yx2=1y-1

Q: Determine the centroid of the area of the shaded region shown in Figure. 50 mm 50 mm 150 mm 150 150…

A: following is the solution to the above problem

Q: y' 104 in 4 417 in4 1670 in 4 223 in4 C b x' h If b = 10 in and h = 5 in, what is Ix'. The x'-y'…

A: Given, A rectangular component with b = 10 in. and h = 5 in.To Find - Ix'

Q: Find the center of gravity (x.y) of the figure given below according to the axes set.

A: Draw a labeled diagram of the given figure. Make a table to obtain the required parameters. Sr.…

Q: Find the position of the centroid of the figure below. 80 mm 80 mm 60 mm 120 mm 40 mh 60 mm 160 mm…

A: each section area and centroid are calculated. finally x = sigma(Aixi/Ai) y = sigma(Aiyi/Ai) Answer:…

Q: Find the centroid of the following plane figure. 12 5 5 10 Ø6

A: Solution:

Q: Find the position of the centroid of the figure below. y 80 mm 80 mm 60 mm 120 mm 40 mm 60 mm

A: To determine the position of the centroid.

Concept explainers

Atomic diffusion in solids

In material science, diffusion can take place in solid, liquid, and gases. In solids, atomic diffusion can take place with the help of thermally activated and randomly vibrating atoms. The atomic diffusion in solids is complex and very slow in comparison to atomic diffusion in liquids and gases because the interatomic distance between the atoms is smaller in solids as compared to liquids and gases.

Question

Consider a 2-dimensional system. A square of side length
2a has a square hole of side length a inside. The centroid of the
with the hole is rcm
square
(Xn, Yn).
=
10 8
a, a). Find the centroid of the hole
Y
2a
Yn
Xn
a
2a x

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 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

Using the method of composite areas, find the dimension h that maximizes the centroid coordinate y of the plane region shown.
Compute the surface area of the axi-symmetric domed structure.
Determine Ix for the triangular region shown.
The parametric equations of the plane curve known as a cycloid are x=a(sin) and y=a(1cos). Use integration to find the coordinates of the centroid of the cycloid obtained by varying from 0 to 2 rad.
The equation of the catenary shown is y = 100 cosh (x/100) where x and y are measured in feet (the catenary is the shape of a cable suspended between two points). Locate the y-coordinate 0f the centroid of the catenary by numerical integration using x=25ft.
A circular region of radius R/2 is cut out from the circular region of radius R as shown. For what distance d will kx for the new region be the same as kx (for the region before the cutout was removed?
Determine Ix and Iy for the plane region using integration.
The hemispherical glass bowl is filled with water. Find the location y of the center of gravity of the filled bowl. Approximate the bowl as a thin shell of radius R=6.15in. Use 1=162lb/ft3 for glass and 2=62.4lb/ft3 for water.
Determine the dimensions of constants A and B far which the following equation is dimensionally homogeneous: F=Akx2sinBxk where F is a force, x is a distance, and k represents stiffness (dimensions: [FL1]).
Figure (a) shows the cross section of a column that uses a structural shape known as W867 (wide-flange beam, nominally 8 in. deep, weighing 67 lb/ft). The American Institute of Steel Construction Structural Steel Handbook lists the following cross-sectional properties: A=19.7in.2,Ix=272in.4, and Iy=88.6in.4. Determine the dimensions of the rectangle in Fig. (b) that has the same Ix and Iy as a W867 section.
Let A and B be two nonparallel vectors that lie in a common plane S. If C=A(AB), which of the following statements are true: (i) C = 0; (ii) Clies in plane S; and (iii) C is perpendicular to plane S?
Set up and evaluate the integral that gives the volume of the solid formed by revolving the region about thexaxis. Step 1 From the figure consider the representative rectangle. The radius of the solid of revolution obtained by revolving the rectangle about the xacis is R(X) -y9- To find the volume of a solid of revolution with the-Select mathod, use the horizontal axis of revolution. Select disk shel Volume-VE