Copy of 5AL Pre-Lab 4 Submission Template - F23

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University of California, Los Angeles *

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4AL

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Mechanical Engineering

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Apr 3, 2024

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pptx

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7

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5AL Pre-Lab 4 Assignment [], [11/1], [G27] When finished adding your responses on each slide, save this as a PDF file and upload it to your Gradescope assignment.
Slide 2: Draw the free body force diagram of the dangling mass (m 2 ), when you are holding the system at rest. Be sure to label your coordinate system, to set up F net = ma in the next step.
Slide 3: Draw the free body force diagram of the air cart (m 1 ), in this same configuration where you are holding the system at rest. Again label coordinate axes.
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Slide 4: Write out on paper (and take a picture), or type out (if it is easier), the three equations of Newton’s Second Law (ma = F net = all the component forces summed with proper signs for directions). Be clear about which equation corresponds to which object, and which direction.
Slide 5: Solve the equations for the tension force T in the string acting on the cart. What is the tension for the case m 2 = 200 g?
Slide 6: Draw the free-body force diagram for the cart when it has been released and is accelerating. Write the three equations of Newton’s Second Law for the two masses, now including their accelerations a 1 and a 2 . Assuming the string length is constant, write also an equation relating the magnitudes of a 1 and a 2 .
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Slide 7: Solve these equations for the magnitudes of the accelerations, and for the magnitude of the tension force. What is the acceleration of the cart when m 1 = 500g and m 2 =200 g? What is the tension force for those mass values? Is the tension higher or lower than the static case of slide 5?