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Solving 2-D Vectors Graphically

Solving 2-D Vectors Graphically. Physics. Why?. You can and people have accurately represented a situation by drawing vectors to scale in order to recreate exactly where they (some object) would end up. How?. There are 7 steps to use to solve vectors using graphical techniques.

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Solving 2-D Vectors Graphically

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  1. Solving 2-D Vectors Graphically Physics

  2. Why? • You can and people have accurately represented a situation by drawing vectors to scale in order to recreate exactly where they (some object) would end up.

  3. How? • There are 7 steps to use to solve vectors using graphical techniques. • If you follow the steps, the vector solves itself.

  4. Step 1 – Make a key • You need to know what the scale is for your drawing. • For example  1 cm in the drawing = 25 m in real life It is a scaled down version of reality and we need to know how scaled down it is.

  5. Step 2 - Show Direction • Which direction is North? Put compass directions on the drawing so we know North/South/East/West

  6. Step 3 – Convert values and draw vectors to scale • Take the values given to you, and convert them using your key. (Be sure to show your work). • Now use a ruler and protractor and draw the scaled down vectors on your graph paper as arrows in the correct direction and with the correct length. • Be sure to draw the first from an origin point, and each vector after that from the head of the previous vector arrow

  7. Step 4 – Draw the resultant vector • Start at the origin point, and draw a single arrow extending from that origin point to the head of the final arrow. This one here

  8. Step 5 – Measure and convert the resultant vector • Use a ruler and measure the resultant vector. • Now convert it back to the real length using your key conversion factor.

  9. Step 6 – Measure the angle • Use a protractor and measure the angle. • Start at the origin point and measure the angle from the closest horizontal or vertical axis to the resultant vector line. • This will be an angle under 90 degrees.

  10. Step 7 – Find the direction of the angle • Now determine the direction of the angle relative to one of the Cardinal directions (North/South/East/West) • Examples  West of North, South of East

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