# PHY-215-Lab-4.docx - Borough of Manhattan Community College...

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Borough of Manhattan Community College Physics Laboratory Report # 4 Addition and Resolution of Vectors Course: PHY 215 212L (28518) Date: March 9, 2021 Professor: Boris Niyazov Students: Zahidul Al Amin Pouya Naeimi David Song Krzysztof Szcezepanik Wijdaan Khundmiri
Objective o The objectives of this lab are to find the resultant of a vector addition by both graphical and analytical addition calculations and appreciate the difference between using graphical addition and analytical addition. Equipment Needed o Force table with four pulleys o Four weight hangers o Set of slotted weights (masses), including three of 50 g and three of 100 g o String o Protractor o Ruler o Level o 3 sheets of Cartesian graph paper Description of Simulation Procedures 1. Set up the force table with strings and suspended weights and perform the following cases of vector addition. 2. Vector addition I. Given two vectors with magnitudes F1 = (0.200) g N and F2 = (0.200) g N at 30-degree angle and 120-degree angle, respectively, find their vector sum or resultant by each of the following procedures. A. Graphical. Using the triangle method of vector addition, draw a vector diagram to scale. Use a scale such that the finished vector diagram fills about half a sheet of
graph paper. Measure the magnitude and direction of the resultant (with ruler and protractor) and record the results in the data table. Save your graphical sheets to attach to the Laboratory Report. B. Analytical. Compute the magnitude of the resultant force. Also, compute the angle of orientation from the relationship tan theta = F2/F1. (Why can you use tan theta? Remember that theta is the angle between F and F1) Record the results in the data table. C. Experimental. On the force table, clamp pulleys at 30-degree angle and 120-degree angle and add enough weights to each weight hanger to total 0.200 kg, so as to give weight forces of F1 = F2 = (0.200) g N in these directions. (The weight hangers usually have masses of 50 g, or 0.050 kg.) 3. Vector addition II. Repeat Procedure 2 for F1 = (0.200) g N at 20-degree angle and F2 = (0.150) g N at 80-degree angle. Use the other half of the sheet of graph paper used in Procedure 2(a) for the graphical analysis. 4. Vector addition III. Repeat Procedure 2 with F1 = Fx = (0.200) g N at 0-degree angle and F2 = Fy = (0.150) g N at 90-degree angle. In this case, F = Fx + Fy, where Fx and Fy are the x and y components of F, respectively.
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