Force vectors can be added together in any order. It does not matter which vector you draw first, the resultant will be the same, both in length and direction. Practice finding resultant vectors by completing this assignment.
You will need a ruler and a protractor. Calculate the resultant force vector for each of the following sets of two force vectors. You will need the protractor to make sure you are redrawing each force vector in the right direction using the correct angles. The ruler is used to redraw the force vectors with the correct magnitude. After you sketch the resultant, measure the length and the direction of it. Provide the magnitude and direction, including the units, for your answers. The horizontal dotted lines are there simply to help you measure the angles with the protractor. Graph paper would help with this assignment.
Example A |
In Example A the first vector is 27° with a force of 23 N. The second vector us 75° with a force of 30 N. Use 10 N = 1 cm as your scale. What is the resulting vector? |
Example B |
In Example B the first vector is 224° with a force of 27 N. The second vector is 123°, with a force of 32 N. What is the resulting vector? |
Example C |
In example C the first vector is 80° with a force of 16 N. The second vector is 144° with a force of 48 N. What is the force and degrees of the resulting vector? |
