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...

..._________
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...

...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...

...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...

..."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...

...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 the...

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