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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Name _____________________ Class ______________ Date _________ 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
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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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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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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 of the addition operation were also
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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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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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Synthesis of 7‚ 7- dichloronorcarane in Carbon Addition Reaction CHM 337 | Dr. Pettit Abstract: A solution of cyclohexene‚ aqueous sodium hydroxide‚ and benzyltriethylammonium was used to synthesize 7‚7 – dichloronorcarane by the following reaction: + CHCl3 + OH - H2O + + Cl - After completion of the experiment‚ the percent recovery was calculated to be 46.21% Introduction The purpose of this experiment was to form 7‚7-dichloronorcarane by means of carbene trapping
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Lab 1: Alkene Addition: Bromination of (E)-stilbene I. Introduction: 1. The purpose of the experiment was to perform an electrophilic addition reaction by using pyridinium tribromide to brominate (E)-stilbene and to identify whether it formed the meso- or racemic product through melting point analysis. 2. This is the mechanism for the bromination of (E)-stilbene. However‚ this is the mechanism for Br2 and in class we us Pyridinium Tribromide instead due to the difficulties associated
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