Question

Consider the following data:

R = 34000 N, rise for R = 1, run for R = –3

S = 58000 N, rise for S = 9, run for R = –16

What angle does the resultant make with the positive x-axis?

Multiple Choice

• 214.675º

• 139.675º

• 154.675º

• 164.675º

Answer 1

As the given run values are negative, both R and S will be in the second quadrant.

Using the rise and run values, we can find the angles made by R and S with the negative x-axis

for R,

for S,

The net component of the resultant in the negative x-axis is

The net component of the resultant in the positive y-axis is

Therefore, the angle made by the resultant with the negative x-axis is

Therefore, the angle made by the resultant with the positive x-axis is