Vector Problem Homework: Finding Components and Resultant of Three Forces

[Amuro]

Homework Statement

There are three forces, each of magnitude 5.00 N applied to a particle at O in the directions shown in Fig. 1. List the components of the individual forces F₁, F₂, and F₃. Obtain the x and y components of the resultant of the three forces, R = F₁ + F₂ + F₃ and the magnitude of R and its direction by giving the angle to one of the axes.

F₁ vector is right on the x-axis and its direction is east.
F₂ vector is 30 degrees from +y. It is between north and west.
F₃ vector is 30 degrees from -y. It is between south and west.

Homework Equations

The Attempt at a Solution

For the F₃ vector, I did sine 30 = x/5 and I got 2.5. Then I used cosine and I got 4.33 for the other side. I did the same process for the F₂ vector.

So my components were:
F₃ (-2.5, -4.33)
F₂ (-2.5, 4.33)
F₁ (5, 0)

I add the component up to get R and I get 0 for the components and for the vector of R. Did I do something wrong? Or is this correct?

 

[Amuro]

Help anyone?

 

[tiny-tim]

Welcome to PF!

Hi Amuro! Welcome to PF!

I add the component up to get R and I get 0 for the components and for the vector of R. Did I do something wrong? Or is this correct?

No, that looks correct … the magnitude is 0, and the angle is irrelevant.

 

[Amuro]

Hi Amuro! Welcome to PF!


No, that looks correct … the magnitude is 0, and the angle is irrelevant.

Thank you.