Assignment_The_Ramp_1

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Houston Community College *

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1304

Subject

Aerospace Engineering

Date

May 8, 2024

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docx

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4

Uploaded by marwa2002917

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Hypothesis: As the angle of incline increases, the force of friction between the object and the surface will also increase. This relationship can be described by the equation Ff = uFn , where Ff is the force of friction, u is the coefficient of friction, and Fn is the normal force. The normal force is given by Fn = mgcosθ , where m is the mass of the object, g is the acceleration due to gravity (9.8 m/s ²), and θ is the angle of incline. Therefore, the force of friction is directly proportional to the normal force, which increases as the angle of incline increases. Materials: Computer with internet access PhET Simulation: The Ramp Procedure: After finishing the experiment on the PhET Simulation: The Ramp. First, I selected the mass of the object and the coefficient of friction from the menu. After setting the ramp angle to 0 degrees, I carefully placed the object on the ramp and hit the play button to start its motion. As the object moved, I recorded both the force of friction and the angle of incline. I'm now in the process of repeating these steps for different ramp angles, ranging from 5° to 45°. Each time, I'm adjusting the starting position and documenting the data in a table. It's interesting to observe how the force of friction changes with varying incline angles, and I'm eager to analyze the collected data. Observations: The force of friction increased as the angle of incline increased. The angle of incline had a significant effect on the force of friction. The force of friction was greater for objects with higher masses and higher coefficients of friction.
The force of friction was greatest when the object was at rest or moving at a constant speed. Results: The following table shows the relationship between the angle of incline and the force of friction for an object of mass 100 kg and coefficient of friction 0.3. Angle of Incline (°) Force of Friction (N) 0 0 5 167.27 10 329.22 15 481.17 20 619.29 25 741.15 30 844.56 35 928.68 40 992 45 1033.4 Discussion: The results support the hypothesis that the force of friction between an object and a surface increase as the angle of incline increases. This relationship can be explained by the fact that as
the angle of incline increases, the normal force decreases and the force of gravity (parallel to the incline) increases, resulting in a greater force of friction. The force of friction is also influenced by the mass and coefficient of friction of the object. The simulation allowed us to control these variables and measure the force of friction accurately. The results obtained from the simulation can be used to predict the force of friction for real-life scenarios involving inclined planes. Conclusion: Based on the results of the experiment, it is clear that the frictional force between the object and the surface increases with a greater slope. This observation is important in practical situations, especially when designing ramps or determining the force required to move an object on an inclined surface. The experiment showed the valuable application of simulation to measure frictional forces and unravel the complex relationship between different variables. This insight not only increases our understanding of physical concepts, but also has real-world implications for design and everyday scenarios with inclined surfaces.
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Reference: https://phet.colorado.edu/sims/cheerpj/the-ramp/latest/the-ramp.html?simulation=the-ramp