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Published byIsaac McMahon Modified over 2 years ago

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Adding Multiple Forces that are not at right angles

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These three cartoon creatures are trying to pull a statue. Graphically find the resultant vector if: The Ant applies 0 The Penguin 0 Jackie Chan 0 Which vector is which? Will it move, and which way will it go ?

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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

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200N 300N 100N 0 Combining the vectors tip to tail, regardless of the order, gives us the resultant. How can we graphically find how big this resultant is?

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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

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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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