Question

A force of 75 newtons is applied to an object along the x-axis while a 35-newton force is applied along the 1-axis. What is the magnitude and angle made with the x-axis of the resultant force?

Answer 1

Answer:

The magnitude = 82.76[N]; Angle = 25°

Explanation:

To solve this problem, we must use the Pythagorean theorem, then using the properties of the rectangle triangle, we can find the corresponding angle with respect to the horizontal.

The magnitude

Fx = 75 [N]

Fy = 35 [N]

$F_{R}=\sqrt{(75)^{2} +(35)^{2} }\\ F_{R}=82.76[N]$

The angle

tan (α) = 35 / 75

α = 25.01°