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Given two vectors with magnitudes F1=200g at 30 degrees and F2=200g at 120 degre

ID: 2106589 • Letter: G

Question

Given two vectors with magnitudes F1=200g at 30 degrees and F2=200g at 120 degrees (note a gram is not a unit of force, but if we convert it into kilograms and multiply by g we will get a force in Newtons), find their vector sum or resultant by the following procedure:


Using the triangle method of vector addition, draw a vector to scale. Use a scale such that the finished vector diagram fills about half a sheet of graph paper. Measure the magnitude and direction of the resultant (with ruler and protractor)

Explanation / Answer

F1 = 1.96( cos30 i + sin30 j) N F2 = 1.96 ( cos120 i + sin120 j ) N Resultant = F1+ F2 = (0.717409 i + 2.677409 j) N = 2.771858 Newtons at 75 degrees in this solution i took g = 9.8 m/sec^2

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