Question

You're standing on a ramp that is inclined at a 25 degree angle. The weight (Fg) experienced is 50N. What is the parallel force (Fx) and the perpendicular force (Fy)?I need to do the following: 1. Draw a free body diagram2.Identify Givens and Unknowns3.Identify the Equations4.Set up the equation using the givens and unknowns5.Solve

Answer 1

Fx = 21.13 N

Fy = 45.32 N

Step-by-step explanation:

In this case, the free body diagram is:

We can see that there is a right triangle formed by the weight (Fg) and the ramp. So, we can calculate the value of angle θ.

25 + 90 + θ = 180

115 + θ = 180

θ = 180 - 115

θ = 65

Because the sum of the interior angles of a triangle is always 180 degrees.

Now, we can calculate the parallel force and the perpendicular force using the trigonometric functions sine and cosine, so

Fx = Fg cos θ

Fy = Fg sin θ

So, replacing Fg = 50 N and θ = 65, we get:

Fx = 50 cos(65) = 21.13 N

Fy = 50 sin(65) = 45.32 N

Therefore, the answers are:

Fx = 21.13 N

Fy = 45.32 N