Experiment 4 Updated copy.docx - Title of Experiment Force...

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Title of Experiment: Force table Lab date: 5.29.20 Report date: 6.2.20 Name: TA Name: Afrouz Ataei Lab Section #: 1
Purpose: The purpose of this experiment is to add a set of vectors by using three methods with graphical, analytical, and experimental to find the resultant vector. Summary of the theory underlying the experiment: A vector is a quantity that must has a magnitude and a direction, for an example, velocity, force or acceleration due to gravity. A vector can be represented with a symbol such as a capital letter with an arrow right above it which indicates the quantity of a vector. Also, vectors can be represented graphically in which the way the arrow’s direction goes is the direction fo the force and length of of the line is consistent with the magnitude of the force. A vector can be represented by components where the direction vectors go in the x and y directions. The magnitude of the x component can be found using F x = F cos (knot symbol) and the magnitude of y component can be found by using the formula F y = F cos (knot symbol). Now the magnitude of the resultant vector can be found by solving (square root symbol) F 2 x = F 2 y = F and the direction of the resultant vector can be found by using the formula (knot symbol) = tan -1 (F y /F x ). Graphical representation of vector sum, which is the vector addition & subtraction, is one of the few methods used to determine the magnitude and direction. One can do this by adding each of the individual vectors and the resultant vector, which is the sum of the vectors, is drawn from the tail of the first vector all the way to the head of the last vector. Lastly, the final method that is used to find the magnitude of the resultant force is the analytical representation of vector sum or the components method. Specifically, in this method one must use the equations F x = F cos (knot symbol) and F y = F cos (knot symbol). The x components must all be added to find the x component of the resultant (R x ) and then add all of the y components to find the y component of the resultant
(R y
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