Find the moment of inertia of the given lamina about X-X axis passing through its centroid, where b1=110 mm, d1=38 mm, b2= 70 mm & d2=100mm. (enter only the values in the boxes by referring the units given in bracket) b2 d2 b1

Find the moment of inertia of the given lamina about X-X axis passing through its centroid, where b1=110 mm, d1=38 mm, b2= 70 mm & d2=100mm. (enter only the values in the boxes by referring the units given in bracket) b2 d2 b1

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: N G2 4r/3r r = 10 mm 2) 25 mm G,/ P.

A: Given

Q: Find the moment of inertia about centroidal XX axis width=6 m Depth=10 m

A: Given data : Width is denoted by b Depth is denoted by d Required : Moment of inertia about…

Q: determine the moment of inertia with respect to the x′ axis passing through the centroid.

A: C

Q: a) Identify and locate the centroid, y on axis x'-x' for the parts cross-sectional area in Figure…

Q: Find the position of the cross-section’s centroid. Then, determine the moments of inertia of…

A: Draw the above given diagram. Write the centroid of all three sections. For 1,x1=6.5 mmy1=2.5 mmFor…

Q: Find the moment of inertia about centroidal XX axis Width 6 m Depth=10 m

A: Given:Width of the section, w=6mDepth of the section, d=10 m To determine the moment of inertia…

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: -y² = 1 – 0.5x 1 m 1 m -2 m-

Q: 3. Determine the moment of inertia with respected to x- (horizontal) and y- (vertical) axis through…

Q: Determine the moment of inertia of the composite figure about the centroidal x and y axis

A: The above diagram is divided into four sections Section 1:- A rectangle ABCD Section 2:- A triangle…

Q: For the composite area shown: 1. Locate the centroid in the x and y direction? 2. Find the moment of…

Q: Solve location of centroid and moment of Inertia with respect to the neutral axis. 300 mm 100 mm 50…

Q: Determine the moments of inertia for the cross-sectional area of the member shown in the figure…

A: The given cross-section can be drawn as :

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

Q: リ=400× Som 2 00 m

Q: y L h-y h dy y X b

Q: Locate the centroid of the composite cross-sectional area shown in the figure below. Also, determine…

A: We will convert into three components as shown below :

Q: . Determine the centroid of the composite figure. b. Calculate the moment of inertia with respect to…

A: The given section is as shown below,

Q: Example :1. Determine the centroid. Find Moment of Inertia about AB C D 40 100 100 70 150 50 A

Q: 2. Given the figure below. Find (a) location of the centroid, (b) moments of inertia with respect to…

Q: For the composite area shown in the image below, if the dimensions are a = 38 mm, b=240 mm, c = 276…

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: Cross section area and dimensions of a bar is shown below. a-) Find location (coordinates) of the…

Q: G2 4r/3r r = 10 mm 2 (1) G, 25 mm M 20 mm

A: Answer : The given geometry consists of two areas 1. Rectangle 2. Semicircle Moment of Inertia of…

Q: In the figure shown, compute the following: (a) Components of the centroid ẍ = ________ ; ȳ =…

A: To determine the centroid of the figure

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

A: As given for fig . 2b :The centroid in x-axis will be =10 mm ;The centroid in y-direction will be…

Q: A wooden beam is fabricated by nailing together three boards as shown. The boards have dimensions of…

Q: For the composite area shown: 1. Locate the centroid in the x and y direction? 2. Find the moment of…

A: Calculate the area and centroid of the triangle, Area of triangle, A1 = 0.5 x 150 mm x 200 mm =…

Q: A C-section is made up of three rectangles as shown in Figure. Find (i) The centroid of a section

A: Let us divide the C - section into three different rectangles of areas A1, A2 and A3 Assuming left…

Q: Assume the piece of wood in the y-direction is centered with the other piece of wood. Find centroid…

Q: 30 mm 80 mm x' x' R 30 mm R 50 mm

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: 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: 2. Compute for the Area, Location of centroids, Moment of Inertia with respect to x and y, and…

A: Given, a = 5m b =3m The given area can be divided into two sections section 1:- A rectangle ABCD…

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, Ix =1.26 *106 mm4 Iy =6.55*105 mm4 Ixy =-1.02*105 mm4

Q: From the given cross-sectional area of the beam. 1. Determine the location of the center of…

Q: 150 mm 750 mm_ P2 Determine y, which locates the centroidal axis x' 75 mm for the cross-sectional…

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: HW.2 For the shaded area shown in figure below, assume a value for a and find the following: 1-…

Q: Question 2 Calculate the following: i. The centroid ii. Moment of inertia of the channel section…

Q: Determine the location of the centroid for the shaded area in x and y Determine the moment of…

Q: 2,1) determine the distance of the centroidal axis (or neutral axis, NA) om the base or bottom of…

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

Q: For the composite area shown: 1. Locate the centroid in the x and y direction? 2. Find the moment of…

Q: Q-5. For the below given Cross-Sectional Area; determine; a. Centroid of the area; b. Moment of…

A: Centroid of an area is considered as the point which is located at the average distance from the…

Q: B) Locate the centroid x and determine the moment of inertia about x-axes.

A: Given

Q: Find the moment of inertia of a triangular section having 50 mm base and 60 mm height about an axis…

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 the moment of inertia of the given
lamina about X-X axis passing through its
centroid,
where b1=110 mm, d1=38 mm, b2= 70 mm &
d2=100mm.
(enter only the values in the boxes by
referring the units given in bracket)
b2
TP
b1
(i) The X value is (unit is in mm) =
(i) The Y value is (unit is in mm) =
(iii) the Ixx1 value is (unit is in mm4)=
(iv) the Ixx2 value is (unit is in mm4) =
(v) The Ixx value is (unit is in mm4)=

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 5

Step by step

Solved in 5 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

Compute the principal centroidal moments of inertia for the plane area.
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.)
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 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).
The L806010-mm structural angle has the following cross-sectional properties: Ix=0.808106mm4,Iy=0.388106mm4, and I2=0.213106mm4, where I2 is a centroidal principal moment of inertia. Assuming that Ixy is negative, compute (a) I1 (the other centroidal principal moment of inertia); and (b) the principal directions at the centroid.
Find the moments of inertia Ix, Iy, I0 for a lamina in the shape of an isosceles right triangle with equal sides of length a if the density at any point is proportional to the square of the distance from the vertex opposite the hypotenuse. (Assume that the coefficient of proportionality is k, and that the lamina lies in the region bounded by x = 0, y = 0, and y = a − x).Ix = Iy = I0 =
1) Sketch the cross-sectional picture of a W8x67 sitting on top of a W16x26 (the vertical centerlines are colinear). a)The magnitude of the Area Moment of Inertia about the horizontal centroidal axis of the built-up member is _____in4. b)The magnitude of the Area Moment of Inertia about the vertical centroidal axis of the built-up member is _____in4. c)The magnitude of the Area Moment of Inertia about the centroidal z-axis (aka Polar Moment of Inertia about the centroidal origin) of the built-up member is _____in4. d)The magnitude of the Radius of Gyration about the horizontal centroidal axis of the built-up member is _____in. e)The magnitude of the Radius of Gyration about the vertical centroidal axis of the built-up member is _____in. f)The magnitude of the Radius of Gyration about the centroidal z-axis (aka Polar Radius of Gyration about the centroidal origin) of the built-up member is _____in.
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
Use the given values in problem to answer the following: Find the moment of inertia and radius of gyration of the section of this bar about an axis parallel to x-axis going through the center of gravity of the bar. The bar is symmetrical about the axis parallel to y-axis and going through the center of gravity of the bar and about the axis parallel to z-axis and going through the center of gravity of the bar. The dimensions of the section are: l=51 mm, h=29 mm The triangle: hT=15 mm, lT=18 mm and the 2 circles: diameter=7.4 mm, hC=8 mm, dC=7 mm. A is the origin of the referential axis. Provide an organized table and explain all your steps to find the moment of inertia and radius of gyration about an axis parallel to x-axis and going through the center of gravity of the bar. Does the radius of gyration make sense? In the box below enter the y position of the center of gravity of the bar in mm with one decimal.