Understanding Forces on an Inclined Plane: Free Body Diagrams

School
Lenoir Community College**We aren't endorsed by this school
Course
PHY 43681
Subject
Mechanical Engineering
Date
Dec 10, 2024
Pages
12
Uploaded by MagistrateClover25527
LAB 5: FORCES ON AN INCLINED PLANE
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Navigate to:https://ophysics.com/f3.html
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Draw a free body diagram of each mass and paste it here:
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Step 1: constant angle(θ)Keep angle of inclination to 20° as shown in the screenshot on the next slideSet the coefficient of friction to 0.26Set the mass of cart 2 to 6 kg Adjust the mass of the suspended mass until the system is in equilibrium (a = 0). Note the value of m1in the table. Repeat for m2values of 7.5 kg and 9 kg. For one setup, calculate the expected value of m1 and paste a picture of your calculations on the slide after the table.
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Angle of inclination [θ]Mass of cart [m2] in kgSuspended mass [m1] in kgCalculate m1 for one setup20°6 kg3.5 kg3.52 kg7.5 kg3.5 kg4.40 kg9 kg3.5 kg5.27 kg
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Paste your sample calculations here:
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Step 2- constant mass(m2)Keep the mass of the cart (m2) constant at 7 kg as shown in the screenshot.Set the coefficient of friction to 0.26Set the angle of inclination to 25 degrees. Adjust m1until the system is in equilibrium Record your value on the table Repeat for angles of 30 deg and 40 deg. Calculate the expected value for m1 by hand, take a picture of your calculation and paste it on the slide after the table
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Mass of cart [m2] in kg Angle of inclination [θ] Suspended mass [m1] in kgCalculate m1 for one setup7 kg25°4.61 kg4.61 kg30°5.08 kg5.08 kg40°5.90 kg5.90 kg
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Paste your sample calculations here:
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Answer the followingIf you plotted a graph of m1vs. the angle θ, would you expect to get a straight line through the origin? Why or why not?You would not expect to get a straight line through the origin because the relationship between m1 and θis non-linear. As θincreases, both the gravitational component along the incline and the frictional force change at non-constant rates, which cases m1 to increase in a curved manner rather than linearly.
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