This preview shows pages 1–3. Sign up to view the full content.
Unit 3 Help File
Topics
1) How to use graphical methods to determine an equilibrant.
2) How to use analytical methods to determine an equilibrant. i.e mathematically
3) Solving for two unknown vectors using simultaneous equations.
4) Addition notes for this unit.
1) How to use graphical methods to determine an equilibrant
The method describe in the manual is the easiest way when using graphical methods to find a resultant or
equilibrant.
following is an example for three vectors.
We have V
1
= 120@0
°
, V
2
= 350@165
°
and V
3
= 400@260
°
First start by selecting a scale to represent the magnitude of the vector, for example if 1cm= 100.
Next select a point of origin and then draw the first vector to scale in its indicated direction from the
origin.V
1
is shown below. V
1
would be drawn 1.2 cm and the horizontal has been chosen to be zero degrees.
Next use a protractor to indicate determine the direction of the next vector V
2
(165
°
) in relation to the tip of
the first vector. Then draw the second line to scale 3.5 cm at it given direction from the tip of V
1
.
V
1
V
2
V
1
165
°
Draw
in the next vector using the given direction and scale factor V
3
= 4 cm from the tip of the second
vector V
2
V
1
260
°
V
3
θ
E
V
2
165
°
Last connect the tip of V
3
to the start of V
1
.
This is the resultant or equilibrant depended on the direction of
the vector.
The equilibrant is shown in the diagram. Measure the length of the equilibrant using the chosen
scale to find its magnitude and use a protractor to measure the angle
θ
.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document2) How to use analytical methods to determine an equilibrant. i.e mathematically
This is the end of the preview. Sign up
to
access the rest of the document.
 Spring '08
 WHITE
 Physics

Click to edit the document details