Find moment of inertia of the cross-sectional area about the X-axis, Y-axis, and X'-axis, given: L1 = 60 mm, L2 = 20 mm, L3 = 60 mm, L4 = 90 mm L L21 L3L.x'.5 L2LaFind moment of inertia of the cross-sectional area about the X-axis, Y-axis, and X'-axis, given:L1 = 60 mm, L2 = 20 mm, L3 = 60 mm, L4 = 90 mm

First of all the dividing the section in four different areas, A1=L2×(L1+L2+L3+L2+L3+L2+L1)…

Answered: Find moment of inertia of the…

Find moment of inertia of the cross-sectional area about the X-axis, Y-axis, and X'-axis, given: L1 = 60 mm, L2 = 20 mm, L3 = 60 mm, L4 = 90 mm

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 9.4P: The moment of inertia of the plane region about the x-axis and the centroidal x-axis are Ix=0.35ft4...

See similar textbooks

Related questions

Q: determine moment of inertia about x -axis.

Q: 2. Given: Shaded area shown below Find: (1) moment of inertia about x-axis and (2) y-axis y =x!/2 1…

Q: Calculate the moment of inertia of the shaded area about the x-axis. Ix=?

A: To determine the moment of inertia about x-axis.

Q: 1. Determine the moment of inertia of the closed area with respect to the x and y axis as shown in…

Q: Determine the moment of inertia about the x-axis of the rectangular area without and with the…

A: Moment of inertia: It is a measure of the rotational inertia of a body which oppose the rotational…

Q: Calculate the area moment of inertia of the object in the figure according to the x1 and x2 axes.

Q: For the figure shown, b Use, a= 6.5 in; b= 3.6 in; and R=1.9 in. Find the moment of inertia of the…

A: The axis parallel Theorem says that the moment of body's inertia around every axis is the same as…

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

A: The moment of inertia of the semicircles about the x axis can be determined as,

Q: .5 L, L, 2L, .5 L, L,

A: Given

Q: Calculate the moment of inertia of the shaded area about the x-axis. A

A: Triangle: Base, b= 45+45= 90 mm Height, h= 84 mm Semicircle: Radius, r= 28 mm

Q: Find the maximum and minimum moments of inertia with respect to axes through point 0 of the shaded…

A: Data given - Maximum radius = 6'' Min radius = 4" The moment of interial for quarter circle is…

Q: Q. 1 Determine the moment of Inertia about given x and y axis in the following figure if a = 10 mm.…

A: Given that a=10mm ; The moment of inertia about x axis:⇒ Ixx= moment of inertia of rectangle about…

Q: Determine the moment of inertia and the radius of gyration of the shaded area with respect to the…

Q: Q. 1 Determine the moment of Inertia about given x and y axis in the following figure if a = 10 mm.…

A: Rectangle 3a×2aIxx=112×3a×2a3Ixx=2×104and Iyy=112×2a×3a3+3a×2a×.5a2 Iyy=6×104Now semicircle nearer…

Q: shaded

Q: Determine the moment of inertia about X-axis and Y-axis

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

Q: Equation of the parabola in (Figure 1) is y=(1/5)(400-x^2). dy=80mm Determine the moment of…

Q: find the moment of inertia about x-axis

Q: Calculate the moment of inertia of the figure about the X and Y axis

Q: Determine the moment of inertia with respect to the x and y axes of the area bounded by (y-1)2 =4-2x…

A: Concept: The equation of the moment of inertia about y-axis. Here, dA is the area of strip.

Q: Compute for the value of: Average Moment of Inertia Moment of Inertial about the Y-axis = 0.667 x…

A: Moment of Inertia about Y-axis, Iy = 0.667 × 106 mm4 Product of Inertia, Ixy =1 ×106 mm4

Q: Find the Moment of Inertia about the x-exes of the composite shape shown in the figure below. H 6cm…

Q: Q. 1 Determine the moment of Inertia about given x and y axis in the following figure if a = 10 mm.…

A: Given: The dimension, a = 10 mm

Q: 2 in. 15 in. 2 in. 2 in. 2 in.

Q: Find the both moments of inertia (Ix, Iy) by integration around the central coordinates as shown in…

Q: 100 mm 400 mm C 100 mm 400 mm -100 mm 600 mm- (a)

A: Divide given figure into three rectangles as shown. It is symmetry about y axis therefore centroid…

Q: the shaded area shown in the figure find Moment of Inertia With respect to the X-axis. 2cm -10 cm-

Q: L3 -x' L2 L3 L3 L3 LA L4 Find the moment of inertia of the cross-sectional shape about the x' axis,…

A: A centroid is defined as the geometric center of an area considered which indicates the average…

Q: 2. 1 Determine the moment of Inertia about given x and y axis in the following figure if a = 10 mm…

A: given data: radius of circle=a=10mm diameter=2a=20mm width of rectangle(b)=3a=30mm depth of…

Q: For the figure shown given that: R = 125 mm r = 0.0 mm Thickness = 15 mm %3D Determine the mass…

Q: Q. 1 Determine the moment of Inertia about given x and y axis in the following figure if a = 10 mm.…

Q: -Determine the moment of inertia of the shaded area of the figure below about y axis only.

Q: 15 mm L 15 mm| 20 mm 40 mm 30 mm M P G2 4r/3r r = 10 Kmm 2 25 mm G, M 20 mm Figure: 2a and 2b

A: Part (a) Draw the part (a) shaded figure and locate the centroid of each section. Determine the…

Q: 1. Find the moment of inertial of the rectangular area of Figure 1.0 abo centroidal x and y axes. dA…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Find the Moment of Inertia about the x-exes of the composite shape shown in the figure below.

Q: Q4) In the figure shown, determine the centroidal coordinates and moment of inertia about x &…

A: Draw the diagram by specifying the sections in the given diagram.

Q: Find the moment of Inertia of the area with respect to x-axis.

Q: Find the moment of inertia about the x-axis of the semicircular

Q: Find the moment of inertia about y-axis

Q: QUESTION 1) In the section in which geometric properties are given in figure; Calculate the moments…

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

Q: Determine the moment of inertia Ix for the shaded area about the x axis. -6 in. -3 in.- 6 in. 6 in.

Q: Find the Principal Moment of Inertia and the Principal axis of inertia of a uniform solid hemisphere…

A: Solution.

Q: Q. 1 Determine the moment of Inertia about given x and y axis in the following figure if a = 10 mm.…

A: A moment of inertia is a mass of the body when a body is rotating on an axis. The moment of inertia…

Q: Q. 1 Determine the moment of Inertia about given x and y axis in the following figure if a = 10 mm.…

A: MOMENT OF INERTIA : Is a measure of the resistance of a body to angular acceleration about a given…

Q: 2.1 Determine the moment of Inertia about given x and y axis in the following figure if a = 10 mm.…

A: As given that a=10 mm ;The moment of inertia about x-axis ⇒Ixx=moment of inertia of the rectangle -…

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

Find moment of inertia of the cross-sectional area about the X-axis, Y-axis, and X'-axis, given:
L₁ = 60 mm, L₂ = 20 mm, L₃ = 60 mm, L₄ = 90 mm

L L21 L3
L.
x'
.5 L2
La
Find moment of inertia of the cross-sectional area about the X-axis, Y-axis, and X'-axis, given:
L1 = 60 mm, L2 = 20 mm, L3 = 60 mm, L4 = 90 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

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 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

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 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).
It is known that for a given area Iy = 48 x 106 mm4 and Ixy = -20 x 106 mm4, where the x and y axes are rectangular centroidal axes. If the axis corresponding to the maximum product of inertia is obtained by rotating the x axis 67.5° counterclockwise about C , use Mohr’s circle to determine (a) the moment of inertia Ix of the area, (b) the principal centroidal moments of inertia.
A 0.2m hole is drilled into a 0.6m x 0.6m x 0 2m plate. The plate weighs 98 kN/m3. Determine the moment of Inertia about x, y, and z axis.
The moments and product of inertia of an L4 x 3 x 1/4-in. angle cross section with respect to two rectangular axes x and y through C are, respectively, Ix = 1.33 in4. Iy = 2.75 in4, and Ixy <0, with the minimum value of the moment of inertia of the area with respect to any axis through C being Imim = 0.692 in 4 Using Mohr’s circle, determine (a) the product of inertia Ixy of the area, (b) the orientation of the principal axes, (c) the value of Imax.
For the section shown, the moments and product of inertia with respect to the x and y axes areIx = 7.20 × 106 mm4Iy = 2.59 × 106 mm4Ixy = − 2.54 × 106 mm4Using Mohr’s circle, determine a. the principal axes of the section about O,b. the values of the principal moments of inertia of the section about O.
For the entire section shown, the moments of inertia with respect to the centroidal x and y axes at point C are Ix = 0.162(106) mm4 and Iy = 0.454(106) mm4, respectively. a. Determine the product of inertia with respect to the centroid at C, in mm4. b. Use a Mohr's Circle to determine the orientation (in degrees) of the principal axes of the section about the centroid C. c. Use the same Mohr's Circle to determine the values of the principal moments of inertia about the centroid C, in mm4.
The moments of inertia about the x- and u-axes of the plane region areIx = 14 × 10^9 mm^4 and Iu = 38 × 10^9 mm^4, respectively. If h = 200 mm, determine the area of the region, and the radius of gyration about the centroidal axis parallel to the x-axis.
Find ȳ and the moment of inertia about the X-axis, Y-axis, and X'-axis of the cross-sectional area, given: L1 = 11 in, L2 = 1.4 in, L3 = 7.5 in, L4 = 1 in.
Consider the shaded area shown. Suppose that a = 120 mm , b = 180 mm , and r = 80 mm . Determine the moment of inertia of the shaded area about the x axis. Ix = ?
Determine the moment of inertia (cm4) of the cross section shown if a=19cm, b=31cm, c=23cm, r=2cm, s=2cm, and t=2cm. With respect to the a) horizontal centroidal axis b) vertical centroidal axis
For the composite area shown in the image below, if the dimensions are a=28mm, b=218mm, c=282mm, and d=148mm, determine its area moment of inertia Ix' (in 10^6 mm^4) about the centroidal horizontal x'-axis (not shown) that passes through point C. Have 2 places after the decimal point.