Answered: By locating the centroid position for…

By locating the centroid position for the given lamina shown in figure, find the moment of inertia for it about the centroid axis parallel to the base.

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 9.78P: The L806010-mm structural angle has the following cross-sectional properties:...

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: The moment of inertia starts with the knowledge of centroids of area. Figure below shows a triangle…

A: Given data Base = b Altitude = h

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

A: Consider the following figure:

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

A: Note: As per policy, we can solve the first question from multiple questions. Please resubmit the…

Q: Illustrate the location of the centroids and write down the formulas for areas and moment of inertia…

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

Q: Consider the shaded area shown in the figure. Suppose that a = 6 in. , b = 3 in. , and r = 2 in.…

A: We have to Determine the moment of inertia for the shaded area about the y axis.

Q: Determine x for the cross-sectional area of the channel-shaped beam as shown in Figure Q3 and find…

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

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

Q: Find the moment of inertia about centrodial x-axis and centroidal y-axis of the given geometry.

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

Q: Find the Area Moment of Inertia about a y axis passing through the centroid (ly) of the composite…

A: Given:-Shaded portion To find:-Area moment of inertia about Iy

Q: In the fig. shown, compute the following: (a) Components of the centroid r38 in. 16 in. (b) The…

A: Answer: (a) The components of the centroid: X = 1.6425 inch and Y = 17.4627 inch. (b) The…

Q: A structural steel built-up section is fabricated as shown. Calculate the moment of inertia about…

Q: Calculate the polar radius of gyration of the shaded area about its centroid C. Assume t = 105 mm, a…

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: Compute the moments of inertia with respect to the X-X and Y-Y centroidal axes for the composite…

A: Divide the given shape into sections as shown: The centroid of each section are shown above. Since…

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

A: To determine the centroid of the figure

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

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…

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

Q: For the region shown. Calculate the principal moment of inertia, if it has its centroid x = 46.52mm…

A: Draw a diagram for the given section. Here, C is the centroid of the given cross-section. Calculate…

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: derive the formula for the moment of inertia of a rectangle rotated about the centroidal x-axis Icx…

Q: Determine the radii of gyration for the half circle with respect to shown in Fig. An axis through…

Q: Assume the piece of wood in the y-direction is centered with the other piece of wood. Find centroid…

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

Q: Find the moment of inertia about centroidal X-axis and centroidal Y-axis of the given geometry

A: The x-cordinate of centroidal,…

Q: (b) Find out (i) Centroid, (ii) Area-moment of inertia of a triangular lamina of base b and height h…

A: b) Consider the triangular lamina ABC as shown in the figure below. Let h be the height of the…

Q: calculate Moment of inertia (Ix ,ly) and the centroid _ and _ Ху 0.4 m 0.05 m -0.3 m→ '0.2 m'0.2 m'…

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: Find out area - moment of inertia of a triangular lamina of base b and heigt h about an axis passing…

A: here, b is the base of the triangle h is the height of triangle C is the centroid of the triangle…

Q: Find: - Centroid - Ix, ly and Ixy with respect to the axes passing through the centroid of the…

A: Consider 3 parts of the give shape as shown below. For part (1): dimensions of the rectangle are:…

Q: For the part below that consists of a semicircle on top of a rectangle, with r = 4 in and h= 9 in,…

A: a. Centroid :

Q: Find the centroidal area moment of inertia of the shaded region and the radius of gyration about the…

Q: Determine the centroidal x-axis from the x-axis and the moment of inertia about centroidal x-axis…

Q: The concrete block shown has wall thicknesses of 40 mm, voids that are 95 mm x 110 mm, and is 190 mm…

Q: For the part below that consists of a semicircle on top of a rectangle, h =1 in, determine: a.…

A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,…

Q: Find the moment of inertia about the centroidal axis of the given figure.

A: Given:- R=2m To find:- Moment of inertia about the centroidal axis

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: Find the moment of inertia about centroid X-axis and centroidal Y-axis of the given geometry.

A: Given compound area is divided into 3 different parts as shown below. Consider origin at 'O' (0,0).…

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: For the composite area shown below, determine the moment of inertia about the horizontal centroidal…

A: Moment of inertia about centroidal x-axis : Ix' = [ Ix']total section - 2[ Ix']hole =BD312 - 2 ×…

Q: find the moment of inertia of the area with respect to the horizontal centroidal axis.

A: Answer: The moment of inertia with respect to the horizontal centroidal axis is 820 in4.

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

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

5) By locating the centroid position for the given lamina shown in
figure, find the moment of inertia for it about the centroid axis
parallel to the base.
-120 mm -
-200 mm
CG = (0 mm, 40.8 mm);
IG = 383.73 x 104 mm4;
%3D
60 mm-
100 mm

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

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 5 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

Compute the principal centroidal moments of inertia for the plane area.
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.
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.
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=110 mm, d1=38 mm, b2= 70 mm & d2=100mm. b2 d2 TP b1 (i) The X value is (unit is in mm) = (i) The Y value is (unit is in mm) = (iii) the Ixx1 value is (unit is in mm4)= (iv) the Ixx2 value is (unit is in mm4)= (v) The Ixx 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
Find the moment of inertia (ly) of the given lamina about Y-Y axis passing through its centroid, where b1=114 mm, d1=33 mm, b2= 50 mm & d2=86mm. of (enter only the values in the boxes by referring the units given in bracket) b2 stion d2 d1 b1
Find the moment of inertia of the given lamina about X-X axis passing through its centroid, where b1=110 mm, d1=38 mm, b2= 70 mm & d2=100mm. (enter only the values in the boxes by referring the units given in bracket) b2 TP b1 (i) The X value is (unit is in mm) = (i) The Y value is (unit is in mm) = (iii) the Ixx1 value is (unit is in mm4)= (iv) the Ixx2 value is (unit is in mm4) = (v) The Ixx value is (unit is in mm4)=
Calculate the moment of inertia about the centroid in the y axis (ly) if H=7 in, h=1.2 in, B=8 in and b=0.6 in. Remember that you need to calculate first the centroid of the section.
In the fig. shown, compute the ff: 5 in Centroidal axis, ỹ = 8 in. Moment of inertia with respect to the base(x-axis), I = e-s in.-→e8 in.→|
Find the centroid of the region in the first quadrant bounded by the x-axis, the parab y=2x, and the line x +y = 4. Find the moment of inertia about the x-axis of a thin plate bounded by the parabola y and the linex+y =0 if 8(x, y) = x + y.
Question 1 Find (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 - 21.5mm Ixs 4.3x10* mm" ; Ty: 1.Sxlo* mm 5mm 13 mm Somm 13 10 Mm mm MM Mm