# LAB 4.docx - Experiment 4 Force Table Thursdays 12:00-1:50...

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Experiment 4 Force Table Thursday’s 12:00-1:50 PM Experiment date: February 9 th , 2017 Submission date: February 16 th , 2017
Purpose The purpose of this experiment is to learn how to add a set of vectors using three methods- experimental, analytical, and graphical to find the resultant vector. We are going to use a force table to find the equilibrium force and angles for these three measurements: 1) ´ F 1: 200g at 30.0 o ; ´ F 2: 200g at 120.0 o 2) ´ F 1: 150g at 30.0 o ; ´ F 2: 150g at 150.0 o ; ´ F 3: 150g at 180.0 o 3) ´ F 1: 250g at 30.0 o ; ´ F 2: 200g at 120.0 o ; ´ F 3: 150g at 180.0 o Theory The equipment that will be used is a force table, weight hangers, slotted weights (mass), protractor, and a compass. We need to know that a scalar quantity is different than a vector quantity. A scalar quantity is a quantity that can be specified by its magnitude alone such as time (t), mass (m), volume (V), etc. A vector quantity is a quantity that must be specified by both its magnitude and direction such as force ( ´ F ), velocity ( ´ v ) , acceleration ( ´ a ), etc. There are several representations of a vector. For example ´ F , is a symbol that has an arrow at the top which indicates that force is a vector, and F = | ´ F ¿ indicates its magnitude. A graph is also used to represent a vector. On the graph is an arrow, whichever direction the arrow is pointing to, is the direction of the force. ´ F Also, the length of the arrow is proportional to the magnitude of the force. The components of a vector are ´ F = ´ F x + ´ F y = F x ^ x + F y ^ y where ^ x and ^ y are unit vectors (or direction vectors), which are used to indicate the directions of the x and y axes respectively. A unit vector is a vector of the length 1, i.e., | ^ x | = | ^ y | 1 The two components of ´ F are F x = F cos θ and F y = F sin θ The magnitude of ´ F is F = F x 2 + F y 2 The direction of ´ F is tan θ = F y / F x or θ = tan -1 ( F y / F x ) However, a vector can be moved from one location to another in space as long as its magnitude