Instructions: On occasion, the notation = [A, θ] will be a shorthand notation for .
Exhibit 3-1
The three forces shown act on a particle. Use this exhibit to answer the following question(s).
-Refer to Exhibit 3-1. What is the direction of the resultant of these three forces?
A) 35°
B) 45°
C) 65°
D) 55°
E) 85°

Question

Instructions: On occasion, the notation  = [A, θ] will be a shorthand notation for  .
Exhibit 3-1
The three forces shown act on a particle.  Use this exhibit to answer the following question(s).
-Refer to Exhibit 3-1. What is the direction of the resultant of these three forces?
A) 35° 
B) 45° 
C) 65° 
D) 55° 
E) 85°

Quizplus · Accepted Answer

The resultant of the three forces is in the direction of the vector sum of the three forces. The vector sum of the three forces is found by adding the x-components and y-components of the three forces. The x-component of the resultant force is 100 N + 50 N = 150 N. The y-component of the resultant force is 50 N + 100 N = 150 N. The magnitude of the resultant force is sqrt(150^2 + 150^2) = 212.13 N. The direction of the resultant force is arctan(150/150) = 45 degrees.

Instructions: on Occasion, the Notation = [A, θ] Will