# Three forces act on the ring 8

Three forces act on the ring. If the resultant force $F_R$ has a magnitude and direction as shown, determine the magnitude and the coordinate direction angles of force $F_3$. Image from: Hibbeler, R. C., S. C. Fan, Kai Beng. Yap, and Peter Schiavone. Statics: Mechanics for Engineers. Singapore: Pearson, 2013.

### Again, we will simplify this like so: (Same image re-shown for your convenience so that you can follow along and see the forces acting upon the ring)

## 8 thoughts on “Three forces act on the ring”

• Rondeep Bora

This numerical helped me solve another one.Thanks!

• questionsolutions Post author

• A calculation mistake at Fr, the Y component should be cos45cos30 j, and not cos45sin30 j

• questionsolutions Post author

Thanks so much for pointing that out. We have fixed it! 🙂

• ar

I didn’t understand how we did the Fr. when we use sin and when we use cos i’m confused and i can’t understand that solving way help me💔🥺

• ar

I understand the video unless that kind of problems which has 2 angles for each component or axis, i mean like the i has 2 cos and j also has 2 cos i didn’t understand how we did that cos45sin30 and so on…. can u explain how we solve Fr step by step exactly please and why we use that exactly need explaining with the details

• questionsolutions Post author

If you watched the 2nd video, the last 2 examples I cover go through exactly what you are asking for. There isn’t anything more I can say or show you other than that. If sine and cosine confuses you, please review trigonometric ratio.