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.