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1-6 Drawing forces
Drawing forces
(p. 16)
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Natuurkunde
Middelbare school
vwo
Leerjaar 3
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Drawing forces
(p. 16)
Bluetooth
- ON
- VPN off
Stationary
- Writingbook
- Pen, pencil
- Calclator
- iPad
Mark
- NO
Lessonup
- YES
schoolbags
in
the cupboard
Phones
in the phone bag
Slide 1 - Diapositive
Lesson goals:
Draw or sketch a force diagram when forces work in different directions.
Calculate the direction of the
resultant force using trigonometry.
Slide 2 - Diapositive
Vector
A vector has magnitude,
direction and a point of application.
We draw a vector with an arrow:
The length of the arrow indicates the size of the force.
The direction of the arrow indicates the direction of the force.
The place where the arrow begint indicated the point of application of the force.
Slide 3 - Diapositive
Resultant force
The sum of all te forces.
Also called: nett force or sum force.
(
F
r
)
Slide 4 - Diapositive
Steps for drawing a vector diagram
Step 1 - Choose a scale
(e.g. 1 cm = 5N, so 15 N = 3 cm)
Step2 – Think about the point of application and the direction.
Stap 3 – Draw the force
Example: Draw a force of 60N to the right.
Scale 1cm = 10 N
Slide 5 - Diapositive
Forces acting in the same direction...
are added together.
Slide 6 - Diapositive
Forces acting in opposite direction...
are subtracted.
Slide 7 - Diapositive
Equilibrium
When two equal forces act in opposite directions. For example, a book that lies on a table.
Normal
When forces are in equilibrium we say the resultant force
equals 0N
(
F
r
)
Slide 8 - Diapositive
Combining forces
Sometimes you have forces acting
in different diractions.
In this case you get the resultant
force by combining the forces.
Both the size and magnitude of the resultant force is important in your answer.
Slide 9 - Diapositive
Parallelogram method
Choose an appropriate scale.
Draw the forces on scale using the given angle (like two adjacent sides of a parallelogram).
Complete the parallelogram.
Draw an arrow from the starting point to the opposite corner of the parallelogram.
Measure the length of the arrow, give magnitude and direction.
Slide 10 - Diapositive
Example from the book (p. 17)
Slide 11 - Diapositive
Maak opgaven 22 (p. 19)
timer
6:00
Slide 12 - Diapositive
Slide 13 - Diapositive
Maak opgaven 23 (p. 19)
timer
3:30
Slide 14 - Diapositive
Slide 15 - Diapositive
Maak opgaven 24 (p. 19)
timer
3:30
Slide 16 - Diapositive
Slide 17 - Diapositive
Perpendicular forces
When two forces are acting perpendicular to each other, you can calculate the resultant force with pythagoras.
F
r
e
s
=
√
3
0
2
+
4
0
2
=
5
0
N
Slide 18 - Diapositive
Perpendicular forces
You can then calcualtet he angle of the resultant force using
tan
(
α
)
=
F
2
F
1
Slide 19 - Diapositive
Homework
Test yourself 1.2
Slide 20 - Diapositive
What did you
learn today?
Slide 21 - Carte mentale
Conclusion:
When forces act in different directions
you have to combine the forces.
You can use the parallelogram method.
When the forces at at an angle of 90 degrees then you can calculate the unknown side using pythagors.
Slide 22 - Diapositive
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