The Addition and Resolution of Vectors: The Force Table

1. The Addition and Resolution of Vectors: The Force Table TLSAMP 2005

2. Group Members • Jazmon Malone • Christian Mallet • Kristen Williams • Janna Lipford • Rhonda Laird

3. Force At Work

4. Group Two

5. Objective • To analyze different methods of vector addition.

6. Hypothesis • We believe that the sum of two vectors is not equal to the sum of their magnitude.

7. Group Two At Work

8. Materials • Three Weights • Calibrator • Thread • Force Table • Scissors • Calculator • Pulleys • Washer

9. Methods • Collected all materials • Make all pulleys parallel to the force table • Next you will cut the thread and attach it to each weight • Attach each weight to the washer • After attaching each weight to the washer, place one weight on 30 degrees and the other weight on 120 degrees. • With the remainder weight you will attempt to balance the washer. • When the washer is balanced you will record the degree and the weight that it took to balance the other two weights

10. Methods (Continued) • The weight is the magnitude of the resultant force , and degree is 180 degrees different from the direction of the resultant force • Input your results into the following formula • Record your results on a table. • Repeat this experiment three more times. • Compare the results and come to a conclusion

11. Data

12. Data (Continued)

13. Data (Continued)

14. Data Continued

15. Data Continued

16. Hypothesis Testing • Ho: Theoretical Force = Empirical Force • Ha: Theoretical Force is not equal to the Empirical Force • By using the Paired t-Test we found that the p-value is equal to 0.157964475 • The p-value is less than 0.05 , so we failed to reject the null hypothesis.

17. Data Continued

18. Group Two with the Force Table

19. Conclusion Our Empirical Result supports the theoretical result . The theoretical result is the sum of the forces and magnitude.