The document discusses centroids, which are the centers of mass for systems. The centroid of an area is analogous to the center of gravity of a body. To find the centroid, you calculate the first moment of the system, which is the sum of the products of each mass and its distance from the origin. You can find the centroid of multiple points by dividing the first moment about each axis by the total mass of the system. The document provides an example of calculating the centroid of a system with masses located at different coordinate points. It also discusses finding centroids of common geometric shapes.
this is a ppt on centroid,covering centroid of regular figures and there is a example of a composite figure,it has applications,uses of centroid,it is use ful for engineering students,it has 15 slides.
by -nishant kumar.
nk18052001@gmail.com
this is a ppt on centroid,covering centroid of regular figures and there is a example of a composite figure,it has applications,uses of centroid,it is use ful for engineering students,it has 15 slides.
by -nishant kumar.
nk18052001@gmail.com
this is about center of mass, center of mass for complicated shapes, center of mass of hemisphere, center of mass of many particles, center of mass of solids, center of mass of uniform cylinder, center of mass of uniform rod
What is a single degree of freedom (SDOF) system ?
Hoe to write and solve the equations of motion?
How does damping affect the response?
#WikiCourses
https://wikicourses.wikispaces.com/Lect01+Single+Degree+of+Freedom+Systems
https://eau-esa.wikispaces.com/Topic+Single+Degree+of+Freedom+%28SDOF%29+Systems
Text book for the mechanics of materials
Shaft & Torsion
・Angle of Torsion & Specific Angle of Torsion
・Stress & Strain under Torque
・Design of Shaft Diameter
Note: Your feedback is welcome!
Learn Online Courses of Subject Engineering Mechanics of First Year Engineering. Clear the Concepts of Engineering Mechanics Through Video Lectures and PDF Notes. https://ekeeda.com/streamdetails/subject/Engineering-Mechanics
Civil Engineering is the Branch of Engineering.The Civil engineering field requires an understanding of core areas including Mechanics of Solids, Structural Mechanics - I, Building Construction Materials, Surveying - I, Geology and Geotechnical Engineering, Structural Mechanics, Building Construction, Water Resources and Irrigation, Environmental Engineering, Transportation Engineering, Construction and Project Management. Ekeeda offers Online Mechanical Engineering Courses for all the Subjects as per the Syllabus Visit us: https://ekeeda.com/streamdetails/stream/civil-engineering
Learn Online Courses of Subject Engineering Mechanics of First Year Engineering. Clear the Concepts of Engineering Mechanics Through Video Lectures and PDF Notes. https://ekeeda.com/streamdetails/subject/Engineering-Mechanics
this is about center of mass, center of mass for complicated shapes, center of mass of hemisphere, center of mass of many particles, center of mass of solids, center of mass of uniform cylinder, center of mass of uniform rod
What is a single degree of freedom (SDOF) system ?
Hoe to write and solve the equations of motion?
How does damping affect the response?
#WikiCourses
https://wikicourses.wikispaces.com/Lect01+Single+Degree+of+Freedom+Systems
https://eau-esa.wikispaces.com/Topic+Single+Degree+of+Freedom+%28SDOF%29+Systems
Text book for the mechanics of materials
Shaft & Torsion
・Angle of Torsion & Specific Angle of Torsion
・Stress & Strain under Torque
・Design of Shaft Diameter
Note: Your feedback is welcome!
Learn Online Courses of Subject Engineering Mechanics of First Year Engineering. Clear the Concepts of Engineering Mechanics Through Video Lectures and PDF Notes. https://ekeeda.com/streamdetails/subject/Engineering-Mechanics
Civil Engineering is the Branch of Engineering.The Civil engineering field requires an understanding of core areas including Mechanics of Solids, Structural Mechanics - I, Building Construction Materials, Surveying - I, Geology and Geotechnical Engineering, Structural Mechanics, Building Construction, Water Resources and Irrigation, Environmental Engineering, Transportation Engineering, Construction and Project Management. Ekeeda offers Online Mechanical Engineering Courses for all the Subjects as per the Syllabus Visit us: https://ekeeda.com/streamdetails/stream/civil-engineering
Learn Online Courses of Subject Engineering Mechanics of First Year Engineering. Clear the Concepts of Engineering Mechanics Through Video Lectures and PDF Notes. https://ekeeda.com/streamdetails/subject/Engineering-Mechanics
Application of particle swarm optimization in 3 dimensional travelling salesm...Maad M. Mijwil
Particle Swarm Optimization (PSO), one of the meta-heuristic methods used to solve optimization problems, Eberhart and Dr. It is an intuitive optimization technique that is categorized by population-based herd intelligence developed by Kennedy.
Sharing information in birds and fish, like people speaking or otherwise sharing information, points to social intelligence.
The PSO was developed by inspiring birds to use each other in their orientation and inspired by the social behavior of fish swarms.
In PSO, the individuals forming the population are called particles, each of which is assumed to move in the state space, and each piece carries its potential solution.
Each piece can remember the best situation and the particles can exchange information among themselves
A short presentation on the topic Numerical Integration for Civil Engineering students.
This presentation consist of small introduction about Simpson's Rule, Trapezoidal Rule, Gaussian Quadrature and some basic Civil Engineering problems based of above methods of Numerical Integration.
* Write equations of ellipses in standard form.
* Graph ellipses centered at the origin.
* Graph ellipses not centered at the origin.
* Solve applied problems involving ellipses.
tittle is about Design & Fabrication of Hydraulic Lift.
Hydraulic lift is a type of machine that uses a hydraulic cylinder to lift and lower objects by applying relatively small force compared to the weight of the object to be lifted.
It’s working is based on Pascal’s Law
Industrial Training at Shahjalal Fertilizer Company Limited (SFCL)MdTanvirMahtab2
This presentation is about the working procedure of Shahjalal Fertilizer Company Limited (SFCL). A Govt. owned Company of Bangladesh Chemical Industries Corporation under Ministry of Industries.
Vaccine management system project report documentation..pdfKamal Acharya
The Division of Vaccine and Immunization is facing increasing difficulty monitoring vaccines and other commodities distribution once they have been distributed from the national stores. With the introduction of new vaccines, more challenges have been anticipated with this additions posing serious threat to the already over strained vaccine supply chain system in Kenya.
Final project report on grocery store management system..pdfKamal Acharya
In today’s fast-changing business environment, it’s extremely important to be able to respond to client needs in the most effective and timely manner. If your customers wish to see your business online and have instant access to your products or services.
Online Grocery Store is an e-commerce website, which retails various grocery products. This project allows viewing various products available enables registered users to purchase desired products instantly using Paytm, UPI payment processor (Instant Pay) and also can place order by using Cash on Delivery (Pay Later) option. This project provides an easy access to Administrators and Managers to view orders placed using Pay Later and Instant Pay options.
In order to develop an e-commerce website, a number of Technologies must be studied and understood. These include multi-tiered architecture, server and client-side scripting techniques, implementation technologies, programming language (such as PHP, HTML, CSS, JavaScript) and MySQL relational databases. This is a project with the objective to develop a basic website where a consumer is provided with a shopping cart website and also to know about the technologies used to develop such a website.
This document will discuss each of the underlying technologies to create and implement an e- commerce website.
Welcome to WIPAC Monthly the magazine brought to you by the LinkedIn Group Water Industry Process Automation & Control.
In this month's edition, along with this month's industry news to celebrate the 13 years since the group was created we have articles including
A case study of the used of Advanced Process Control at the Wastewater Treatment works at Lleida in Spain
A look back on an article on smart wastewater networks in order to see how the industry has measured up in the interim around the adoption of Digital Transformation in the Water Industry.
Courier management system project report.pdfKamal Acharya
It is now-a-days very important for the people to send or receive articles like imported furniture, electronic items, gifts, business goods and the like. People depend vastly on different transport systems which mostly use the manual way of receiving and delivering the articles. There is no way to track the articles till they are received and there is no way to let the customer know what happened in transit, once he booked some articles. In such a situation, we need a system which completely computerizes the cargo activities including time to time tracking of the articles sent. This need is fulfilled by Courier Management System software which is online software for the cargo management people that enables them to receive the goods from a source and send them to a required destination and track their status from time to time.
TECHNICAL TRAINING MANUAL GENERAL FAMILIARIZATION COURSEDuvanRamosGarzon1
AIRCRAFT GENERAL
The Single Aisle is the most advanced family aircraft in service today, with fly-by-wire flight controls.
The A318, A319, A320 and A321 are twin-engine subsonic medium range aircraft.
The family offers a choice of engines
Water scarcity is the lack of fresh water resources to meet the standard water demand. There are two type of water scarcity. One is physical. The other is economic water scarcity.
2. 2
Centroid
• Center of mass for a system
The point where all the mass seems to be
concentrated
If the mass is of constant density this point is
called the centroid
4kg 6kg10kg
•
3. • The centroid of an area is analogous to the
center of gravity of a body. The concept of the
first moment of an area is used to locate the
centroid.
3
4. 4
Centroid
• Each mass in the system has a "moment"
The product of the mass and the distance
from the origin
"First moment" is the sum of all the moments
• The centroid is
4kg 6kg10kg
1 1 2 2
1 2
m x m x
x
m m
+
=
+
5. 5
Centroid
• Centroid for multiple points
• Centroid about x-axis
1
1
n
i i
i
n
i
i
m x
x
m
=
=
=
∑
∑
First moment of
the system
Also notated My,
moment about
y-axis
First moment of
the system
Also notated My,
moment about
y-axis
Total mass of the
system
Total mass of the
system
1
1
n
i i
i
n
i
i
y
y
m
m
=
=
=
∑
∑
Also
notated Mx,
moment
about
x-axis
Also
notated Mx,
moment
about
x-axis
Also notated m,
the total mass
6. 6
Centroid
• The location of the centroid is the ordered
pair
• Consider a system with 10g at (2,-1), 7g at
(4, 3), and 12g at (-5,2)
What is the center of mass?
( , )x y
y x
M M
x y
m m
= =
7. 7
Centroid
• Given 10g at (2,-1), 7g at (4, 3), and 12g
at (-5,2)
10g
7g
12g
10 (2) 7 4 12 ( 5)
10 ( 1) 7 3 12 2
10 7 12
y
x
M
M
m
= × + × + × −
= × − + × + ×
= + + ? ?x y= =
9. 9
Sample Problem 5.1
For the plane area shown, determine
the first moments with respect to the
x and y axes and the location of the
centroid.
SOLUTION:
• Divide the area into a triangle, rectangle,
and semicircle with a circular cutout.
• Compute the coordinates of the area
centroid by dividing the first moments by
the total area.
• Find the total area and first moments of
the triangle, rectangle, and semicircle.
Subtract the area and first moment of the
circular cutout.
• Calculate the first moments of each area
with respect to the axes.
11. 5 - 11
Sample Problem 5.1
23
33
mm1013.828
mm107.757
×
×+
==
∑
∑
A
Ax
X
mm8.54=X
23
33
mm1013.828
mm102.506
×
×+
==
∑
∑
A
Ay
Y
mm6.36=Y
• Compute the coordinates of the area
centroid by dividing the first moments by
the total area.