Answered: Determine the moment of inertia of the…

Determine the moment of inertia of the shaded area about the x-axis in two different ways. Ans. I, = a* 584 за 4a a a a a

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 9.36P: Determine the product of inertia with respect to the x- and y-axes for the quarter circular, thin...

See similar textbooks

Related questions

Q: Determine the moments of inertia Ix and ly of the shaded area, with respect to an axis passing…

A: we know thatmoment of inertia along centre is given byI=bd312and according to parallel xis…

Q: Q.2. Determine the moment of inertia of the composite area about the x and y axis. 150 mm -150 mm--…

A: find the moment of inertia about x axis and y axis.

Q: Q2/ Determine the moment of inertia of the composite area about the x and y axes. y 10 cm 20 cm 10…

Q: Calculate the polar moment of inertia of the shaded area about point O. y 33 mm 19 mm | Answer:I, =…

Q: yA y' 125 1 2 200 35.7mm X' 12.5an t=25mm unit: mm 3 X 75

A: B1=125-25 mm=100 mmH1=t mm=25 mm A1=100×25 mm2=2500 mm2 k1=25+50 mm=75 mm The Moment of Inertia of…

Q: Determine the moment of inertia of the figure shown with respect to y axis. 1.50m 0.75m 1.50m

Q: y ЗН mm 2 mm + 2 mm 2 mm 4H mm

Q: -y² = 1 – 0.5x 1 m 1 m -2 m-

Q: Calculate the moment of inertia of the shaded area about the x-axis. 72 mm 23 mm -36 mm -36 mm…

Q: Determine the moments of inertia of the Z-section about its centroidal xo- and yo-axes. -135 mm - 22…

Q: Determine the moment of inertia of the shaded area about the x-axis in two different ways. Ans. I, =…

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

Q: Determine the product of inertia of the beam’s cross-sectional area, shown in Figure, about the x…

A: Divide the beam’s cross-section into 3 different parts as shown below –

Q: Delermine the moment of inertia of the area ahout the y axis. 3 in.- 3 in.-- 6 in. 2 in. 4 in.

Q: Determine the product of inertia of the shaded area. The equation of the curve is xy=6. Ans. 23.5…

A: Product of inertia =Ixy where dA = dx.dy

Q: 2 9 = 40 2 00 m T00m

Q: 3. The shaded area has the following properties: I = 1.26 x106 mmª ; I, = 6.55 x105 mmª ; and Pxy =…

A: Given: The value of the moment of inertia of the shaded area about the x-axis is: Ix=1.26×106 mm4.…

Q: Determine the moment of inertia of the shaded area about the x-axis. y 갓⒤갓⒤ 19" - 8" - Answer: lx- i…

Q: 1" 6" 2" . 4"

Q: Given a 140 mm and b 102 mm. Determine the moment of inertia of the composite area about the x-axis.…

Q: Determine the moments of inertia of the rectangular area about the x- and y-axes and find the polar…

Q: Determine the moment of Inertia of the blue shaded composite area shown below about the y-axis only…

A: The given problem is divided into three parts Rectangle Circle Triangle 1. Rectangle: The moment…

Q: Determine the moment of inertia of the area about the x axis. Fig (5) y y=x 1m -1m

A: Let us consider an elemental area dA=ydx (y3=x2) Using the moment of inertia about rectangular…

Q: Determine the moment of inertia of the shaded area about the x-axis in two ways. The wall thickness…

Q: The difference between the moments of Inertia of area A with respect to the x1 and x axes is…

Q: By the method of this article, determine the moments of inertia about the x- and y-axes of the…

A: find the moment of inertia about x and y axis.

Q: Determine the product of inertia of the shaded area with respect to the x and y axes.

A: Consider a horizontal rectangular strip of length x and breadth dy at a vertical distance y from the…

Q: 3. The shaded area has the following properties: 1.26 x106 mmª ; I, = 6.55 x105 mm* ; and Ix = -1.02…

A: Given data The moment of inertia about the x-axis is Ix=1.26 * 106 mm4 The moment of inertia about…

Q: A/43 Determine the moment of inertia of the shaded area about the x-axis in two different ways. 58…

A: Ist method Moment of inertia of the shaded section about the x axis is Here is the moment of…

Q: Determine the product of inertia of the beam’s cross-sectional area,shown in Fig. A–a, about the x…

A: The diagram of the cross-section of the beam is given as, On using parallel axis theorem, moment…

Q: Determine the moments of inertia of the shaded area about the x- and y-axes. Answers: 0.315 Ix 0.137…

A: The given problem is divided into two parts, square and quarter circle The moment of inertia of the…

Q: Determine the moments of inertia of the shaded area about the x- and y-axes. Also determine the…

A: Calculating Moment of inertia with respect to X axis tan(α) = 0.49 h/h α= 26.10 °=0.455 radians…

Q: Determine the moments of inertia of the shaded area about thex- and y-axes. Also determine the polar…

Q: Determine the moment of inertia 12 mm 12 mm of the shaded area about x and y axis. 6 mm S mm- 24 mm…

A: Given, I section Divide I section in 3 part as shown in figure below.

Q: Moment of Inertia of an Area w.r.t (a) the x-axis (b) the y-axis Determine the second moment of the…

Q: By the method of this article, determine the moments of inertia about the x- and y-axes of the…

A: Find the moment of inertia about x and y axis.

Q: Determine the product of inertia of the shaded area with respect to the x and y axes.

Q: Determine the moment of Inertia Ix (mm4) about the x-axis. Given: X1 = 1.6 mm x2 = 8 mm Y₁ = 1.8 mm…

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

A: Given Data: The given bottom curve is y=k1x2. The given upper curve is y=k2x12. Both curve extends…

Q: Determine the moment of inertia of the shaded area about the x-axis in two different ways. 3.0a a a…

Q: -0.52h -0.52h - 0.80h Answers: ly= i lo=

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: Calculate the moment of inertia of the shaded area about the x-axis. 81 mm 24 mm ·*- 42 mm 42 mm…

Q: b) Determine the moment of inertia of the cross sectional area about the centroidal Y' axis.. YA y'.…

A: Consider the given figure below representing the given areas , their centroids and the distance of…

Q: Determine the moment of inertia of the shaded area about the x-axis. Ok 5" 11" -x

A: Given,

Q: Determine the moment of inertia of the shaded area about the x axis. 2 in. 1 in. 4y =x 2

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

A: Solution: The given I Section can be divided into three areas, Area A1=24×6=144mm2 Area…

Q: Determine the moments of inertia I, I, and Jo in ft* for the section. X' y' y 11 ft 5.5 ft 22 ft ft4…

Q: Calculate the moment of inertia of the shaded area about the x-axis. 84 mm 33 mm -+- -50 mm 50 mm…

Q: Determine the moment of inertia of the shaded area about the y-axis. 3" 12" Parabolic Answer: I, = i…

A: Moment of inertia: The moment of inertia is defined as the product of mass and its square distance…

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

100%

A/43 Determine the moment of inertia of the shaded area
about the x-axis in two different ways.
Ans. I
%3D
4а
a
a
a

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 6 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 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).
Using integration, compute the polar moment of inertia about point O for the circular sector. Check your result with Table 9.2.
The product of inertia of triangle (a) with respect to its centroid is Ixy=b2h2/72. What is Ixy for triangles (b)-(d)? (Hint: Investigate the signs in the expression Ixy=IxyAxy.)
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.
Determine the product of inertia with respect to the x- and y-axes for the quarter circular, thin ring (tR) by integration.
Using Ix and Iu from Table 9.2, determine the moment of inertia of the circular sector about the OB-axis. Check your result for =45 with that given for a quarter circle in Table 9.2.
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 about the x-axis of the area bounded by the the curve y2 = x3, line x=1,& x-axis. Show complete solution and graph including strips. Solve using calculus.
what is the right answer and solution? Determine the moments of inertia of the shaded area about the x- and y-axes. Also determine the polar moment of inertia about point O.
Determine the moment of inertia with respect to the x and y axes of the area bounded by (y-1)2 =4-2x and the y-axis. Show complete graph and solution with strips.
Calculate the area moment of inertia of the object in the figure according to the x-axis (the part removed from the upper part of the object is a semicircle and its diameter is a mm). a=34 b=16 c=22
Determine the centroidal moment of inertia about horizontal and vertical axes. Use 3 decimal places for the final answer. Ix= __ in4 Iy= __in4