Lab 4 1101.001 Virtual Vector Addition Nancy Gonzales PDF

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Download Lab 4 1101.001 Virtual Vector Addition Nancy Gonzales PDF

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Nancy Gonzales PHYS 1101.001

Virtual Vector Addition Use the Phet Interactive Simulation for Vector Addition. https://phet.colorado.edu/en/simulation/vector-addition Download the simulation and click on Explore 2D.

Theory: Vectors can be transformed from Polar Coordinates (r,θ) to Cartesian Coordinates (x,y) using the following transformations.

P→R

x=r cos θ

and

y=r sin θ

The transformations from Cartesian to Polar are:

R → P:

r=√ x 2 + y 2

and

θ=tan

−1

( yx )

Purpose of the lab: The purpose of this lab is to add vectors together both graphically and algebraically. You will be doing four simulations. For two of the simulations you will be adding two vectors together and getting the resultant. For the other two simulations, you will be adding three vectors together and get the resultant. Part I: 1. 2. 3. 4.

With your cursor, move the origin toward the lower left of your graph page. Turn on Angles and Values in the dialogue box in upper right. Select and drag vector a to the origin. Using your cursor extend vector a to 20 units at 60°. It will be hard to get this precisely. Get as close as you can. 5. Record the magnitude and the angle. What the simulation gives as magnitude and angle.

Nancy Gonzales PHYS 1101.001

6. Select and drag vector b to the origin. 7. Using your cursor extend vector b to 35 units long at 20°. Again it will be hard to be precise. 8. Record the magnitude and the angle. What the simulation gives as magnitude and angle.

9. Now turn on the sum. This is the resultant of adding the two vectors. 10. Record this magnitude and angle. 11. Now add the two vectors algebraically. Using the magnitude and angle that the simulation gave you (this is the polar coordinates) for each vector, break the vectors in to their components. Add the x components together and then add the y components together. This is the component form of the resultant. Transform these back to polar form or vector format. Show all of you work. 12. How does your algebraic sum of the two vectors compare to the simulation’s sum of the two vectors. 13. Include a snipped picture of the simulation’s vector addition.

Part II: 1. Repeat Part I with vector a being 15 units long at 45° and vector b being 30 units long at 150°. 2. You may have to adjust where your origin is relative to the grid.

Nancy Gonzales PHYS 1101.001

3. Include a snipped picture of the simulation showing the vectors and their sum.

Part III: 1. Repeat Part I, only now use three vectors: a = 12 units @ 60°, b = 20 units @ 135° and c = 24 units @ -120° (this is clockwise 120°). 2. Include a snipped picture of the simulation showing the vectors and their sum.

Nancy Gonzales PHYS 1101.001

Part IV: 1. Repeat Part I, only now use three vectors: a = 16 units @ 30°, b = 12 units @ 160° and c = 20 units @ 225°. 2. Include a snipped picture of the simulation showing the vectors and their sum.

Nancy Gonzales PHYS 1101.001

3.

Nancy Gonzales PHYS 1101.001...