Lab7

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Texas Tech University *

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1403

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Mechanical Engineering

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Apr 3, 2024

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Uploaded by gisellepaz71

Lab 7 Report Section 07: Objects on a Ramp Pivot Interactivities Giselle Paz 6/22/21 PHYS 1403

INTRODUCTION In this lab, we learn about an inclined plane and the forces that act on an object on a ramp. To accomplish this, we will construct a model for how the forces act, examine the model, and we will uncover a technique called extrapolation to test the model. MATERIALS ● Ramp ● Low-Friction Cart ● Track ● Force Gauge ● String ● Protractor PROCEDURE 1. Allow the video to play to watch the full phenomena. 2. We will now be recording our data into a graph of both our angle (degrees) and tension (N) . To do this, we will be going in increments of 2 on our force gauge. Our initial values are 0 degrees and 0 N (0,0).. To obtain our second set of values, move the force gauge until it is on 2. Then, click the tools icon and select the protractor and measure the angle (5 degrees ). *Continue this process until you have collected 8 data points. 3. Now, we will extend our model which simply means that the ramp angle is increased up to 90 degrees. Again, do the same steps as above until you have 9 data points collected.

DATA & DATA ANALYSIS Table & Graph 1: Tension vs Angle The table and graph below demonstrate our angle and tension values on a tilted ramp. From this data, we were able to obtain the following function that describes how the force varies as the angle changes : F( θ )=mgsin θ , T=mgsin θ , T=mg θ (Constant x θ ). We obtain a linear graph. Graph 2: Tension vs Angle The table and graph below display the relationship between force and angle ; however, in this model, our r amp angle has increased up to 90 degrees. Once we have plotted our data, we get a parabola which is why the best function that would fit the data would be quadratic .

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Graph 3: Tension vs Sine of Angle Below, our table and graph based on our new data , sine of angle , shows better accuracy as we obtain a linear graph. In addition, The slope of the line is mg, its significance is that it represents that it is constant. The general equation for the component of the force gravity directed parallel to the ramp is F=mgsin θ . CONCLUSION The purpose of this experiment was to learn and understand the forces that act on an object when on an inclined ramp, and to explore the technique, extrapolation. We were able to perform a lab using an interactive video from which we were able to obtain three different graphs. In our first graph, we collected data (angle and tension values), on a tilted ramp; the data describes how the force varies as the angle changes : T=mg θ . In the second graph, we get a parabola which indicates that a quadratic function is the best fit for our data. We have a parabola because our data is based on a ramp angle that has increased up to 90 degrees. Lastly, the third graph is linear. This graph is the same data as our second graph we just included sine of the angle - general equation for the component of the force gravity directed parallel to the ramp is F=mgsin θ . PERSONAL LEARNING EXPERIENCE In this experiment, I was able to learn about the forces that act on an object while on an inclined ramp . In this activity, not only were we able to use models that demonstrate how forces act but, we were also able to learn about extrapolation. I found that being able to use the protractor and a new instrument, force gauge , to be helpful. With these tools, I measured and collected values onto a table, then created a graph which made it easier to see what was occurring. Overall, I was able to learn how force varies as the able changes.