# Adding Multiple Forces that are not at right angles

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Adding Multiple Forces that are not at right angles

The Ant applies 100N@2200 The Penguin 200N@2400 Jackie Chan 300N@3080
These three cartoon creatures are trying to pull a statue. Graphically find the resultant vector if: The Ant applies The Penguin Jackie Chan Which vector is which? Will it move, and which way will it go ? 90 180 270

For graphical vector addition to work, the arrows must be drawn at exactly the right angle using a protractor and must be drawn to scale (proportionally) using a ruler. Check this drawing with a ruler and protractor The Ant applies The Penguin Jackie Chan

Combining the vectors “tip to tail”, regardless of the order, gives us the resultant.
300N How can we graphically find how big this resultant is? 100N

Two dimensional forces must be summed up in the x direction alone, the y direction alone, then finally connected head to tail and added with the pythagorean theorem

Adding Multiple Forces that are not at right angles
2 Possible Strategies: Graphical method: 1. Draw the vectors to scale. 2. Connect the vectors head to tail. 3. Resultant goes from head of first to the tail of the last. Analytical method: 1. Use trigonometry to resolve all vectors into X and y components. 2. Add all the x vectors to each other., then add all the y vectors to each other. 3. Find the resultant with the Pythagorean Theorem.

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