Lab Report 3 Outline for PHYS 2108

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Louisiana State University *

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2108

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Mechanical Engineering

Date

Dec 6, 2023

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docx

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5

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1 Name: Date:9/14/2023 Partners: PHYS 2108 Section: 13 Lab Title: Vectors Lab Report 3 Prelab (2 points) Purpose To focus on breaking down vectors into their respected x- and y- components. The components are recombed to calculate the resultant vector. Procedure (Please keep under ½ page) Using a force table, four force situations were found. The first situation had the pulley at 0˚ and 180˚ with an additional 50g on each hanger pans. The second situation had pulley 1 at 0˚ and pulley 2 at 120˚. A third pulley was added originally at 180˚ with 100g but more weight and location of the pulley was altered to balance the system. The third situation had pulley 1 at 0˚ with 100g mass and pulley 2 at 105˚ with 200g mass. Pulley 3 was 200g and adjusted to balance the system. The fourth situation used the same positions of pulley 1 and 2 but rotated by 45˚. Pulley 3 was placed to bring the table back to balance. During Lab (Findings) Analysis (13 points) Please attach and label ALL CALCULATIONS. Show equation, plugging in values, and box your answer. Attach labeled sketches. Data Table 1: Forces in 1-D Total mass Angle Force (weight) x-comp y-comp F1 150g 1.47N 1.47 0 F2 150g 180 1.47N -1.47 0 Sum of Components: 0 0 X comp: 1.47N cos (0) = 1.47 Y comp: 1.47N sin (0) = 0
2 Magnitude Angle Resultant 0 0 From + x-axis Observations of washers: When removing the washer from the pin and releasing it from rest, there was no change in position. The hanger pans remain the same. Data Table 2: Equal forces in 2-D Total mass Angle Force (weight) x-comp y-comp F1 150g 1.47N 1.47 0 F2 150g 120˚ 1.47N -0.735 1.27 F3(measured) 150g 238˚ 1.47N -0.779 -1.25 F3(predicted) 150g 240˚ 1.47N -0.735 -1.27 % Error in Angle 0.83% Data Table 3:
3 Unequal Forves in 2-D Total Mass Angle Force (weight) x-comp y-comp F1 150g 1.47N 1.47 0 F2 150g 105˚ 2.45N -0.634 2.37 F3 (measured) 260g 250˚ 2.55N -0.871 -2.39 F3(predicted) 250g 255˚ 2.45N -0.836 -2.37 % Error in Angle: 1.96% Data Table 4: Change of Coordinates Total mass Angle Force (weight) x-comp y-comp F1 150g 45˚ 1.47N 1.04 1.03 F2 250g 150˚ 2.45N -2.12 1.23 F3(measured) 255g 295˚ 2.50N 1.06 -2.27 F3(predicted) 250g 295˚ 2.45N 1.08 -2.26 % Error in Angle: 0%
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