Experiment #4The Addition and Resolution of Vectors: The Force TableBy: Monika SzperlakLaboratory Partners:Erin CramerStephanie TawfellosDate: 10/18/11

Objective:The objective of this experiment is to1:•Add a set of vectors graphically to find the resultant.•Add a set of vectors analytically to find the resultant.•Appreciate the difference in convenience between using graphical and using analytical methods of vector addition.Data:1Jerry D.Wilson, Physics Laboratory Experiments 6thed. (Mason OH, Compilation 2010) 61

Experiment 4Data Table Forces ()Resultant R(magnitude and direction)GraphicalAnalyticalExperimentalVector addition 1F1=(0.200)gN, Q1=30F2=(0.200)gN, Q2=120Q=30+45=75R=0.280gQ=30+45=75R=0.283Q=255R=0.282Vector addition 2F1=(0.200)gN, Q1=20F2=(0.150)gN,Q2=80Q=20+25=45R=0.300gQ=20+25.3= 45.3R=0.304gQ=225R=0.300Vector addition 3F1=Fx=(0.200)gN,Q1=0F2=Fy=(0.150)gN,Q2=90Q=36R=0.250gQ=36.8R=0.25gQ=217R=0.250Vector resolutionF=(0.300)gN, Q=60Fx=0.150gFy=0.260gFx=0.150gFy=0.260gFx=0.150gFy=0.260gVector addition 4F1=(0.100)gN,Q1=30F2=(0.200)gNQ2=90F3=(0.300)gN,Q3=225Q=163R=0.130gQ=163.26R=0.132gQ=343R=0.130Conclusion:

a) What we have learned in this experiment is how to add vectors graphically to find a resultant,and add vectors analytically.2“Vectors have magnitude as well as direction, vector quantity is a quantity that has both a magnitude and a direction and thus can be represented with a vector.”Two vectors may be added geometrically by placing those head to tail.The vector connecting both initial vectors is the resultant vector.In the experiment 4,Data Table 1 we are using data from forces column to find the resultant and angle.First,we had drawn the components of the vectors,and find the resultant by using the head-to-tail method of vector addition.When we were using the graphical method to find the resultant and angle,we had to be very careful with the measuring instruments:the rulers and protractor.We did not have any errors in the graphical part because we had drawn everything correctly.Second,we had to use the analytical method to find the resultant and angle.For vector addition 1 and 2 we used equation number 1 and 2.We got a very close number to the graphical.For vector addition 3 we had to use the 3“Pythagorean Theorem”because the two vectors A and B were at the right angles.To measure the angle we used equation;tanQ=B/A.For the vector