R
x
R
y
X
Y
θ
2
θ
1
Figure 1
θ
B
Force Table
Zabrina Maultsby
Department of Natural Sciences
University of Houston Downtown
Introduction
The purpose of this experiment is to verify vector addition.
This lab is designed to gain experience
in working with vector quantities. The lab involves the demonstration of the process of the addition
of several vectors to form a resultant vector. Graphical solutions for the addition of vectors will be
carried out.
Background:
If several forces with different magnitudes and directions act at a point its net effect can be
represented by a single resultant force. This resultant force can be found using a special addition
process known as vector addition.
First, let’s consider the process of vector addition by graphical techniques. Figure 1 shows the case
of two vectors
A
and
B
, which are assumed to represent two forces. Using the “parallelogram
method”, we draw a line from the tip of vector
A
parallel to
B
and equal in length to
B
. Let’s denote
this line as vector
B.
The resultant
R
of the vector addition of A and B is found by constructing the
straight line from the point at the tail of vector A to the tip of the newly constructed vector
B
.
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2
2
1
2
1


sin
sin
cos
cos
y
x
y
y
y
x
x
x
R
R
R
R
B
A
B
A
R
B
A
B
A
R
+
=
=
+
=
+
=
+
=
+
=
θ
=
x
y
R
R
arctan
In the process of vector addition, each vector to be added is first resolved into components as shown
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 Spring '10
 Boxer
 Genetics, Force, Euclidean vector, vector addition, resultant force, F3

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