Question

A force of 50n is applied to an object at an angle of 50 degrees measured relative to the horizontal. Determine the horizontal and vertical components of the applied force?

Answer 1

Fx = 32.14 [N]

Fy = 38.3 [N]

Step-by-step explanation:

To solve this problem we must decompose the force vector, for this we will use the angle of 50 degrees measured from the horizontal component.

F = 50 [N]

Fx = 50*cos(50) = 32.14 [N]

Fy = 50*sin(50) = 38.3 [N]

We can verify this result using the Pythagorean theorem.

`F = \sqrt{(32.14)^(2)+ (38.3)^(2)} \\F = 50 [N]`