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 rim of the circular table and from which weights are hung.

PRINCIPLES AND EQUATIONS:
If several forces act on a body, the vector sum of these forces governs the motion of the body. According to Newton’s 1st Law of Motion the body will remain at rest (if originally at rest) or will move with a constant velocity (if originally in motion) if the vector sum of all forces acting on it is zero (the vector sum is called the resultant force). The body is then said to be in translational equilibrium.

In this experiment we consider forces acting on a small body (a metal ring), arranging them so that the body is in translational equilibrium, and we determine how nearly these forces satisfy the translational equilibrium condition that their vector sum is zero. Forces will be measured in units called “gram-weight” (gmwt). One gmwt is the force of gravity on one gram of mass. Therefore a mass of M grams will correspond to a force of M gmwt.

DATA AND GRAPHS:
See attached

CALCULATIONS:
Sample Point 2:
Since the hanger mass is 50g, it is to be added to the mass of the weight. For example, Point 2 was 26 g, so: 26g + 50g = 76g
Angle of P2 = 135° x (π/180°) = 2.36 radians
x-axis coordinate = sin135° = 0.71cm
y-axis coordinate = cos135° = -0.71cm
Resultant vector 2 x-coordinate was (P2+P3) x-coordinates = (-0.71cm) + (-0.17cm) = -0.88cm Resultant vector 2 y-coordinate was (P2+P3) y-coordinates = (0.71cm) + (-0.98cm) =...

...
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 of the addition operation were also explored.
1. Introduction
Vectors play an important role in many aspects of our everyday lives or of one’s daily routine. It is a mathematical quantity that has both a magnitude and direction.
A vector is what is needed to "carry" the point A to the point B; the Latin word vector means "carrier". The study of vectors had gone through a lot of revisions, starting from the 19th century where mathematicians used geometrical representations for complex numbers. Lots of changes and multiple varieties of altering were conducted to this study, which led to the discovery of the vector that we all know today. Operations on vectors are also made possible through time. Addition of vectors was clarified and can now be done in different ways. Vector...

...
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 F1 and
G
F2 , as shown. This resultant force is obtained by a process of vectoraddition of the original
forcevectors and produces the same effect as
the combined effect produced by all the
original forces. Conversely, a set of
concurrent forces can be balanced exactly by a
single force that acts at the common point of
concurrence of the forces. Such a force is
G
known as the equilibrant FE of that set of
forces and it is equal in magnitude but acts in
exactly opposite direction to the resultant of
the set of forces. A particle is considered to be
in (static) equilibrium under the action of a set
of forces when the vector sum of all the forces
is zero....

...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 of other objects.) • The object is moving with constant velocity. In this case, the object may be subject to a number of forces which cancel out or no force at all. This case is not considered in this lab. The category of physics problems that involve forces in static equilibrium is called statics. Physicists and engineers are subjected to static problems quite frequently. A few examples of these principles in use are seen in the design of bridges and the terminal velocity of a person falling through the air. Mathematically, forces in equilibrium are just a special case of Newton’s Second Law of Motion, which states that the sum of all forces is equal to the mass of the object multiplied by the acceleration of the object. The special case of forces in equilibrium (static),...

...Addition of ForceVectors
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 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...

...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 '"""""# ' = ! .
!
!
• The direction of """""# is from ‘A’ to ‘B’ or towards ‘A’ to ‘B’.
!
• A line which is having the directed line segment is called the support of the directed line segment.
• The support of """""# is denoted by ,""""# .
!
!
• Thus every directed line segment has three attributes, namely, direction, magnitude and support.
• Two directed line segments are said to be they are having same direction if their supports are
parallel and the terminal points lie in the same half plane determined by the line passing through
the initial points.
• """""# and """""# are said to have the same direction if their supports are parallel and
!
./
1. A≠C and ‘B’ and ‘D’ are lies in the same half plane determined by the line ,""""# .
.
2. A=C and A, B, C and ‘D’ are collinear such that ‘B’ and ‘D’ lie on the same ray originating from
‘A’.
"""/
• """""# and .""# are said to have the opposite direction if their supports are parallel but not have...

...Houghton Mifflin Company. All rights reserved.
No part of this work may be reproduced or transmitted in any form or by any means, electronic or
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Company, 222 Berkeley Street, Boston, MA 02116-3764.
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ISBN: 0-618-472355-5
3 4 5 6 7 8 9 –CRS-06 05 04 03
CONTENTS
Experiments:
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
Graphs
Measurement
The Simple Pendulum
Uniform and Accelerated Motion
Determining g, the Acceleration of Gravity
Newton’s Second Law
Hooke’s Law for a Vibrating Spring
Centripetal Acceleration and Force
Laws of Equilibrium
Principle of Work Using an Inclined Plane and Pulleys
Waves
Interference of Light Waves
Plane Mirrors and Index of Refraction of Light
Mirrors, Lenses, and Prisms
The Refracting Telescope
Color
Static Electricity
Magnetism and Electromagnetism
Ohm’s Law
Electric Circuits
Electromagnetic Waves
Temperature
Specific Heat
Heat of Fusion
Heat of Vaporization of Water
Radiation
Spectroscopy
Density of Liquids and Solids
Oxygen...

..."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 each other, leaving the object in equilibrium. (The object will appear to be at rest.) We will use the force table and Newton’s First Law to study the components of the forcevector.
we student , should be exposed more to these apparatus so that we will not find these things hard to use.
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.
"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...

...Experiment 3
Vectors
J. Rodriguez, J. Panis, Y.Magsipoc, A. Castillo, A. Ordoñez, M. Tombado, J. Semilla, K. Almeniana, and P. Bugacia
Industrial Engineering Department, College of Engineering
Adamson University, Ermita, Manila
In this experiment, the students will determine the resultant of different forces using different methods: graphical method; and getting the equilibrant of forces using component method theforce table. Each of the three methods has their own way of getting the resultant force but as the experiment progresses, it was observed that the resultant vectors obtained through these methods are merely accurate and values are closely the same to each other.
1.) Introduction
Vector quantities are quantities that deal with magnitude and direction such as force. Vectors are used to determine a resulting direction and magnitude by getting the sum of given vectors. The sum of vectors is called the resultant vector.
Graphical method uses a certain scale to determine the equivalent vector based on the drawing. It is a simple and direct way of getting the resultant force but is limited in precision.
Component method can obtain the resultant force by getting two directions at right angles to each...

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