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.

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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 30N 15N EquilibrantResultant

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 19N 12N Equilibrant Resultant

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

Situation 2 2N (200g) 1N (100g) Mathematical Solution: Graphical Solution: Experimental Solution: (find the amount of mass and the location that balances out the 2 forces)

Situation 3 2N (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) 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)