Addition of Vectors Objectives: The purpose of this experiment is to show that the magnitude and direction of the resultant of several forces acting on a particle may be determined by drawing the proper vector diagram‚ and that the particle is in equilibrium when the resultant force is zero. Principles: RABx = Ax + Bx RABy = Ay + By R2 = R2X + R2Y R = Rx2+Ry2 Tanθ = RyRx θ = Tan-1 RyRx List of Equipment: 1. Force table 2. Four pulleys 3. Four weights 4. Slotted
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Vectors Lab Report ABSTRACT: This lab was about constructing vectors graphically and being able to find the resultant of the vectors. Using a ruler to make the vectors and solving them graphically to find the resultants. INTRODUCTION: This lab was important because it went into higher depth on graphically creating vectors and being able to find the resultants. The structures of these vectors have right angles and have combinations that can look the same‚ yet the angles are going different
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Calculus in 3D Geometry‚ Vectors‚ and Multivariate Calculus Zbigniew H. Nitecki Tufts University August 19‚ 2012 ii This work is subject to copyright. It may be copied for non-commercial purposes. Preface The present volume is a sequel to my earlier book‚ Calculus Deconstructed: A Second Course in First-Year Calculus‚ published by the Mathematical Association in 2009. I have used versions of this pair of books for severel years in the Honors Calculus course at Tufts‚ a two-semester
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Resolution of vector Introduction: The main objective of this lab is to add and resolve vectors using three distinct methods. 1) Graphical: When two forces act upon an object‚ their combined effect can be determined by adding the vectors‚ which represent forces. One method of performing this addition is known as graphical method of vector addition. In this method‚ arrows are drawn in the direction of forces. The lengths of arrows are proportional to the magnitude of vectors. The resultant
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"The Force Table" is a simple tool for demonstrating Newton’s First Law and the vector nature of forces. This tool is based on the principle of “equilibrium”. An object is said to be in equilibrium when there is no net force acting on it. An object with no net force acting on it has no acceleration. By using simple weights‚ pulleys and strings placed around a circular table‚ several forces can be applied to an object located in the center of the table in such a way that the forces exactly cancel
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Resolution of Vectors Equilibrium of a Particle Overview When a set of forces act on an object in such a way that the lines of action of the forces pass through a common point‚ the forces are described as concurrent forces. When these forces lie in the same geometric plane‚ the forces are also described as coplanar forces. A single G G equivalent force known as the resultant force FR may replace a set of concurrent forces F1 and G F2 ‚ as shown. This resultant force is obtained by a process of vector addition
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The Right Triangle |Component of vectors |Resultant vectors by component method 28 July 2012 REDG 2011 1 The Right Triangle (c) (a) (b) c = a +b 2 2 2 2 2 Solve for a and b. a2 = c2 -b2 b2 = c2 -a2 c = a +b 28 July 2012 REDG 2011 2 The Right Triangle hypotenuse opposite adjacent 28 July 2012 REDG 2011 3 The Right Triangle adjacent hypotenuse opposite 28 July 2012 REDG 2011 4 The Right Triangle The opposite always faces opposite
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12e 2 Force Vectors Part 2 Copyright © 2010 Pearson Education South Asia Pte Ltd Chapter Objectives • Cartesian vector form • Dot product and angle between 2 vectors Copyright © 2010 Pearson Education South Asia Pte Ltd Chapter Outline 1. 2. 3. 4. 5. Cartesian Vectors Addition and Subtraction of Cartesian Vectors Position Vectors Force Vector Directed along a Line Dot Product Copyright © 2010 Pearson Education South Asia Pte Ltd 2.5 Cartesian Vectors • Right-Handed
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CHAPTER 6 FOREST TYPE CLASSIFICATION USING SUPPORT VECTOR MACHINE CHAPTER 6 Forest Type Classification using Support Vector Machine In this chapter‚ an attempt has been made to classify the forest type using support vector machines (SVMs). SVM is regarded as a powerful technique in order to deal with the classification problems. In this work‚ we have explored different parameters of SVM in order to find the best possible recognition accuracy. The LibSVM tool has been used for the experimentation
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HL Vectors Notes 1. Vector or Scalar Many physical quantities such as area‚ length‚ mass and temperature are completely described once the magnitude of the quantity is given. Such quantities are called “scalars.” Other quantities possess the properties of magnitude and direction. A quantity of this kind is called a “vector” quantity. Winds are usually described by giving their speed and direction; say 20 km/h north east. The wind speed and wind direction together form a vector quantity
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