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 between the angle between the vectors and the magnitude of the resulting vector.

Introduction

Physics deals with the study of properties such as forces; these properties are represented not only by a magnitude, but by a direction as well. One of the tools that physics use to represent forces is the vector. In order to have a better understanding of the addition and subtraction of vectors, an experiment was performed. The experiment enabled us to see the relation between the angles and the magnitudes of vectors when they are added.

Procedure

The procedure was as follows:

1.First choose two weights and hag them from a string that was lied on a pulley and tied to a ring placed at the center of the graduated disc. Note: for this step the ring was secured with a pin. 2.The strings were placed in a desired angle.

3.A third weight was tied to a string going in an opposite direction from the two that had already been placed. 4.More weight was added to the third string until the forces are balanced. 5.Measure the angles and weights of the vectors.

6.Repeat the procedure five times to verify that it is reproducible. 7.Record the averages of the measurements, and calculate the resulting vectors with the formula. 8.Analyze and get a conclusion

...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...

...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...

...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...

..._________
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...

...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...

..."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...

...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:...

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