Determine the forces exerted by the supports on the pipes at contact s

[Kasiopea]

Homework Statement

The question is: Three smooth homogeneous cylinders A, B, C are stacked in a V shaped through as shown in the figure below. Each cylinder weights 100 [N] and has a diameter 5 cm. Determine the forces exerted by the supports on the pipes at contact surfaces. Angel theta is equal to 30 degrees

Relevant Equations

Using the equation of equilibrium at statics

I tried to solve it and I got that the forces on the cylinder A are: F_1= 58.8 and F_2=58.8
Cylinder B are: F_3=117.6 and F_4=117.6
Cylinder C are: F_5= 58.8 and F_6=117.6

Can someone help me with this?

 

[collinsmark]

Problem Statement: The question is: Three smooth homogeneous cylinders A, B, C are stacked in a V shaped through as shown in the figure below. Each cylinder weights 100 [N] and has a diameter 5 cm. Determine the forces exerted by the supports on the pipes at contact surfaces. Angel theta is equal to 30 degrees
Relevant Equations: Using the equation of equilibrium at statics

I tried to solve it and I got that the forces on the cylinder A are: F_1= 58.8 and F_2=58.8
Cylinder B are: F_3=117.6 and F_4=117.6
Cylinder C are: F_5= 58.8 and F_6=117.6

Can someone help me with this?

I came up with some significantly different answers.

Please show us the steps on how you came up with your answers. (A diagram showing which forces correspond to F_1, F_2, F_3, etc. would be nice too. Or at least try to describe which forces are which.)

 

[NascentOxygen]

Cylinder B are: F_3=117.6 and F_4=117.6
Cylinder C are: F_5= 58.8 and F_6=117.6

The symmetry of the arrangement tells you that each of the three forces on C equals the corresponding force on B.