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):

• Diagram of resultant (head to tail)

• Diagram of equilibrant (the vector that balances out the resultant)– The equilibrant is EQUAL in magnitude and OPPOSITE in

direction of the Resultant.

Resultant

45N

45N

30N

30N

15N

Equilibrant 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?

Resultant

19N19N12N

12N

EquilibrantResultant

Force Table Lab

• For EACH situation, you will find the equilibrant vector – Mathematically– Graphically (to scale)– Experimentally (using the force table)

Situation 12N (200g)

2N (200g)

Mathematical Solution:

Graphical Solution:

Experimental Solution:(find the amount of mass and the location that balances out the 2 forces)

Situation 2

2N (200g)

1N (1

00g)

Mathematical Solution:

Graphical Solution:

Experimental Solution:(find the amount of mass and the location that balances out the 2 forces)

Situation 32N (200g)

1N (100g)

Mathematical Solution:

Graphical Solution:

Experimental Solution:(find the amount of mass and the location that balances out the 2 forces)

1.75N (175g)

2N (200g)

2N (200g)

Situation 1

Mathematical Solution (draw vectors head to tail) Show calculation of the magnitude AND direction.

Graphical Solution (draw vectors TO SCALE)Scale chosen _______N = ________cm

Experimental Solution. Draw in and label where the third weight went.

Situation 2

Mathematical Solution (draw vectors head to tail) Show calculation of the magnitude AND direction.

Graphical Solution (draw vectors TO SCALE)Scale chosen _______N = ________cm

Experimental Solution. Draw in and label where the third weight went.

2N (200g)

1N (100g)

Situation 3

Mathematical Solution (draw vectors head to tail) Show calculation of the magnitude AND direction.

Graphical Solution (draw vectors TO SCALE)Scale chosen _______N = ________cm

Experimental Solution. Draw in and label where the third weight went.

2N (200g)

1N (100g)1.75N (175g)

Situation 4-advanced

Mathematical Solution (draw vectors head to tail) Show calculation of the magnitude AND direction.

Graphical Solution (draw vectors TO SCALE)Scale chosen _______N = ________cm

Experimental Solution. Draw in and label where the third weight went.

2N (200g)

1N (100g)