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# 11-28-07 - Vector Practice Problems

## by wjerlinger on Nov 30, 2007

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## 11-28-07 - Vector Practice ProblemsPresentation Transcript

• Vector Practice Step-by-Step Directions - How to Solve Vector Addition Graphically
• Length of the line MUST be proportional to the magnitude of the vector
• If you have a vector that is 5 m/s east (0 °) , then to draw the line you must know how long 1 m/s is and what direction east is.
• You need to define what your scale will be
1 inch = 1 m/s 5 inches = 5 m/s 1 m/s 1 m/s 1 m/s 1 m/s 1 m/s
• Example:
• V 1 = 5 m/s @ 0 °
• V 2 = 2 m/s @ 90 °
• If 1 inch = 1 m/s, then V 1 will be 5 inches long and V 2 will be 2 inches long
• Don’t forget direction!
2 inches = 2 m/s 5 inches = 5 m/s
• Now that we have draw the lines, now we need to find the RESULTANT vector
• To find the Resultant vector we must first connect our lines
• They can be connected two different ways
• Tail-to-tail
• Tail-to-tail
Head of V 2 Head of V 1 Tails Head of V 2 Head of V 1 Tail of V 2 Tail of V 1
• To draw the Resultant vector –
• If you draw your vectors Tail-to-Tail, then you must use the “Parallelogram Method”
• Start at the tails, then end at the corner of the dotted lines
• Adding Vectors - Graphically 5 ½ inches = 5.5 m/s V R V 1 V 2
• To determine the magnitude of V R , we must measure it, then multiply by the scale that we used to draw V 1 and V 2
• If our line measures 5 ½ inches long, then
• (5 ½ inches) * (1 m/s) = 5.5 m/s
1 inch = 1 m/s
• We still need the direction