1) what possible sources of error can you identify for the graphical method of v

Question

1) what possible sources of error can you identify for the graphical method of vector addition?

2) what possivle sources of error can you identify for the analytical method of vector addition?

3) what possible sources of error can you identify for the experimental method of vector addition?(using force tables and pulleys and weights)

4) of the graphical and analytic methods, which one do you consider to be more accurate?why?

5) why is it not possible to experimentally determine the resultant vector directly from the force table?

Explanation / Answer

1. In graphical method it is very difficult to draw the exact length and be accurate with the angle between the vectors. The resolution of the scale and protractor used has to be very small from accurate measurement. Also it is very difficult to draw the tail on next vector exactly on the tip of first vector.

2. In the analytical method the only possible source of error is round off error while carrying the calculations.

3. In experimental method errors arise from friction of pulley, mass of strings as well as experimental inability to maintain the angles precise as per requirement.

4. Analytical method is much more accurate than graphical method since the only possible error is the round off error and it is on the person to decide what accuracy to calculation to use. Graphical method has lot more possiblity of error as discussed.

5. In the experimental method 2 forces or more that needs to be added are acted on a ring. An additional force is applied so that the ring stays in the position. So the resultant of the forces is equal and opposite to the additional force applied. So the resultant vector is not calculated directly by this method, rather its an indirect method using additional force.

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