PPT-Centroids Centroid Principles

Objects 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. Section 5.2 page 314-320. Guiding Question: How can a sculptor who creates mobiles use center of gravity to balance objects?. Vocabulary. Median of a Triangle: . a segment whose endpoints are a vertex of the triangle and the midpoint of the opposite sides (. Objectives. Use properties of medians. Locate the . centroid. Use properties of altitudes. Locate the orthocenter. A . median. . . is . a segment . from a vertex . of a . ∆ . to the . midpoint of the . CENTROID. (Section 24.3 in textbook). A . median of a triangle . is a segment from a vertex to the midpoint of the opposite side.. The point of concurrency of the three medians of a triangle is called the . Node failure. The probability that at least one node failing is: . . f. = 1 – (1-p). n. When . n. =1; then . f. =. p. Suppose . p. =0.0001 but . n. =10000, then: . Clustering (Chap 7). Introduction. Clustering is an important data mining task.. Clustering makes it possible to “almost automatically” summarize large amounts of high-dimensional data.. Clustering (aka segmentation) is applied in many domains: retail, web, image analysis, bioinformatics, psychology, brain science, . by: James T. Moore, Fred H. Glass, Charles E. Graves, Scott M. . Rochette. , and Marc J. Singer. AnneMarie. . Giannandrea. ESC 452 . Mesoscale. Meteorology. 4/22/10. Background. MCS rain accounts for 30-70% of the Central United States growing season rainfall. 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.. February 2011. Fellow: Brooke . Odle. Teacher: Ms. Sanchez. Saint Vincent Academy. Lesson Overview. Introduce topic. Vocabulary and Theorem 6-1. Example Problems. Real World Application. Electrocardiograms. Centre of gravity. Known as centre of mass. The centre of mass of an object is the point where the whole of the object is assumed to be concentrated. Refers to masses or weights. The . centre of gravity . cont. ) . Computerized Layout Planning. By . Anastasia L. . Maukar. 2. CRAFT- . Computerized Relative Allocation of Facilities Technique. Created in 1964 by Buffa and Armour. Process layout approach. 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..