Determine the location of the centroid and calculate Ix and ly for the compositY15 in2 in156 in*Kº2Ji2 inbh3120.671x₁² 31x2=1x3 =17₁ =12X

Answered: Determine the location of the centroid…

Engineering

Mechanical Engineering

Determine the location of the centroid and calculate Ix and ly for the compos

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter8: Centroids And Distributed Loads

Section: Chapter Questions

Problem 8.42P: Solve Prob. 8.41 assuming that the triangle is revolved about the y-axis.

See similar textbooks

Related questions

Q: find the centroid in the lammina

A: The centroid of a body is the point where all sides have equal volume. The centre of mass…

Q: 5/19 Determine the y-coordinate of the centroid of the shaded area.

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: From the figure shown below, calculate the following; a. total length of the circular arc segment…

A: To find: (a) The total length of the circular arc segment and the straight lines.(b) The location of…

Q: Locate y of centroid of the area of intertia ly y = asin and find moment

A: Write the given data.

Q: Find the centroid (xbar and ybar) Compute moment of intertia about x axis

A: shifting the x axis to point 2 we get the equation of parabola as y=x2 = =12∫03 x4 dx∫03 x2 dx…

Q: 60 mm 60 mm

Q: Determine the x- and y-coordinates of the centroid of the shaded area. y 1 10" 7" ✓ Answers: 9" (X,…

Q: Find the centroid of area at x and y. Considere H = 83

Q: 3. Determine by direct integration the x coordinate of the centroid of the area shown.

Q: (20 mm 40 mm 30 0mm 35mm 30mm 80 mm 1- Find the centroid ,7 OF Ihertia Ix, Iy Sy, SY 2. The moment…

Q: Identify the expressions for the centroid of the area shown. Use direct integration. This is the…

Q: Find the centroid (x̄, ȳ) of the shaded area, given the function: y = (1/3)·x4 and L = 5 mm.

Q: Locate the x-coordinate for the centroid of the following area: Please fast.

Q: 12 R= 3 8 12 CO

Q: So mm 100 mm. Q. locate the Centroid for the folloing areas:

Q: Determine the position of centroid for the shaded area

Q: b b= 134 mm, r=68 mm For the given composite geometry locate the centroid of the plane area shown…

Q: yA 4 Y=ス 3. 2. 3.

Q: 5-101 Locate the centroid of the shaded area shown in Fig. y y? = 2x 2 in. y= 0.52 2 in.

A: The diagram of the shaded area with a vertical strip is given as, The equations of curves are given…

Q: Compute the center of mass/ centroid of the region R = {(x, y): 1 ≤ x ≤ 3, 0 ≤ y ≤ x^2. Show the…

Q: Determine the x- and y-coordinates of the centroid of the shaded area. Assume a = 11 in., b = 8 in.…

Q: X Find the centroid (x, y) of the area between the function and the y-axis from y = 0 to y = 3.3,…

A: The schematic diagram is as follows-The length and width of the strips are-The area of the small…

Q: PROBLEM: 3 ·len in -3 in

A: Find the Centroid of the shape (x and y coordinates).

Q: Solve the problem with complete solution and draw the figure. Find the ordinate of the centroid of…

Q: PROBLEM: 2 1.5ft 3 ft .2 ft 3 Ft-

Q: 1. Determine the centroid of the figure below. micircle - 15mm - -10mm r=3mm

Q: Calculate the location of the centroid, and calculate the 2nd Moment Area about the centroid.

A: The given area can be divided into three rectangles of areas A1,A2 and A3 as shown in the figure…

Q: 3. Find the Centroid of the Figure shown with respect to x and y-axis. + 12"-

Q: R=0.6m 0.2 m 0.5 m 0.8 m-

Q: 2. Determine the centreid c(3,5) of the shaded region bounded by ly-20)"- 16%, and the axes.

Q: If the shaded area is revolved 360° about the y-axis, determine the y-coordinate of the centroid of…

A: To determine:Y coordinate of the centroid of resulting volume

Q: Determine the x- and y-coordinates of the centroid of the shaded area. 8" 5" ✓ y | 7". 3", 11" 8

Q: Locate the centroid x,y,z

Q: 1-2. Calculate the coordinates of the centroids of these shapes in terms of a an y=mx y=kx2 h y =…

A: According to the given data y=mx ......................(1) y=kx2…

Q: 2. Locate the centroid of the area bounded by the axis & the sine curve y= asin rx/L from 0 to L. v=…

Q: Determine the y-coordinate of the centroid of the shaded area. h T 0.37h Answer: y = y i I 56°56° h

Q: calculate the centroid known that A = 65mm B= 15mm C= 3mm D= 4mm E=30mm

A: It is very basic numerical of centroid of compound shape. Rectangular shape with rectangular hole.

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

Determine the location of the centroid and calculate Ix and ly for the composit
Y
15 in
2 in
1
5
6 in
*Kº
2
Ji
2 in
bh
3
12
0.67
1x₁² 3
1x2=
1x3 =
17₁ =
12
X

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 1 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

* ?Find the Centroid of the shaded area 20 80 20 20 60 Dimensions in mm x= 9.81 mm y= 20.2 mm C x= 20.2 mm y= 9.81 mm O x= 20.2 mm y=D19.81 mm X= 10.2 mm y= 9.81 mm O
Please answer the question below. I have attempted it but I do not know where I have gone wrong. Please point out my mistake. The correct answer is 0.722x10^-3m^4 Answer using the same table format I have used.
Show full and complete solution Change the following given X to 8 Y to 3 Z to 7
1-2. Calculate the coordinates of the centroids of these shapes in terms of a and h. y=mx y=kx2 ans: (a/2, 2h/5) h x y y = kx3 ans: (2a/5, 4h/7) h x
B8
Find the value of the y-component of the centroid given x1 = 0.9 m, x2 = 0.22 m, x3 = 0.58 m, and y1 = 0.12 m and y2 = 0.8 m. Report your answer in meters to three decimal places. ylm y2 m yl m y x1 m x2 m x3 m ·X
13 - Find the center of gravity M of the three-dimensional homogeneous wire ABCD using the coordinate set (x, y, z) in the figure. The dimensions of the wire are a = 24 cm, b = 36 cm. The coordinates of the AB part of the homogeneous wire in the x, y and z axes are given in the following:A) (36; 12; 0)B) (36; 24; 0)C) (36; 24; 12)D) (18; 12; 0)E) (36; 12; 24)
The cube is 12 inches in dimensions. The cylindrical hole is 5 inches in diameter and 6 inches drilled in it. The hole is filled by a metal pin with ym = 50-lb. The wood w = 50-lb. Locate the center of gravity of the body.
Find the center of the mass of the lamina in the first quadvant bordeved by y = x2ey+4 x44 2eyt4 X 20
Find the centroid’s x and y coordinates to 3 significant digits relative to the bottom right corner. Each semicircle has a radius of 4 cm. The dimensions in cm are not to scale.
Find the moment of inertia of the given lamina about X-X axis passing through its centroid, where b1=106 mm, d1=32 mm, b2= 60 mm & d2%3D98mm. (enter only the values in the boxes by referring the units given in bracket) b2 d2 TP b1
The cube is 12 inches in dimensions. The cylindrical hole is 5 inches in diameter and 6 inches drilled in it. The hole is filled by a metal pin with γm= 50-lb. The wood γw= 50-lb. Locate the center of gravity of the body.