Physics Lab 3

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Baruch College, CUNY *

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1003

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Mechanical Engineering

Date

Apr 3, 2024

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pdf

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2

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Lab Report 3 : Adding vectors in 2-D, Force Table Goal : To describe the effect of three balanced forces acting on a ring using vector addition and to practice adding force vectors mathematically where two of the vectors are perpendicular. Experimental procedure: 1. Position one pulley to apply a force at an angle of 0°. Call the force exerted by the string that runs through the this pulley F 1 . Put mass of a 100g on the hanger. 2. Position a second pulley to apply a force at an angle of 90°. Call the force exerted by the string that runs through the second pulley F 2 . Put mass of a 100g on the hanger. 3. Position the third pulley to apply a force at an angle. Hang a mass on the string going over this pulley so that the loop centered perfectly. Apparatus Graph 1) For my group the mass m3 of the third hanger is 140g. The angle 0 3 is 226.5°. 2) O 1 = 100 * 9.8m/s 2 = 98m/s 2 O 2 =100 * 9.8m/s 2 = 98m/s 2 O 3 = 140 *9.8m/s 2 = 1373.4m/s 2 3) Theory: |F 3 | theory = √F 2 + F 2 - 0 3 = √0 2 1 +0 2 2 =0 3 √100 2 +100 2 =140 140=141.92 0 3theory = 180 + tan -1 |F 2/ F1| - 0 3theory = 180 + tan -1 (1) 0 3 theory= 225°
Percent Error : O 3 - |226.5°-225°| divided by 225°=0.00666667 *100%= 0.6% Percent Error: F 3 - |140g-141.92g| divided by 141.92g= -0.01352875*100%= -1.4% PART 2: O 1 =100g O 2 =200g Theory √100 2 +200 2 = √50,000 = 223g 0 3 theory = 180°+tan -1 f2/f1 - 0 3 theory = 180°+tan -1 962/981 0 3 theory = 243.43 With Experiment - 0 3 -243.5° 0 3 -240g Conclusion and Sources of Error: The experiment went successfully with my group having very low percent errors. Some potential sources of error could occur during the mathematic part of finding out 0 3 and F 3 . Also another example of human error would be during the initial usage of the pulley. The loop may not be perfectly centered.
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