Physics Experiment 2 Lab Report

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Florida Institute of Technology *

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2091

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Physics

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Dec 6, 2023

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Physics Lab 1 PHY 2091 - Section 01 Experiment 02 Vector Addition & Components Report Author: Ben Varozza Preformed: 29 August 2023 Report Submitted: 05 September 2023 Lab Partner: Emma Yasinsky Instructor: Pramod Raghav, Mulagala 1/7

Introduction The intention of this experiment was to find the equilibrium between three forces using a mechanics board. This was tested by tying three strings to a plastic ring and then looping them around a pulley, where they supported varying weights. The weights were changed till the plastic ring showed equilibrium of the weights. The results were collected and calculated to Newtons. Data All calculations from grams (g) to Newtons (N) were colmpleted as follows. F=ma (Force=Mass * Acceleration) therefore, Force (N) = (g * earths acceleration due to gravity (9.81). N = [(g * 9.81)/1000] Here is an example: The mass on the first vector is 205g, so to find the force, it was multiplied by the force of gravity. [(205g * 9.81)/1000] = 2.010 N 2/7

3/7

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Data Analysis 4/7

Discussion Uncertainty in Magnitude: a) 0.490 N b) 0.590 N c) 0.390 N This experiment used weights and pulleys to explain the principles of equilibrium and force and how they relate to each other. As weights were added, the vectors changed their magnitude. The angle of each was constant, but the magnitude constantly changed as weight was applied. Consequently, the x and y components also changed each time. Major Sources of Experimental Error: 1. Strings being tied too tight or not tight enough - systematic error 2. Misreading the wheel - random error 3. The pulley wheel not spinning freely - intrinsic random error 4. Misreading the spring-scale - random error These errors effected the results slightly, but the effect was negligible. The largest error was the pulley wheel not spinning freely. When it appeared that the system 5/7

was in equilibrium, it turned out that the pulley had gotten stuck and when we moved it, the system moved out of equilibrium. Describe the relationships between the magnitudes and components of the applied forces in Figures 1 and 2. In figures 1 and 2, the center, and left components of the applied forces are near identical. The most significant change is that the right componant moves up roughly 20 degrees. However, this changes the magnitude quite significantly. The magnitude of fig. 1 is 1.810 N and the magnitude of fig. 2 is 2.010 N. Was the magnitude of the error vector drawn on each graph paper less than the overestimate of the error in the total force acting on the plastic ring? Yes. the overestimated error of the total force acting on the plastic ring was considerable more than the magnitude of of the error vector calculated. The experiment was a success. We had low percent errors between the theory vector and the experiment vector calculations. 6/7

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Conclusion The experiment showcased the principle of how magnitude and the x and y components or angle affect the equilibrium of a system. After finding the equilibrium, the force and angle of the vector were measured. That data was used to calculate the components. The experiment was a success. My lab partner and I contributed equally to conducting the experiment, by taking turns setting up, and collecting data. 7/7

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