Vectors
Learning Objectives
 | Describe the relationship between resultant vectors and their components, |
| Add vectors utilizing both graphical and Vector Sums methods, and |
| Confirm accuracy of these methods by balancing the vectors on a Force Table. |
Equipment
Graph paper, ½ meter sticks, protractors, Force Table, assorted masses.
Procedure
Your group will be assigned one group of vectors (#1,2,3,4,5 or 6). Each group contains three vectors (A, B, and C). See PHY 112 Vector Data Collection Tool.
Tractor Pull - Common Origin
1. Determine a scale (for example, 40 Newtons for each centimeter on the ruler) which will allow enough room to draw three vectors connected at the origin. For example:
2. Draw the x and y components for each vector. For example:
| Using your scale, measure the distance from the origin to the X and Y position. |
| Record the component values for all three vectors under Part II of your Data Collection tool. |
3. Draw the R2 vector on the graph paper. 
| Measure the magnitude using your scale. |
| Measure the direction using the protractor. |
| Record the magnitude and direction under Part II of your Data Collection tool. |
Vector Sum
Refer to your assigned Vectors A, B, and C. Using trigonometry calculate the x and y components for each vector and complete Part III of the Vector Data Collection Tool.
PHY 112 Example:
Check the Accuracy
1. Refer to the common origin graph. Draw -R2 magnitude and direction from the origin.
| Imagine three students pulling a boat on the water, and each vector represents the magnitude and direction of their effort. R2 would be the final magnitude and direction of their effort. |
| Next, imagine another person pulling in the opposite direction to prevent the boat from moving. That would be -R2. The forces should cancel each other with a net force of zero. |
2. Use the Force Table to check the accuracy of your vector sum method from Part III.
| Align three pulleys to match the angles of Vectors A, B, and C. |
| The fourth pulley should match the -R2 vector angle. |
| Apply appropriate masses in grams to represent the magnitude. |
| If you were careful and your vector sum calculations are accurate, the center ring will not touch the center pin of the Force Table. |
3. Print and complete the Lab Homework:
| PHY 112 Homework Assignment |
Homework and Lab Report are both due at the next class.