Lab 3 - A Walkway Through the Rainforest_ Lidya, Marisa, Drake (1)

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Physics

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Apr 3, 2024

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Exploration and Measurements: ● Can you create a stable system if these two objects have unequal mass? Yes, but the center mass is difficult to take measurements with because it’s uneven. ● Constants: - Side Masses: 50g - Horizontal Separation of Pulley: 48cm - Length of Pulley Strings ( with no central mass from the pulley to the end of the string ): 43cm ● With the system in equilibrium, move the pulleys closer to one another and observe what happens to the vertical displacement of the central object. Observe what happens when you move the pulleys farther apart. Explain how the results of this test agree with your idea of the forces on the central object. - When you move the pulleys closer and farther, the strings on the side get shorter or longer, but the center mass continues to hang at the same position/height. Because no outside forces are acting on the central object, there is no reason for the center mass to move. ● For the objects you choose, determine the measurement error in the sag. - The measurement error in the sag is due to the central mass possibly not being absolutely centered because the strong does have friction, regardless of how little it is, it prevents the center mass from moving to the absolute center. Data Table: Central Mass (g) Vertical Sag (cm) 60g 16 cm 70g 21cm 80g 25 cm 90g 37 cm 95g 51 cm

Analysis: Make a graph of the measured sag of the central object as a function of its mass. On the same graph, plot your prediction. Where do the two curves match? Where do the two curves start to diverge from one another? What are the assumptions that you made about the system? What accounts for any discrepancy between the predicted and the measured displacement? Our prediction was a linear graph formed between the central mass and vertical sag. In the graph, there is a linear correlation between the two components. The only difference is that the graph from experimentation is curved. The assumptions we made between the system is that with an increase of weight in the middle the larger the vertical sag would be until it plateaus due to the string not being long enough or able to hold the central weight. The discrepancy between the predicted and actual data has to do with the weight not being in the exact center of the string and the human error in the measurement of sag as there is no definitive line to measure for the pulleys.

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