Analysis

Component Method

1. Label on your graph paper each sketched string as vector A, B, C with their measured magnitudes.

2. Determine the xy-vector components of each string.
Do this by first measuring, with a protractor (and recording in your notes), the angle each string vector makes to the horizontal. Then calculate the x and y component magnitudes using trig (with the angle and the measured force associated with that string). Finally add the sign of positive or negative direction.

3. Determine the xy components of the resultant vector from adding the A, B, C vectors.
Resultant x-component is the sum of the individual x-components determined in step 2. Similarly for the resultant y-component. Pay attention to the sign of the individual components.

4. Determine the magnitude and direction of the resultant vector. State the resultant vector magnitude in units of newtons.

5. Consider the uncertainties for each step of the process. Record in your notes accuracy issues with each step and an estimate of how large an uncertainty is associated with it.

Graphical Method

1. Sketch the direction of each string onto separate clear acetates.
Do this by aligning the acetate over your graph paper with the data sketch and draw a line indicating the direction of a string. Use a separate acetate for each of the three strings. Clearly label the acetates relating them to the relevant string and include the force magnitude of the string.

2. Draw a scaled vector on each acetate using 1cm=1N
Using an overhead felt pen, trace the direction of your string line for the length required. Be as accurate as possible in drawing the vector length and direction. Indicate direction with an arrow head.

3. Overlay each acetate, combining vectors head to toe
Tape the series of acetates to a graph page (into your notebook) with careful attention to position and orientation (vector direction must not change).

4. Measure the magnitude and direction of the resultant vector using a ruler and protractor. State the resultant vector magnitude in units of newtons.

5. Consider the uncertainties for each step of the process. Record in your notes accuracy issues with each step and an estimate of how large an uncertainty is associated with it.