PHYS-1433    LAB 6

Lab 6 focused on exploring vector addition through graphical, analytical, and experimental methods. The primary objective was to understand how vectors combine in two-dimensional space, determine the resultant vector, and analyze the concept of equilibrium using experimental data. The lab aimed to provide practical insights into how vector components contribute to overall magnitude and direction, reinforcing fundamental principles of vector physics.

The lab was divided into key parts: the first part involved adding two vectors, measuring the resultant vector’s magnitude and direction using a force table, and verifying equilibrium. The second part extended the experiment by adding a third vector, requiring more complex adjustments to maintain equilibrium. For each trial, we measured the resultant vector’s magnitude and direction, recorded in Data Tables 3.1 and 3.2, and compared these values with theoretical calculations derived from vector components.

The experiment also required using trigonometric functions to calculate the x and y components of each vector. We employed these component values to determine the theoretical resultant vector’s magnitude and angle, ensuring accurate comparison with experimental results. The lab highlighted the importance of precision in measuring angles and masses, as well as in resolving vector components to achieve reliable results.

The main goals of this lab were to develop accuracy in measuring vector components, enhance analytical skills in determining the resultant vector, and deepen our understanding of equilibrium forces. The experiment emphasized the consistency between theoretical predictions and experimental observations, demonstrating that vectors can be accurately combined using both analytical and graphical approaches. This hands-on exploration of vector addition provided valuable experience in interpreting and verifying vector relationships, preparing us for more complex studies in force interactions and vector mechanics in future experiments.