Question

If stands for a force

vector of magnitude and stands for a force vector of magnitude acting in the directions shown in figure 1, what is the magnitude and direction of the *resultant*obtained by the addition of these two vectors using the analytical method?

Magnitude = Direction (relative to -axis) = °

What is the *equilibrant*force that would be needed to compensate for the resultant force of the vectors and ?

Magnitude = Direction (relative to -axis) = °

Figure 2 below has been constructed to scale with . Using the graphical method, construct (on figure 2) the resultant vector for the addition of and by the parallelogram method. Measure the length of the resultant vector and record it below. State the force represented by this length. Using a protractor, measure the angle that the resultant makes with the -axis.

Resultant vector length = __ __

Force represented by this length = __ __

Direction of resultant relative to -axis = __ __ °

Construct on the axes below a graphical solution to the problem in figure 1 using the polygon method of vector addition. Use the scale .