Cross section area and dimensions of a bar is shown below. a-) Find location (coordinates) of the centroid. b-) Calculate moment inertia Ix and ly about the axes whích pass from the centroid. 2cm 2 cm 2 cm 2cm 8 cm

Cross section area and dimensions of a bar is shown below. a-) Find location (coordinates) of the centroid. b-) Calculate moment inertia Ix and ly about the axes whích pass from the centroid. 2cm 2 cm 2 cm 2cm 8 cm

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

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter9: Moments And Products Of Inertia Of Areas

Section: Chapter Questions

Problem 9.3P: The moments of inertia of the plane region about the x- and u-axes are Ix=0.4ft4 and Iu=0.6ft4,...

See similar textbooks

Related questions

Q: Find the moment of inertia about centroidal XX axis width=6 m Depth=10 m

A: Given data : Width is denoted by b Depth is denoted by d Required : Moment of inertia about…

Q: 3. Given the modified steel section (added plate) shown in the diagram below, locate the centroid of…

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: The moments of inertia of the area A about the parallel p- and p' -axes differ by 15 10 mm. Compute…

Q: Determine the centroid of the shaded area shown in figure 2. Determine the moment of inertia about…

A: Consider the following figure:

Q: Determine the centroidal moment of inertia.

A: Given:- Rectangle To Find:- Centroidal moment of inertia of a rectangle Solution:- Centroidal…

Q: Determine the principal moments of inertia for the beam’s crosssectionalarea shown in Fig. with…

A: Draw the beam and label its different parts.

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

Q: Find the moment of inertia about centroidal XX axis Width 6 m Depth=10 m

A: Given:Width of the section, w=6mDepth of the section, d=10 m To determine the moment of inertia…

Q: PROBLEM 01: Locate the centroid (in m) of the shaded area shown in Fig. Also, find the Moment of…

Q: 3. Determine the moment of inertia with respected to x- (horizontal) and y- (vertical) axis through…

Q: The moments of inertia of the area A about the parallel p- and p' -axes dif by 15*10 mm . Compute…

Q: 75 mm 25 mm 25 mm B)

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

Q: Given the figure below. Find (a) location of the centroid. (b) moments of inertia with respect to…

Q: calculate Inertiax-x calculated the centroid with respect to Y, calculate the Inertiay-y Enter the…

Q: In the given figure below, locate the centroid from x and y axis. In addition, determine the Moment…

Q: With respect to coordinate axes x and y, locate the centroid of the shaded area in the figure, also…

Q: A beam is constructed by welding two C152 x 16 channels together back to back and welding two C178 x…

Q: In the fig. shown, compute the following: (a) Components of the centroid r= 38 in. 16 in. (b) The…

Q: Prove that the centroidal polar moment of inertia of a given area A cannot be smaller than A2/2π…

A: The centroidal polar moment of inertia of a circular area is given by Area of circle is given by

Q: 2. Given the figure below. Find (a) location of the centroid, (b) moments of inertia with respect to…

Q: Determine the moment of Inertia about given x and y axis in the following figure if a = 10 mm. %3D

A: As per the guidelines, I can solve only first question this time. For rest questions please repost…

Q: 3. Determine the moment of inertia with respected to x- (horizontal) and y- (vertical) axis through…

Q: Calculate the moment of inertia along x & y axis and polar moment of inertia with respect to the…

Q: following question: 1. Locate the centroid Y ̅ of the composite are shown, then determine the moment…

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

Q: Calculate ly the moment of inertia for the composite section about the x-axis. in4 ENTER Calculate…

Q: In the figure shown, compute the following: (a) Components of the centroid ẍ = ________ ; ȳ =…

A: To determine the centroid of the figure

Q: Part A: a) Find the ?̅ ,? ̅ coordinates of the centroid of the beam’s cross-sectional area.…

Q: For each area shown, find the moment of inertia of the area with respect to the horizontal centroi

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

Q: 1. Find centroid relative to x and y axes 2. Calculate the moment of inertia for Ix and Iy relative…

Q: Calculate the centroid of the composite shape in reference to the bottom of the shape and calculate…

A: A body revolves around a fixed axis in rotational motion. The inertia moment is the property of the…

Q: For the figure shown. A. Which of the following most nearly gives the coordinates of the centroid…

A: The centroid is the center of the unshaped body which made from a shaped body. It is the point at…

Q: 5) By locating the centroid position for the given lamina shown in figure, find the moment of…

A: Given: First triangle ABC b1 = 200 mm, h1 =100mm G1 is the centroid of this triangle wrt to x-axis…

Q: Problem 1. Calculate the area moment of inertia of the beam cross-section shown about the x' and y'…

A: Given:- A beam with cross-section dimensions To find:- Area moment of inertia about x' and y' axis…

Q: The moments of inertia of the area A about the parallel p- and p' -axes differ by 15*10ʻmm . Compute…

A: Given data Ip-Ip'= 15×106 mm4

Q: Given the figure below. Find (a) location of the centroid, (b) moments of inertia with respect to…

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: Calculate the moment of inertia along x & y axis and polar moment of inertia with respect to the…

Q: 9. Find the Area Moment of Inertia ly about the Y-axis, if a = 9 inches, b = 18 inches h = 9 inches,…

A: Consider the given figure. Find the total area of the given region which is the sum of the areas of…

Q: Find the centroid of the section in the figure. Calculate the moments of inertia Iz , ly with…

A: Centroid reprsents the point within the section at which the whole section can be balanced.

Q: In the fig. shown, compute the ff: Centroidal axis, ỹ =, Moment of inertia with respect to the…

Q: Calculate the centroid of the composite shape in reference to the bottom of the shape and calculate…

Q: Determine the centroid polar moment of inertia of a rectangle 100 mm wide by 200 mm high.

Q: 25 mm The moments of inertia of the area A about the parallel p- and p' -axes differ by 15*10° mm? .…

Q: build the Mohr circles of the axes that pass through the origin and the centroid, showing the…

A: Given data: The height of the outer rectangle is, h=6a. The length of the outer rectangle is,…

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

Cross section area and dimensions of a bar is shown below.
a-) Find location (coordinates) of the centroid.
b-) Calculate moment inertia Ix and ly about the axes which pass from the centroid.
2cm
2 cm 2 cm
2cm
8 cm

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

The moment of inertia of the plane region about the x-axis and the centroidal x-axis are Ix=0.35ft4 and Ix=0.08in.4, respectively. Determine the coordinate y of the centroid and the moment of inertia of the region about the u-axis.
The L806010-mm structural angle has the following cross-sectional properties: Ix=0.808106mm4,Iy=0.388106mm4, and I2=0.213106mm4, where I2 is a centroidal principal moment of inertia. Assuming that Ixy is negative, compute (a) I1 (the other centroidal principal moment of inertia); and (b) the principal directions at the centroid.
Using integration, compute the polar moment of inertia about point O for the circular sector. Check your result with Table 9.2.
The moments of inertia of the plane region about the x- and u-axes are Ix=0.4ft4 and Iu=0.6ft4, respectively. Determine y (the y-coordinate of the centroid C) and Ix (the moment of inertia about the centroidal x-axis).
Compute the principal centroidal moments of inertia for the plane area.
Please find the centroid and moment of Inertia around axis X and axis Y passing through of centroid of cross-sections below: I got 1910.67cm^4 for the y axis and 108cm^4 for the x axis but someone else disagrees
In the figure shown, compute the following: (a) Components of the centroid ẍ = ________ ; ȳ = ______ (b) The total moment of inertia with respectto the centroidal ȳ axis I ȳ = _______ in4
For the surface shown in the figure below, determine:a) The xc and yc coordinates of its centroid;b)The moments of inertia and product of inertia in relation to the centroidal axes x' and y' (axes parallel to x and y , which pass through the centroid);c)Using Mohr's circle, the new moments and product of inertia obtained by rotating these centroidal axes by 35° counterclockwise.
1. Find centroid relative to x and y axes 2. Calculate the moment of inertia for Ix and Iy relative to centroid
For the image below: 1. Determine the centroid y 2. Determine the Moment of Intertia Ix 3. Determine moment of inertia Iy
derive the formula for the moment of inertia of a rectangle rotated about the centroidal x-axis Icx having a base b depth d, by using integration (parallel axis method). make an illustration
Determine the moment of inertia of the beam's cross-sectional area about the x axis. only HANDWRITTEN answer needed ( NOT TYPED)