PPT-The Centroid

http wwwmathwithmccarthycom 1post201201balancing acthtml Outline of Investigation Investigate the intersection of the medians of a given triangle Six parts Draw one example on graph paper. of Gravity. 5 - . 2. Contents. Introduction. Center of Gravity of a 2D Body. Centroids and First Moments of Areas and Lines. Centroids of Common Shapes of Areas. Centroids of Common Shapes of Lines. Composite Plates and Areas. Large-scale Single-pass k-Means . Clustering. Large-scale . k. -Means Clustering. Goals. Cluster very large data sets. Facilitate large nearest neighbor search. Allow very large number of clusters. Achieve good quality. :. . Big . Data . Analytics. KMeans. Clustering on . Hadoop. Fall 2013. Elke A. Rundensteiner. 1. K-Means Algorithm. 2. Iterative algorithm until converges. K-Means Algorithm. Step 1: . Select K points at random (Centers). *, Mark Po-Hung Lin. *. *. , . Xin . Li. ***, and . Tsung-Yi Ho. ****. *Dept. of CSIE. , . National . Cheng Kung . University, Tainan, Taiwan. ** Dept. of . EE. , . National . Chung Cheng University, . Philip Chan. DNA, Genes, Proteins. What is the relationship among. DNA. Genes. Proteins. ?. DNA, Genes, Proteins. What is the relationship among. DNA. Genes. Proteins. ?. Some DNA regions are called genes. Authors:. James T. Moore. Fred H. Glass. Charles E. Graves. Scott M. Rochette. Marc J. Singer. Purpose of the article. Twenty-one warm-season heavy rainfall events in the central United States that developed above and north of a surface boundary are examined to define the environmental conditions and physical processes associated with these phenomena.. Hubarth. Geometry. Median of a Triangle. - is a segment from a vertex to the midpoint of the opposite side.. Ex 1. Draw a Median. S. T. R. 4. 5. 6. Solution. T. R. 4. 5. S. 3. 3. Centroid. - the three medians of a triangle intersect at one point. This point is called the. Triangles’ Medians and Altitudes. Definition: Median. A triangle’s median is a segment whose endpoints are a vertex and the midpoint of the opposite side.. Like with the perpendicular and angle bisectors, a triangles’ medians are concurrent.. © 2012 Project Lead The Way, Inc.. Principles . of. . Engineering. Centroid Principles. Object’s center of gravity or center of mass. Graphically labeled as . Centroid Principles. Point of applied force caused by acceleration due to gravity. WHAT IS A CENTROID?. . This project required us to find the centriod of a triangle and the centriod of a second shape that can have any number of sides. A centriod is known as the balance point of an object. In a triangle the centriod is the point of concurrency of the medians. The centroid always stays IN the triangle. This point is where all the medians of a triangle intersect. The centroid is located two thirds of the distance from each vertex to the opposite side’s midpoint. The centroid is one third of the distance from the vertex to the opposite side’s midpoint(2:1 ratio). . Objective. :. a) . Understand the concepts. of center of gravity, center of mass, and centroid.. b) Be able to. determine the location. of these points . (CG & Centroid) for . a system of particles or a body.. Object’s center of gravity or center of mass. Graphically labeled as . Centroid Principles. Point of applied force caused by acceleration due to gravity. Object is in state of equilibrium if balanced along its centroid. 36 mm. 24 mm. Locate the centroid of the plane. area shown.. 2. Solving Problems on Your Own. Several points should be emphasized when solving these types of problems.. Locate the centroid of the plane area shown.. Area moment of inertia. dA. dA. is area of element. r. r is perpendicular distance of elemental area to axis about which area moment of inertia is calculated. Axis. Area moment of inertia ( I ). I = Area * r.