Lab Report 4 - Force Table Lab Date: 2/10/2016 Report Date:...

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Force TableLab Date: 2/10/2016Report Date: 2/17/2016Stephanie IoriPHY 2048L – 013Casey Curley
Purpose:The purpose of this experiment was to allow for the familiarization of using a force table in orderto determine vectors.This was considered our experimental findings which was determined by trying tofind the resultant vector (R) of the given vectors and their associated angles. We were also given theopportunity to learn how to graphically draw vectors on graph paper by using a protractor in order to getthe appropriate lengths and angles. Lastly, we were able to mathematically/analytically calculate a set ofvectors by using a myriad of equations that will be discussed in the next section.Theory underlying the experiment:A scalar quantity can be specified by its magnitude alone such as time (t), mass (m), volume (v),and so on and so forth. A vector quantity is specified by both its magnitude and direction such as force(F), velocity (V), acceleration of gravity (g) and so on and so forth.Force as a vector is typically denoted with an arrow across the top of the F, but for the purposeof this lab report, it will be most often written in bold.Fis equal to|F|which is its magnitude. Whenexpressing graphically, the direction of the arrow will give the direction of the force and the length of theline will be proportional to the forces magnitude. The component ofFis,F=Fx+Fy=Fx^x+Fy^ywhere^xand^yare unit vectors (direction vectors) which are used to indicate the direction of thex and y axes. A unit vector is typically a vector of length 1 (ex:|^x|=|^y|1). The two components ofFinclude:Fx=Fcosθ ,Fy=Fsinθ. The magnitude ofFisF=Fx2+Fy2and the direction can betanθ=FyFxorθ=tan1(FyFx). As long as the magnitude and direction are kept constant, a vector

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