When i try to do this i end up with a fourth order polynomial

[ThewyBenner]

Homework Statement

The collar A slides on the vertical smooth bar. Masses ma=20 kg, mb = 10 kg, and spring constant k = 250 kN/m. When h = 0.2m, the spring is unstretched. Determine the value of h when the system is at rest.

Homework Equations

sum of all forces equal zero
sum of all moments equal zero
f_g=mg
can some one please show me how to do this correctly?

 

[Charles Link]

Homework Statement

The collar A slides on the vertical smooth bar. Masses ma=20 kg, mb = 10 kg, and spring constant k = 250 kN/m. When h = 0.2m, the spring is unstretched. Determine the value of h when the system is at rest.View attachment 106098

Homework Equations

sum of all forces equal zero
sum of all moments equal zero
f_g=mg
can some one please show me how to do this correctly?

I also get a 4th order polynomial in h. The equations are simple enough for the forces, but the clumsy geometry seems to create this complexity.

 

[ThewyBenner]

I also get a 4th order polynomial in h. The equations are simple enough for the forces, but the clumsy geometry seems to create this complexity.

Ok, thank you I will try to solve it then.