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# Lab #2 - Experiment#2 Force as a Vector Erin Samplin Group...

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Experiment #2 – Force as a Vector May 28, 2008 Erin Samplin Group Member: Catie Destio

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0x 90° 180° 270° Pulley #1 500 grams Pulley #2 500 grams Abstract The purpose of this laboratory experiment is to study the resolution of a vector into its components and to visually observe the addition of two vectors. Students will learn how to use a force table, which is a device that allowing for observation of two or more forces acting on an object in equilibrium (Edwards, 2004). The uncertainty of the force table, experimentally calculated, was taken as 10 grams. Results yielded consistent data showing that the resolution of a vector into its components can not only be determined mathematically but also experimentally. Results also yielded consistent data that the force and angle of the resultant vector created from the addition of two vectors can not only be calculated mathematically but also experimentally. Possible errors in this experiment include gross error, systematic error, and random error. Discussion Diagram Equations The theoretical values for M x and M y were determined according to the following equations: M x = 500cosθ M y = 500sinθ where M x is the x-component of M, M y is the y-component of M, and θ is the angle between M and the x-axis. The theoretical value for F was determined according to the following equation: F = (F 1 2 + F 2 2 + 2F 1 F 2 cosØ) ½ where F is the resultant force, F 1 is the x-component of F (equal to 400 grams), F 2 is the y-component of F (equal to 300 grams), and Ø is the angle between F 2 and the x-axis.
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