Find the Centroid of the composite area shown below.60 mm40 mm60 mm60 mm30 mm30 mmX A bracket is made of aluminum (unit weight = 0.2 lb/in³) and brass (unitweight= 0.35 lb/in³) plates as shown below. The thickness of the brass plate is1 inch. Find the center of volume and center of gravity.Z1"10"5"18"12"Aluminum1'-XBrass5 in. dia. hole

Answered: Image /qna-images/answer/800bb593-b978-46c1-bb35-f28fc649271c.jpg

Answered: Find the Centroid of the composite area…

Engineering

Mechanical Engineering

Find the Centroid of the composite area shown below.

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 8.7P: Using integration, locate the centroid of the area under the n-th order parabola in terms of b, h,...

See similar textbooks

Related questions

Q: find Centroid of area shown. I got 0.4796in Please Clarify it within 30minutes

Q: 5 in. 2 in. -8 in.- R = 6 in. --X

A: The wire has three segments : 1. length of 5 in 2. length of 10 in. 3. A arc of 6 in. radius.

Q: Calculate the centroid for the shaded portion of the figure as shown. Take a = 95 mm, b=35 mm, c =…

A: Draw a labeled diagram of the given shaded area. Make a table to obtain the required parameters for…

Q: dxes a parabolic spandrel. Assume uniform density pa-

Q: Draw the centroid of the area shown in the figure below. Please use this sign (®) to represent your…

A: Centroid : It is defined as a point where the area is equivalent from all sides. This point is…

Q: Find the centroid (X,Y) of the inverted triangle plate with breadth h= 80mm, depth b=50mm. b The…

A: Given, b=50 mmh=80 mm

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: Compute the centroidal coordinates X, y of the L-shaped region. Answers only.

A: The centroid is also known as center of area. It is the point where it is assumed that the whole…

Q: Locate the x and y coordinates of the centroid of the composite area shown in Figure. the missing…

A: Draw the schematic diagram for the above problem.

Q: 2. Locate the centroid (x, ỹ)of the following areas:

Q: Determine the x- and y-coordinates of the centroid of the shaded area. Assume a = 10 in., b = 10 in.…

Q: * Find the Centroid of the shaded area 12 8. R= 3 8 12

Q: . Find the location of the centroid of the plane region. 14 70 - 35-- 35- Dimensions in mm

Q: Find the centroid of the shown shaded area X Y += 22 Cm 21 CM 35 cm

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

Find the Centroid of the composite area shown below.
60 mm
40 mm
60 mm
60 mm
30 mm
30 mm
X

A bracket is made of aluminum (unit weight = 0.2 lb/in³) and brass (unit
weight= 0.35 lb/in³) plates as shown below. The thickness of the brass plate is
1 inch. Find the center of volume and center of gravity.
Z
1"
10"
5"
18"
12"
Aluminum
1'
-X
Brass
5 in. dia. hole

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

Given data

VIEW

Calculation

VIEW

Final solution

VIEW

Step by step

Solved in 3 steps with 3 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
Determine the location along the x-axis of the centroid for the shape shown in the figure.
Find the total outside surface area and volume of the solid object. Assume that the bases are regular. 3' 7' The pyramid cap has s=3.6' and h=3'
Locate the centroid 50 mm 20 mm 40 30 mm mm 40 mm -60 mm -
Determine the location of the centroid of the figure below. 50 mm 30 mm 50 mm 50 mm 25 mm 25 mm X
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 cross-sectional area shown below has dimensions h = 152 mm, t₁ = 23 mm, t₂ = 21 mm, and b = 245 mm. Determine the y-coordinate of the centroid (y), where y is the signed distance from the z-axis to the z-axis. The z-y axes pass through the centroid of the cross section and are positive in the directions shown. y = 60.33 1 t₁ 1 Y b mm B h
For the composite shape shown in the figure, select the closest value for the x coordinate of the centroid. The values of the dimensions are: aj = 3 mm, bj = 3 mm, az = 7 mm, az = 3 mm, bz = 6 mm. b3 b1 a1 az b1 a2 O 3.5 mm O 3.8 mm O 10.0 mm O 5.4 mm
A rack is made from roll-formed sheet steel and has the cross section shown. Determine the location (x, y) of the centroid of the cross section. The dimensions are indicated at the center thickness of each segment. y -30 mm- 3 80 mm 50 mm 2 1 7 15 mm 15 mm LýL 15 * y, +50*y, +15 * y3 + 30 * y4 + 30* y, +80* y, +15* y7 y EL 235 Y = ? 4.
Find the centroid of the machine element shown in the figure below with respect to the given axis. y 50 mm O 50 mm 60 mm 60 mm 60 mm r = 30 mm 10 mm 10 mm
I need the answer quickly
Find the Centroid of the shaded * ?area 20 80 20 20 60 Dimensions in mm x= 10.2 mm y= 9.81 mm X= 9.81 mm y= 20.2 mm O X= 20.2 mm y= 9.81 mm X= 20.2 mm y3D19.81 mm O هذا السؤال مطلوب