For the area shown, the moment of inertia about axis 1 is 125 in^4 and the total area is 23 in^2. If d1 = 1 in., d2 = 1.3 in. and d3 = 1.1 in., what is the moment of inertia about axis 4? Express your answer in in“, to the nearest 0.1 in“. Axis 4 d3 3 *d2 2 1

For the area shown, the moment of inertia about axis 1 is 125 in^4 and the total area is 23 in^2. If d1 = 1 in., d2 = 1.3 in. and d3 = 1.1 in., what is the moment of inertia about axis 4? Express your answer in in“, to the nearest 0.1 in“. Axis 4 d3 3 *d2 2 1

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 9.8P: Using integration, compute the polar moment of inertia about point O for the circular sector. Check...

See similar textbooks

Related questions

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: Find the moment of inertia of the shape about its centroidal axis x'. 5 mm 15 mm 50 mm 5 mm, 5 mm 15…

A: Draw a diagram for the problem. Here, x' is the centroidal axis, and y¯ is the distance between the…

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

Q: If the center of Mohr's Circle has a moment of inertia value of 182 in4, and a reference point lies…

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: Consider the lamina depicted below where the dimensions are given in mm. Determine the value of the…

Q: Find ȳ and the moment of inertia about the X-axis, Y-axis, and X'-axis of the cross-sectional area,…

A: Given :- Find ȳ and the moment of inertia about the X-axis, Y-axis, and X'-axis of the…

Q: Find moment of inertia of the cross-sectional area about the X-axis, Y-axis, and X'-axis, given:…

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

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

A: Given

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

A: Let us divide given shape in to 3 rectangular sections: Here, x1 = Axis parallel to x axis and…

Q: Calculate the moment of inertia of the steel (p = 7850 kg/m³) control wheel about its central axis,…

Q: The center of Mohr's Circle lies at (218, 0) in“ and the moment of inertia about the minor principal…

Q: -Determine moment of inertia of this cross section about the (x- axis) Ix , show detailed solution…

A: Centroid: It is a point on the figure at which the cut-out of the area can be perfectly balanced on…

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

Q: La |La L3 L2

A: A1=L1*L2 =10*1 =10 in2y1=0.5 inA2=L3*2*L4 =9*2*0.8 =14.4 in2y2=1+4.5 =5.5…

Q: Find ȳ and the moment of inertia about the X-axis, Y-axis, and X'-axis of the cross-sectional area,…

Q: For the L5 x 3 x 1/2-in. angle cross section shown, use Mohr’s circle to determine (a) the moments…

A: Dimension of L ,5 in X 3 in X 0.5 in

Q: P N G2 r = 10 4r/3r mm (2 25 mm L M 20 mm

A: given data: LP=MN=25mm LM=PN=20mm

Q: Determine the moment of inertia ly (in.) of the shaded area about the y-axis. Given: x = 3 in. y = 5…

Q: Determine the moments of inertia and the product of inertia of the L3 x 2 x 1/4-14 angle cross…

A: Consider the diagram shown below for the given figure, Now the product of inertia about the…

Q: 2. Som y=400X 200 m T00m S0m

A: As per given question Determine the moment of inertia about the CD axis

Q: Find the moment of inertia of the solid formed by revolving about ox the area bounded by * a?y = x3,…

Q: Find the center of mass and the moment of inertia about the y-axis of a thin plate bounded by the…

A: find the centre of mass and moment of inertia about y-axis.

Q: Find the moment of inertia of the follow ing section about the centroidal X axis(Fig(2)). s0mm 20mm…

A: To find the moment of inertia about centrodial X-axis.

Q: 100 mm 20 mm Yo 140 mm 20 mm 20 mm - 100 mm Determine the moments of inertia of the Z-section about…

A: CENTROID: The point at which the total area of a plane figure (like rectangle, square, triangle,…

Q: Q.6. For the figure shown below : B) Determine the moment of inertia for the shaded area with…

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

A: b1 = 110 mm d1 = 35 mm b2 = 62 mm d2 = 108 mm

Q: 1- Moment of inertia of a rectangular section of base (b) and height (h) about an axis through its…

Q: The shaded area has the following properties: Ix=1.26x10^6 mm^4, Iy=6.55x10^5 mm^4, Pxy=-1.02x10^5…

A: Given dataMoment of inertia about x axis Ix = 1.26×106 mm4Moment of inertia about x axis Ix…

Q: Find the moment of inertia about an axis perpendicular to the page and passing through the pin at O.…

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: Determine the moment of inertia with respect to the line y = 2 for the area enclosed by the ellipse…

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

A: Data given- I section Base = 180 mm Height = 160 mm

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

A: Given , Figure with dimensions To determine - The moment of inertia of the given figure along an…

Q: y 3 тm 1 y = -x2 169 7 mm Figure Q3.1: The shaded area Examine the moment of inertia of the shaded…

A: Given; y=-1169x2 Solution: The moment of inertia about the small part about x axis :…

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

A: Given data b1 = 108mm d1 = 38mm b2 = 62mm

Q: 3. Find the centroidal area moment of inertia of the shaded region and the radius of gyration about…

Q: For the section shown, if a = 3 cm, b = 6 cm and h = 24 cm, then the moment of inertia about the…

Q: For the entire section shown, the moments of inertia with respect to the centroidal x and y axes at…

A: moment of inertia of an area is the moment required by a solid body to overcome its resistance to…

Q: Figure 1 of 1 Part A Determine the moment of inertia of the composite area about the x axis. Set 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 moment of inertia of the composite area about the y axis. Set a = 160 mm, b = 160 mm,…

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: 仁 9. Find the Area Moment of Inertia Ix about the X-axis, if a = 7 inches, b = 14 inches h = 7…

A: Let the centroid of figure 1 be G1 and that of figure 2 be G2Now,Y1=73 inY2=72inNow the centriod of…

Q: Find the moments of inertia of the shaded shape about the given centroidal x-axis (Ix) and…

A: Given Data: ◆ Dimensions of the rectangle: b = 4 inch , h = 5 inch ◆ Side of the square: a = 2 inch…

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

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,…

Q: the moments of inertia Ix, Iy, I0 for a lamina in the shape of an isosceles right triangle with…

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

For the area shown, the moment of inertia about axis 1 is 125 in^4 and the total area is 23 in^2. If
d1 = 1 in., d2 = 1.3 in. and d3 = 1.1 in., what is the moment of inertia about axis 4? Express your
answer in in“, to the nearest 0.1 in“.
Axis
4
d3
3
*d2
2
1

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

Find the Moment of Inertia of the plate as shown in figure, passing through its centroid with reference to Y -Y axis. Where b1 = 55 mm, d1=110 mm, b2=160 mm, d2=30 mm, b3=65mm, d3=24mm. The value of is (unit in mm) = ______________ Answer for part 1 The value of is (unit in mm) = ______________ Answer for part 2 The value of total for the given plate is (unit in mm4) =________________ Answer for part 3
Determine the moments of inertia and the product of inertia of the L3 x 2 x 1/4-14 angle cross section of Prob. 9.74 with respect to new centroidal axes obtained by rotating the x and y axes 30° clockwise.(Reference to Problem 9.75):Using the parallel-axis theorem, determine the product of inertia of the area shown with respect to the centroidal x and y axes.
Find the moment of inertia of a triangular section having 50 mm base and 60 mm height about an axis through its centre of gravity and base. Answer :IG = 300 x 103 mm4; IBase = 900 x 103 mm4
The shaded area has the following properties: Ix=1.26x10^6 mm^4, Iy=6.55x10^5 mm^4, Pxy=-1.02x10^5 mm^4 Determine the moment of inertia about the x' axis if theta =30 degrees and the moments of inertia about the y' axis if theta=30 degrees
Determine the moment of inertia for the shaded area about the x-axis. Express your answer to three significant figures and include the appropriate units. Look at the images for the needed figure and details to answer the question. y_1=x m y_2=2.1x m^2
Determine the moment of inertia of the profile below in relation to the x axis. Make the entire calculation of the question.
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.
The shaded area has the following properties: Ix=1.26x10^6 mm^4, Iy=6.55x10^5 mm^4, Pxy=-1.02x10^5 mm^4 Determine the maximum moment of inertia and the minimum moment of inertia
Prove that the centroidal polar moment of inertia of a given area A cannot be smaller than A2/2π (Hint:Compare the moment of inertia of the given area with the moment of inertia of a circle that has the same area and the same centroid.)
Determine the moment of inertia, with respect to the centroidal axis (CE) parallel to the x-axis. Give your answer in inches. When solving the question please: 1)Free-Body diagram Clearly 2)dentify the data and constraints of the problem correct units 3)Equations used to solve the problem No big text just data
Find the centroid x bar of the shaded area and the moment of inertia along x or y axis Please make the answer clear and detailed,thank you
A built-up section fabricated by attaching a C180x15 to a W250x18 shape with 15 mm rivets as shown. Determine the moment of inertia at the centroid of the built-up section. Answer: Centroidal moment of inertia along x-axis= 48.857x106mm4 Need the complete solution, thanks!