Q-5. For the below given Cross-Sectional Area; determine; a. Centroid of the area; b. Moment of Inertia of that area about Neutral Axis; ( 12 mm 12 min 6 mm 8 mm- 24 mtn 24 mm 6 mm -24 mm 24 mm REDMI NOTE 8 PRO AI QUAD CAMERA

Q-5. For the below given Cross-Sectional Area; determine; a. Centroid of the area; b. Moment of Inertia of that area about Neutral Axis; ( 12 mm 12 min 6 mm 8 mm- 24 mtn 24 mm 6 mm -24 mm 24 mm REDMI NOTE 8 PRO AI QUAD CAMERA

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 9.62P: Show that every axis passing through the centroid of the equilateral triangle is a principal axis.

See similar textbooks

Related questions

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

A: Answer xˉ=55mm yˉ=62.20215mm Ixx1=683655.7mm4 Ixx2=6013933mm4 Ixx=6697589mm4

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

A: The schematic diagram is where, Part 1: - A triangle OAB whose sides are 350 mm and 200 mm Part 2:…

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

A: C

Q: The moment of inertia of the triangle with base 'b' and height 'h' passing through the centroid with…

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: Calculate the moment of inertia with respect to the X-X centroidal axis for the areas shown. 40 mm…

Q: Determine the second moments with respect to x- (hori- zontal) and y- (vertical) axes through the…

A: The expression for the y-co-ordinate of centroid, The x-co-ordinate of the centroid,

Q: Determine the location y of the centroid of the beam's cross-sectional area. Neglect the size of the…

A: Given data: RA=17.4 mmRB=27 mmh=110 mmt=15 mm Need to determine the location of the centroid y.

Q: PROBLEM 1: Determine the Centroid and the Moment of Inertia about the x-y axes of the shaded area in…

Q: 5. Given: Shaded area below Find: (1) Product of inertia with respect to x- and y-axis (Ixy) and (2)…

A: Consider the shaded region

Q: · Locate the centroid and compute for the moment of inertia of the following section wrt X-X. Use…

Q: calculate Inertiax-x calculated the centroid with respect to Y, calculate the Inertiay-y Enter the…

Q: In the given figure below, locate the centroid from x and y axis. In addition, determine the Moment…

Q: Determine the centroid of the figure below and also determine the moment of inertia about x-axis and…

Q: Find (a) the location of the centroid (x, y); (b) the area moment of inertia about the global x…

A: The shape with number is given below,

Q: Problem: Determine the centroid and moment of inertia about the centroidal axis of the shaded area…

A: Given

Q: locate the centroid of the shown corss section and calculate moment inertia about x and y axes 3…

A: Understand that the given area is symmetric about the given x and y axis and thus the centroid of…

Q: e moments of inestia of the area Ela bout the parallel P-andf-axes dilies Y 15 10 mmL Compute the…

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

A: As per the guidelines, I can solve only first question this time. For rest questions please repost…

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

Q: Illustrate the location of the centroids and write down the formulas for areas and moment of inertia…

Q: Question 3: Calculate the moment of inertias of the composite 8cm gure about the axes passing…

Q: moment of inertia Ix of the figure shown. Use the parallel axis theorem. Where B = 9, and Y =

Q: Calculate the moment of inertia of the shaded area about the x-axis. 90 mm 30 mm – 45 mm →-45 mm…

A: To find out the moment of inertia of the given shaded region Given figure

Q: Calculate with all the corresponding procedures the centroid (coordinate in Y) and the moment of…

Q: Determine the Area, the position of the centroid about the reference axes, and the moment of inertia…

A: The given section is as shown below,

Q: Determine the centroid and the moment of inertia From the gven eo figure below. 200 mm 20mm ISO mm…

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: Find the moment of inertia about the centroid at axis? 4ocm 10 cm IScm 15 30 loem

Q: HW Find the moment of inertia for the shaded area about its centroid So 12cm 3cm 10cm 3am

Q: For the shaded area, a. Locate the coordinates of the centroid. b. Calculate the moments of inertia…

Q: b-159 mm, d-216 mm y t - 37.4 mm. y EC d ><t

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: For the machine elements shown, locate the centroid. I in. 2 in. 2 in. 3 in. 2 in. T-1.25 in. T-1,25…

A: We have given

Q: Locate the centroid y bar of the composite area, then determine the moment of inertia of this area…

A: considering sections 1 and 2

Q: Determine the following based on the given illustration: a) Area of the Composite figure b)…

Q: a. Locate the coordinates of the centroid. b. Calculate the moments of inertia about the given x and…

A: we will split the shape into three parts, calculate the centroid of the combined shape

Q: Locate the centroid and compute for the moment of inertia of the following section wrtX-X. Use…

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: Problem#4. Determine the moment of inertia with respect to the centroidal x-axis and y- axis of the…

A: Divided the given figure into 5 rectangles.

Q: Determine the centroid and the moment of inertia From the gven aato figure below. 200 mm 20mm I50 mm…

Q: Determine the y-bar centroid of the shaded area. Then, determine the area moment of inertia about…

Q: For the part below that consists of a semicircle on top of a rectangle, h =1 in, determine: a.…

A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,…

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

Q: Problems: Determine the centroid and moment of inertia about the centroidal axis of the shaded area…

Q: Determine the Moment of Inertia about both Centroids I-sub-x, and I-sub-y -Divide into shapes…

Q: Illustrate the location of the centroids and write down the formulas for areas and moment of inertia…

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

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

Concept explainers

Center of Gravity and Centroid

The term center of gravity indicates the position or location of a point about which the whole weight of a body or system is supposed to be concentrated, which means the whole weight of the body or system works through this point. It is closely related to mass distribution. For all positions of the body, the center of gravity would be a single point.

Question

Q-5. For the below given Cross-Sectional Area; determine;
a. Centroid of the area;
b. Moment of Inertia of that area about Neutral Axis;
12 mm
12 mm
6 mm
8 mm-
24 mm
24 mm
6 mm
24 mm
24 mm
REDMI NOTE 8 PRO
AI QUAD CAMERA

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 3

VIEW

Step by step

Solved in 3 steps with 5 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, locate the centroid of the area under the n-th order parabola in terms of b, h, and n (n is a positive integer). (b) Check the result of part (a) with Table 8.1 for the case n = 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.
Find the centroid of the truncated parabolic complement by integration.
The sheet metal trough has a uniform wall thickness. Determine the coordinates of its center of gravity.
Use numerical integration to find the centroid of the volume generated by revolving the area shown about the x-axis.
Show that every axis passing through the centroid of the equilateral triangle is a principal axis.
Determine the Moment of Inertia about both Centroids I-sub-x, and I-sub-y -Divide into shapes -Determine the centroid -Set up TABLE - Shape, AREA, x, y, x^2*AREA, y^2*AREA - Compute the Moment of Inertias with PARALLEL AXIS THEREOM I-sub-x =SUM(I-sub-x-sub-(SELF) + Ad^2)
Calculate with all the corresponding procedures the centroid (coordinate in Y) and the moment of inertia (Ix) of the following figure: Hint: Anwers: Y= 30 mm, Ix=758,160 mm^4
For the image below: 1. Determine the centroid y 2. Determine the Moment of Intertia Ix 3. Determine moment of inertia Iy
Determine the area, location of centroid about the reference Y-Axis, and the moment of inertia about the centroidal X-Axis of the composite figure.
Illustrate the location of the centroids and write down the formulas for areas and moment of inertia of the following basic shapes: 1. Circle 2. Half circle
Solve for the x-component (in cm) of the centroid if that a=86.5cm, b=92.1cm, and r=57.7cm.