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# vector - 19 Experiment I Vectors Goals • • Practice...

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19 Experiment I: Vectors Goals Practice resolution of vectors into their components and addition of vectors Visualize these processes on a force table Introduction and Background One of the most important concepts in physics is the concept of vector quantities, such as velocity, acceleration and force. It is essential that you understand the concept of vector, the addition of vectors, and the resolution of a vector into its components. This lab is designed to give you exercises in performing these processes and help you visualize them on a force table. The diagram below illustrates the resolution of a vector F into x - and y -component relative to a given choice of x - y coordinate system: F x = F cos θ F y = F sin θ tan θ = F y / F x 2 2 y x F F F + = Figure 1-1: Resolving a vector into its components There are two common methods for finding the resultant of many vector quantities: the first is the graphic method (parallelogram or tail-to-tip, see your textbook for details); the mathematically precise method is by adding components in which each vector is first resolved into its x - and y - components, the total x - and y -components are then obtained from the algebraic sum of all the x -

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