Lab 4

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University of Illinois, Urbana Champaign *

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101

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Mechanical Engineering

Date

Apr 3, 2024

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pdf

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Lab 4 Report Hypothesis : At point C, the hand loses contact with the IOLab. We believe this is so since when the force of an object stops being applied, its acceleration would be lowest, as it would immediately start slowing down. Introduction: In this lab, we are testing 3 different hypotheses that determine when a pusher’s hand loses contact with the IOLab, these hypotheses are that contact was lost at the top of the acceleration peak, when the acceleration becomes zero, and when the acceleration got to its lowest value. In this lab, we will attempt to produce a method that experimentally determines which of these hypotheses is correct. Methods: We will be pushing the cart on a flat surface and measure data using the accelerometer chart along with the force sensor to determine when a force is no longer being applied to the cart. The cart will rest on the flat side (without wheels, felt side down) and will be pushed (via the force probe) on a flat lab table. We will then look at the force chart to determine when force is 0. When we determine the time when force is 0, we know that at that same time on the accelerometer chart force is no longer being applied, and thus, the hand lost contact with the IOLab. Results: Key: Red Arrows labelling corresponding hypothesis predictions Green Line: Point In which our data suggests the IOLab lost contact with the hand Orange Bracket: Uncertainty range, in which data where the Force = 0 can be assumed within error. Trial 1:

Hand Lost contact at 1.32 seconds. Trial 2: Hand lost contact at 1.58 seconds.

Trial 3: Hand lost contact at 1.56 seconds. Analysis: After reviewing each trial, we found consistent data that shows that our hand loses contact at acceleration point C. Hypothesis C claims that the pushing hand lost contact with the IOLab when the acceleration got to its lowest value. Using this hypothesis and our data, this tells us that when we remove our hand from the IOLab, acceleration is going to be at its lowest value. In each trial, point C holds a force close to zero (this is due to experimental error, meaning the force of the hand is no longer on the IOLab, and thus the hand has lost contact with the IOLab, with a corresponding acceleration that is the lowest in the whole plot. For example, we see in trial 3, at time t=1.56, the force is – 0.008 (can be assumed to be zero). At time t=1.56, the accelerometer plot corresponds to an acceleration of – 2.366 m/s^2, which is the lowest acceleration measured throughout the whole plot. Conclusion: Our results and data indicate that conclusion C is the most accurate and supports our initial hypothesis. In all 3 of the trials, the data was consistent with hypothesis C, in that, the time when net force applied was 0 almost directly matched the time where the accelerometer graph was at its lowest value. Although there is a small difference between when the accelerometer graph was lowest and our force was 0, the data was still most consistent with hypothesis C and the differences between the lowest value on the accelerometer and when the force was 0 is almost immeasurable.

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