Addition of Force Vectors Abstract The purpose‚ of this experiment‚ was to prove that there is a relation between the magnitude of the resulting vector‚ and the angle between the vectors that are being added. The test was performed by creating a balance between three weights tied to strings on a pulley that transferred the string on top of a graduated disc‚ which made easy the measurement of the angles between them. After performing the experiment‚ my group concluded that there is a relation
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OBJECTIVE: The purpose of this experiment is to practice the addition of vectors graphically and analytically and to compare the results obtained by these two methods. APPARATUS: Cenco force table with pulleys. Metal ring‚ strings‚ weight hangers and weights. Rulers and protractors. The force table provides a means for applying known forces at one or more points and in various directions in the horizontal place. The forces are the tensions in strings which pass over pulleys attaches to the
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Abstract The experiment was about the resolution of vector quantities using different methods or techniques. Among those are the Parallelogram‚ Polygon‚ and the Analytical or Component methods. Using each method‚ it was found out that Component method is the most accurate as its approach is purely theoretical‚ that is‚ all other physical factors are neglected leaving only the appropriate ones to be calculated. In addition‚ properties of these quantities such as associativity and commutativity
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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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_________ Addition and 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
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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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Directed Line Segment: VECTORS • A line segment with direction is called a directed line segment. • If ‘A’ and ‘B’ are two distinct points in the space‚ then the ordered pair (A‚ B) is called as a directed line segment and is denoted by """""# . ! • In """""# ‚ ‘A’ is called initial point and ‘B’ is called terminal ! point of """""# . ! • The distance from ‘A’ to ‘B’ is called the length or magnitude of """""# . The length or magnitude of """""# ! ! is denoted by ’"""""# ’. Thus
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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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Units‚ 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 1 Vectors‚ Forces‚ and Equilibrium 1.1 Purpose The purpose of this experiment is to give you a qualitative and quantitative feel for vectors and forces in equilibrium. 1.2 Introduction An object that is not accelerating falls into one of three categories: • The object is static and is subjected to a number of different forces which cancel each other out. • The object is static and is not being subjected to any forces. (This is unlikely since all objects are subject to the force of gravity
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