1
Name: Date:
Year/Section Laboratory Work
EXPERIMENT NUMBER 1
VECTORS: GRAPHICAL & ANALYTICAL METHOD
Objective:
The objective is to (1) practice the Graphical Method of Vector Addition and (2) compare
the results with the calculation (Analytical Method) to get an idea of how accurate the graphical
method is.
Equipment:
A protractor, a ruler, and a few sheets of graphing paper
Theory:
The resultant of two or more vectors is a single vector that is equivalent in its physical
effect to the action of the original vector. For example, if three force vectors were acting on an
object, these three forces could be replace by their resultant, and the object would experience the
same net effect.
Procedure:
Three vectors have magnitudes and direction as show in Table 1. Using a ruler and a
protractor, apply the Graphical Method in determining the Resultants R1, R2, and R2 (To be
identified one at a time) as shown in Table 2
Table 1. Vectors
Vectors Magnitude Direction
A 25 N 35 N of E
B 10 N 30 NW
C 15 N 25 N of W
Table 2. Combination of Vectors of Each Resultant
Resultant Vector Sum/Difference
R1 A+B
R2 A+B+C
R3 A+B-C
For each of the R1, R2, and R3, take the following steps:
1. Choose a reasonable scale that gives you a drawing big enough for precision
measurement and at the same time small enough to where the drawing does not go out of
page.
1.1 Use 1 cm = 2 N
2. Connect the vectors using the tip-to-tail connection in Graphical Method to determine the
resultant. (attach a photo of your Graphical Solution at the space provided here with)
2.1 Create small cartesian coordinates at the tip-to-tail connection of the vectors to have
an accurate measurement (identify angles between the vectors)
[Type here]
, 2
3. Record the magnitude and direction of the Resultant (that you measured, using the ruler-
protractor set) in Table 3.
3.1
[Type here]
Name: Date:
Year/Section Laboratory Work
EXPERIMENT NUMBER 1
VECTORS: GRAPHICAL & ANALYTICAL METHOD
Objective:
The objective is to (1) practice the Graphical Method of Vector Addition and (2) compare
the results with the calculation (Analytical Method) to get an idea of how accurate the graphical
method is.
Equipment:
A protractor, a ruler, and a few sheets of graphing paper
Theory:
The resultant of two or more vectors is a single vector that is equivalent in its physical
effect to the action of the original vector. For example, if three force vectors were acting on an
object, these three forces could be replace by their resultant, and the object would experience the
same net effect.
Procedure:
Three vectors have magnitudes and direction as show in Table 1. Using a ruler and a
protractor, apply the Graphical Method in determining the Resultants R1, R2, and R2 (To be
identified one at a time) as shown in Table 2
Table 1. Vectors
Vectors Magnitude Direction
A 25 N 35 N of E
B 10 N 30 NW
C 15 N 25 N of W
Table 2. Combination of Vectors of Each Resultant
Resultant Vector Sum/Difference
R1 A+B
R2 A+B+C
R3 A+B-C
For each of the R1, R2, and R3, take the following steps:
1. Choose a reasonable scale that gives you a drawing big enough for precision
measurement and at the same time small enough to where the drawing does not go out of
page.
1.1 Use 1 cm = 2 N
2. Connect the vectors using the tip-to-tail connection in Graphical Method to determine the
resultant. (attach a photo of your Graphical Solution at the space provided here with)
2.1 Create small cartesian coordinates at the tip-to-tail connection of the vectors to have
an accurate measurement (identify angles between the vectors)
[Type here]
, 2
3. Record the magnitude and direction of the Resultant (that you measured, using the ruler-
protractor set) in Table 3.
3.1
[Type here]
