Presentation on theme: "Adding Multiple Forces that are not at right angles."— Presentation transcript:
Adding Multiple Forces that are not at right angles
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 ?
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
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?
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.