Transcript Aim: How do we add force vectors? What is an equilibrant vector?

Aim: How do we add force vectors?
What is an equilibrant vector?
Do Now:
Sam and Joey are fighting over a toy. Sam pulls
with a force of 30N to the left and Joey pulls with
a force of 45N to the right.
-What is the resultant force?
- What is the equilibrant force?
Sam pulls with a force of 30N to the left and Joey pulls with a
force of 45N to the right.
What is the resultant force?
What is the equilibrant force?
• Diagram (tail to tail):
30N
45N
• Diagram of resultant (head to tail)
Resultant 15N
30N
45N
• Diagram of equilibrant (the vector that balances out
Equilibrant
Resultant
the resultant)
– The equilibrant is EQUAL in magnitude and OPPOSITE in
direction of the Resultant.
Allie pulls with a force of 12N to the North and Michelle pulls
with a force of 19N to the East.
What is the resultant force?
What is the equilibrant force?
12N
12N
19N
19N
Force Table Lab
• For EACH situation, you will find the
equilibrant vector
– Mathematically
– Graphically (to scale)
– Experimentally (using the force table)
Situation 1
2N (200g)
Mathematical Solution:
Graphical Solution:
2N (200g)
Experimental Solution:
(find the amount of mass
and the location that
balances out the 2 forces)
Situation 2
Mathematical Solution:
Graphical Solution:
Experimental Solution:
(find the amount of mass
and the location that
balances out the 2 forces)
Situation 3
2N (200g)
Mathematical Solution:
Graphical Solution:
1.75N (175g)
1N (100g)
Experimental Solution:
(find the amount of mass
and the location that
balances out the 2 forces)
Situation 1
Experimental Solution. Draw in and label
where the third weight went.
Graphical Solution (draw vectors TO SCALE)
Scale chosen _______N = ________cm
2N (200g)
2N
(200g)
Mathematical Solution (draw vectors head to tail) Show calculation of the magnitude AND
direction.
Situation 2
Experimental Solution. Draw in and label
where the third weight went.
Graphical Solution (draw vectors TO SCALE)
Scale chosen _______N = ________cm
Mathematical Solution (draw vectors head to tail) Show calculation of the magnitude AND
direction.
Situation 3
Experimental Solution. Draw in and label
where the third weight went.
Graphical Solution (draw vectors TO SCALE)
Scale chosen _______N = ________cm
2N (200g)
1.75N (175g)
1N (100g)
Mathematical Solution (draw vectors head to tail) Show calculation of the magnitude AND
direction.
Situation 4-advanced
Experimental Solution. Draw in and label
where the third weight went.
Graphical Solution (draw vectors TO SCALE)
Scale chosen _______N = ________cm
2N (200g)
1N (100g)
Mathematical Solution (draw vectors head to tail) Show calculation of the magnitude AND
direction.