The magnitude of each applied force are 20 and 24 pounds respectively.
Given the following data:
- Resultant force = 27 pounds.
Conversion:
1 pounds = 4.44822 Newton.
27 pounds = 120.102 Newton.
What is a force?
A force can be defined as a push or pull of an object, which typically results in a change of motion (acceleration) due to the interaction of the object with another.
F = [tex]180-60-45[/tex] = 75 Newton.
Based on vector diagram, the force (45 N) is more inclined towards the resultant force. Thus, magnitude of the smaller force is given by this mathematical expression (Law of Sine):
[tex]\frac{27}{sin75} =\frac{x}{sin45} \\\\x=\frac{27(sin45)}{sin75}[/tex]
x = 20 pounds.
For the larger force:
[tex]\frac{27}{sin75} =\frac{y}{sin60} \\\\y=\frac{27(sin60)}{sin75}[/tex]
y = 24 pounds.
Read more on force here: brainly.com/question/1121817
