Weights, pulley's and a spring

[fableblue]

Homework Statement

Am I heading in the right direction?
If so i am lost now in finding the missing values for the unknown weights, a little nudge would be great. The work that i have attached is CLEANED up so it can be readable.

Homework Equations

The Attempt at a Solution

 

[fableblue]

I finally was able to complete this problem.
First i was going in the wrong direction using unit vectors. I found out that it was a simple force vector problem. Bottom line i was over thing and making it out to be more complicated then it really was, but it was comforting to find out that i was not the only one :-) But anyway I am going to attached my solution. The professor did not use angles in his solution as i did he just used the properties of find the angle sine=opp/hyp and cos=adj/hyp. I used tan to find the angles as you can see. The one that that confuses me is how precise is precise?
Thank youI am new on here and i see that this would be a good place for practice.

 

[nlightner]

It seems like you are on the right track! Weights, pulleys, and a spring are all common components in mechanical systems. In order to find the missing values for the unknown weights, you will need to use some equations and principles from mechanics. These may include Newton's laws of motion, Hooke's law, and the concepts of work, energy, and power. Additionally, you may need to consider the forces acting on each weight, such as tension and gravity. It may also be helpful to draw a free body diagram for each weight to better understand the forces at play. I suggest reviewing your class notes and consulting with your instructor or classmates for further guidance. Keep up the good work!