Answered: EXERCISE NO.2: Determine the moment of…

Engineering

Mechanical Engineering

EXERCISE NO.2: Determine the moment of inertia about the x-axis of the figure FN mm (FN-10) mm SN mm MN 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 9.8P: Using integration, compute the polar moment of inertia about point O for the circular sector. Check...

See similar textbooks

Related questions

Q: Determine the polar moment of inertia of the circular area without and with the central square hole.…

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: Use spherical coordinates to find the moment of inertia about the z-axis of the solid of uniform…

A: Given data: ρ=cosφπ4≤φ≤π4 Need to determine the moment of inertia of about the z-axis.

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 moments of inertia of the Z-section about its centroidal xo- and yo-axes. - 100 mm…

A: following is the solution to the above problem -

Q: Determine the moment of inertia and the radius of gyration of the shaded area with respect to 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: 4. Determine the area moments of inertia Ix and Iy. 5 mm 5 mm 5 mm 5 mm 5 mm 5 mm 5 mm

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

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: L y Find the moment of inertia of the shaded area about the x-axis and y-axis, given: y? = x² and…

A: Area moment of inertia about an axis is actually second moment of area about that axis. If "dA" is…

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

Q: Calculate the polar radius of gyration of the shaded area about the center O of the larger circle.…

Q: Find the moment of inertia and radius of gyration about the x-axis using horizontal strips.

A: Given: The equation of parabola: →x=0.510.89y-12-2 The equation of straight line:…

Q: 4. Determine the moment of inertia of the area shown in Fig. 4 with respect to horizontal axis…

A: given;

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

Q: Determine the following based on the given illustration: d) The Radii of Gyration about the X and Y…

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

A: It is required to determine moment of inertia of square with and without hole about x-axis

Q: A/23 The plane figure is symmetrical with respect to the 45° line and has an area of 1600 mm². Its…

A: (a) The polar radius of gyration about O is 45.3 mm. (b) The radius of gyration about xo-axis is…

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

A: Given data: The radius of the circle = R Side of the square = 4R Need to determine the moment of…

Q: Calculate the polar moment of inertia of the shaded area about point O. 51 mm 24 mm Answer: I (106)…

Q: 1. Calculate the moment of inertia about x-axis of the first quadrant portion of the curve: y = 4 –…

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: Calculate moment of inertia about x-axis y y2 x = a[1. 62 a - x |

Q: Determine the moment of Inertia about given x and y axis in the following figure if a = 10 mm. %3D

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: The moment of inertia of a triangle of base 'b' and height 'h' about Y - Y axis passing through its…

A: As per the company's guidelines if multiple questions are asked only first question hast to be…

Q: From the figure shown, if b = 3 units, determine: Product of inertia, Ixy, in units4 Minimum…

A: Given data: ◆ The breadth of the rectangle = b ◆ The depth of the rectangle = 2b ◆ The value of b =…

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

Q: 37mm 29mm 37mm 38mm Fig. II 79mm

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

Q: DETERMINE THE MOMENT OF INERTIA USING THE GIVEN X-AXIS OF THE SHADED COMPOSITE AREA AND…

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: A- Determine the moment of inertia about the x axis. B-Determine the moment of inertia about the y…

A: Given that ,

Q: 100 mm 20 mm yo 3) Determine the moments of inertia of the Z -section about its centroidal xo - and…

A: Since, you have asked multiple questions in a single request, we would be answering only the first…

Q: 2) Please calculate the moments of inertia of the section given with respect to x and y axes.

A: The y co-ordinate of the centroid of the section,…

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: Calculate the moment of inertia of the shaded area about the x-axi

Q: Determine the moments of inertia of the shaded area with respect to the x and y axes. use a…

Q: 100mm 300mm 100mm

A: This Composite figure is made of three rectangle (1). Rectangle 1 (2). Rectangle 2 (3). Rectangle 3…

Q: Determine the moments of inertia of the Z-section about its centroidal xo- and yo-axes. -130 mm- 23…

Q: Determine the moments of inertia of the shaded area about the x and y axes. Given: a = 3 in b = 3 in…

A: Please find the solution below

Q: Determine by direct integration the moments of inertia of the trapezoidal area about the x- and y-…

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

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 -…

Q: Determine the moment of inertia with respect to the x and y axis of the area bounded in the first…

A: According to the details provided in the question, we need to find the moment of inertia of the…

Q: 100 mm 20 mm Yo 3) Determine the moments of inertia of the Z -section about its centroidal xo - and…

A: Draw the schematic diagram of the Z-section.

Q: 2. Find the moment of inertia and radius of gyration about the coordinate axes of a thin rectangular…

A: (a) Moment of Inertia : Ix = Iy = 27 unit4. (b) Radius of Gyration : rx = ry = 1.73205 unit.

Concept explainers

Free undamped vibrations

Whenever an object/system displaces in either side of its equilibrium position with the help of an external/internal means, then the object/system moves regularly or randomly on both sides of its equilibrium position. This motion is called vibration. Generally, there are three types of vibration: longitudinal vibration, transverse vibration, and torsional vibration.

Question

FN=130 MN=55 SN=130

CENTROIDS/MOMENTS OF INERTIA
EXERCISE NO.2:
Determine the moment of inertia about the x-axis
of the figure
FN mm
IT
SN mm
(FN-10
mm
MN mm

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

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).
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.
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.)
Using integration, compute the polar moment of inertia about point O for the circular sector. Check your result with Table 9.2.
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.
For the blue shaded area shown in the image below, if dimension a = 1.5 m, determine its area moment of inertiaI¯y' (in m4) about the centroidal vertical y'-axis. Note: b is not equal to a and is b=a^3
Determine the moment of inertia about the horzontal axis through the centroid, x bar of the composite shape. Also, determine the moment of inertia about the vertical axis through the centroid, y bar of the composite shape
Determine the moment of inertia of the shaded figure about the x-axis and y-axis (Ix and Iy) and centroidal moment of inertia (Ixo and Iyo).
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
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. Answers:Ix = __h4Iy = __h4IO = __h4