Answered: First Cluss Sample Problem 7/9:…

First Cluss Sample Problem 7/9: Determine the moments of inertia about the x- and y-axes for the shaded area. 130 mm 30 mm 30 mm 40 mm- -40 mm 320732.4

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: Determine the following: • Centroid of the shaded(Blue) portion • Polar Moment of Inertia at A 130…

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

Q: Compute for the moments of inertia and radius of gyration of the shaded area with respect to the x -…

A: Now first of all we need to separate the shapes

Q: Calculate the moment of inertia of the shaded area about the x-axis. 90 mm -50 mm mm -50 mm 4 IM" IN…

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

Q: Find Ix, ly, radii of gyration and product of inertia. Ø200 y Ø150 300 300 Ø50 50 -> 50 300

A: Solution:

Q: Determine for a region painted blue in the figure below the moments of inertia in with respect to…

Q: Compute for the moments of inertia and radius of gyration of the shaded area v respect to the x - y…

Q: Determine the moments of inertia of the Z-section about its centroidal xo- and yo-axes. -135 mm- 15…

A: To calculate the moment of inertia about x0 and yo of the diagram, we need to fix the origin I.e. at…

Q: Determine the moment of inertia of this section about x-axis and y-axis. This last must be typed in…

Q: Compute for the moments of inertia and radius of gyration of the shaded area with respect to the x-y…

Q: Determine the moments of inertia of the Z-section about its centroidal xo- and yo-axes. -125 mm- 24…

Q: By direct integration, determine the moments of inertia of the triangular area about the x-and…

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

A: Data given - As shaded area Need to determine ita moment of inertia

Q: Thin aluminum wire of uniform diameter is used to form the figure shown. Denoting the mass per unit…

Q: Determine the moment of inertia for the shaded area about the x-axis. Express your answer to three…

A: Draw the diagram for the given system.

Q: The lovely blue rectangle has a base of 290 mm and a height of 40 mm Use Mohr's Crde to determine…

A: Given: The base of rectangle, b = 290 mm The height of rectangle, h = 840 mm

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

Q: 09:the shaded aren skown in the figure fied Moment of Inertia With respect te X-aris. 1 2cm X -10am-

Q: 2 cm 2 cm 2.5 cm

Q: The molded plastic block has a density of 1300 kg/m³. Calculate its moment of inertia about the y-y…

A: Given: l=445mm=0.445mb=370mm=0.370 mh=80 mm= 0.08 mρ=1300 kg/m3 The mass of block is calculated as:…

Q: 90 10 10 10 20 Fig. 14b 30 10. 20 110 All dimensions are in 'mm'

Q: Determine the moment of inertia of the shaded area about the x-axis. 16" T-9² 7-9"-4 Answer: Ix=1…

Q: 10) Find the moment of inertia about the y-axis and the radius of gyration of the area bounded by…

A: To find: The moment of inertia about the y-axis and radius of gyration of the area bounded by the…

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

Q: A Figure consists of semicircle and quadrant. Determine the moment of inertia for shaded area about…

Q: Calculate the moment of inertia of the shaded area about the x-axis. 6.2" 3.2" y = kx? %3D 6.6"…

Q: 40 35 40 50

Q: View Policies Current Attempt in Progress Calculate the moment of inertia of the shaded area about…

Q: Calculate total moment inertia of a lamina if the density is 7750 kg/m. The measurements are in mm.…

Q: snip

A: GivenIuv=Ixsinθcosθ-Iysinθcosθ+Ixycos2θ-sin2θandwe have to prooveIuv=Ix-Iy2sin2θ+Ixycos2θ

Q: Calculate the moments of inertia of the shaded area about the x- and y-axes. 87 87 lx= 40 Answers:…

Q: Using Mohr’s circle, determine for the quarter ellipse of Prob. 9.75 the moments of inertia and the…

A: I of rectangle=bd312Ixx=(100X8312)+2(8X32312+(8X32)(202)) mm4Ixx=252757.333…

Q: Determine the moment of inertia of the area shown in Fig. 10-8a about the x axis. - 100 mm - 25 mm…

Q: Calculate the area moment of inertia around the x and y axes. Dimensions are in mm. 100 50 50 100

A: The height of the rectangle is h=200 mm. The breadth of the rectangle is b=150 mm. The radius of…

Q: ompute for the moment of inertia of the shaded region about its vertical centroidal axis. 250 Ø800…

Q: Calculate the moment of inertia of the shaded area about the x-axis. 82 mm 31 mm 47 mm →→ 47 mm…

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: y 4.5 3 3.5 45° 10.5 10

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

A: Given data as per question Height of bigger rectangle =160 mm considering part 1x1=18+40+422=50…

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

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

A: To calculate the moment of inertia we have to de3vide the fig. in two parts as shown in fig.…

Q: Choose the correct answer. (Second (moment of inertia about x-axis tomm lo tromm Samm Ix = 1.04 *…

A: given section is symmetrical I section : Momentum of inertia along second axis Ix = (a h3 /12) +…

Q: Calculate the moment of inertia of the shaded area about the x-axis. 93 mm 93 mm 51 mm Answer:I,-i…

A: Square length, a= 93 mm Quarter circle radius, r= 51 mm Note:

Q: Determine the moments of inertia of the Z-section about its centroidal xo- and yo-axes. Ans. I, =…

Q: Using Mohr’s circle, determine for the quarter ellipse of Prob. 9.67 the moments of inertia and the…

A: The expression to calculate the inertia along x-axis is, Ix=π162aa3=π2a4 The expression to calculate…

Q: Calculate the moment of inertia of the shaded area about the x-axis. 79 mm Answer: I = 26 mm * 45 mm…

Q: Question 5a) 5 significant digits in mm^4 * Determine the moments of inertia of the Z-section about…

Q: 2a- a Figure 1

A: Given, a = 10 mm

Q: View Policies Current Attempt in Progress Determine the moment of inertia about the x-axis of the…

A: Moment of Inertia without hole, Ix = 0.3662 b4. Moment of Inertia with hole, Ix = 0.3376 b4.

Question

i need the answer quickly

First Class
Sample Problem 7/9: Determine the moments of inertia about the x- and y-axes for the
shaded area.
130mm
30 mm
30 m
-40 mm
-40 mm→
320 732.4

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

Step 2

Step 3

Step 4

Step by step

Solved in 4 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

Using integration, compute the polar moment of inertia about point O for the circular sector. Check your result with Table 9.2.
Find the center of mass and the moment of inertia about the y-axis for a thin plate bounded by the x-axis, the lines x = ±1, and the parabola y=x² if 8(x,y) = 7y+2. The coordinates of the plate's center of mass are x = and y = (Simplify your answers. Type integers or simplified fractions.)
The shaded area shown in (Figure 1) is bounded by the line y=zm and the curve y² = 2.22 m², where is in m. Suppose that a 2.2 m. Figure yux a 10/1 Part A Determine the moment of inertia for the shaded area about the y axis. Express your answer to three significant figures and include the appropriate units. 1,- Submit HÁ Value Provide Feedback Bequest Answer Units Next
For a given non-symmetric area and origin, when plotting Mohr's Circle, a reference point doesn't lie on the circumference but is located at the average distance between Imax and Imin at (297, 0). This reference point is the center of Mohr's Circle must correspond to one of the two principal moments of inertia corresponds to an axis on the cross-section that is not principal O provides the radius of Mohr's Circle that is equal to 297 provides the diameter of Mohr's Circle that is equal to 297
Find the moment of inertia of the shape in the figure 90 mm 30 mm 30 mm 90 mm Empty (-) |=3200000 mm4 None of them I=5400000 mm4 |=4920000 mm4
Find the moment of inertia of the complex 2D lamina as shown in the figure. All dimensions are in 'mm'. A R30 09 Ø30
Part A Consider the shaded area in (Figure 1). Determine the moment of inertia of the area about the x axis, if h = 5 in. Express your answer in inches to the fourth power to three significant figures. Figure 1 of 1 vec Ir = in4 Submit Request Answer ry= h-x² Provide Feedback Next >
A |7 Not Quarter-circle L = 0.11 0.11 Semi-circle I= 0.11 -2 6 2 0 Determine the moment of inertia and radius of gyration about the x- axis for the quarter-circle and the semi-circle. Grid units are [mm]. NY 2 * k= X * k = 0.264 X
For the section below: а. Determine the moment of inertia with respect to the X-axis. b. Determine the moment of inertia with respect to the Y-axis. C. Determine the moment of inertia with respect to the X'-axis. 40 mm 80 80 30° tw = 40 mm 40 mm 200 mm 9. 300 mm 220 mm
If you know a rigid body's moment of inertia about an axis through the center of mass, how do you calculate the moment of inertia for the axis parallel to the center of mass? (Note: It is not required to prove your answers. Please only describe it. You can directly write the final equation) *Dosva vüklemaniz için
Q5: Find the both moments of inertia (Ix, ly) by integration around the central coordinates as shown in next figure. (15 degrees)
For the orange shaded area shown in the image below, if the coefficients for the function a = 1.4 and b= 2.9, determine its area moment of inertia ly about the given y- axis. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. а - х y2 : %3D Your Answer: