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# Vector additions - analytically and graphically.

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Finding the vector sum of three forces

1) Experimental method:

Use F1 of 160g at 280 degrees, F2 of 105 grams at 60 degrees and F3 of 75g at 15 degrees counter clockwise from the +y axis. Determine the equilibriant and the resultant of the three vectors experimentally. Record magnitude and direction of resultant. Draw a graph.

We used a force table and the E vector on the table was 60g at 180 degrees if this helps.

2) Graphical method:

Follow the same procedure as for two forces. Record the magnitude and direction of the resultant on graph paper.

3) Component method:

Roughly draw the vector F3. Draw the component triangles with arrows and label relevant angles and magnitudes.

Record x and y components of F1,F2,F3.

Determine and record the x and y components of the resultant.

Use the components of the resultant to make a rough drawing of vector R. Use the diagram to determine the magnitude and direction of the resultant. Does it agree with the other methods?

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The solution is a detailed step by step process demonstrating how to add more than two vectors.

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