Experiment # 4: Force Table Lab ReportDate Performed: 5/26/15Report Submission Date: 6/2/15Lab Section: 2:00pm-3:50pmLab Instructor: MD Mushfiqur RahmanPurpose:To add a set of vectors using three different methods (experimental, graphical and analytical methods) to find the resultant vector.Theory:A vector is a quantity that has both a magnitude and a direction, such as a force, a velocity or an acceleration due to gravity. A vector can be represented as a symbol (capital letter with an arrow above it, indicating that the quantity is a vector). Vectors can also be represented graphically (an arrow, labeled with the appropriate symbol) where thedirection of the arrow gives the direction of the force and the length of the line is proportional to the magnitude of the force. Finally, a vector can be represented in the form of its components, direction vectors in the x and y directions. The magnitude of the x component can be found using Fx = Fcosθ and the magnitude of the y component can befound using Fy = Fsinθ. The magnitude of the resultant vector can be found by solving √ Fx2 + Fy2= F and the direction of the resultant vector can be found by solving θ = tan-1(Fy/ Fx). One of the methods used to determine the magnitude and direction of theresultant force in this experiment is graphical representation of vector sum (vector addition and subtraction). This is done by adding each of the individual vectors “head to tail” and the resultant vector (sum of all the vectors) is drawn from the tail of the first vector to the head of the last vector. The final method for finding the magnitude of the