Question

Problem 12a

Answer 1

Given information

Given the vectors shown in Fig. 3-35

To determine  

Step-by-step explanation

Step 1.

To get ,

resolve the  and  components of each vector

get components of the resultant vector using the components of vectors  and  

use the Pythagorean theorem and the inverse tangent equation to calculate the magnitude and the direction of the resultant vector.

Recall that the  and  components of any given vector  can be calculated as follows.

 

where is the magnitude of the vector and  is the angle that the vector makes with the  axis.

The magnitude of vector is  and  is , as measured from the axis. Meanwhile, the magnitude of vector is and  is  .

From these, write the equations for the components of the vectors.