Calculate the characteristics of this compression spring

[bravopipo]

Homework Statement

Hello;

I have as shown in the picture, a rope (in green), this rope is located between a support A and a support B. The Support A doesn't move and attached to the ground. The support B apply a force F1 against the rope, this force is made by a helical compression spring.
Because there is a friction between the rope and the two supports A and B, and because the spring push B toward A so we conclude that much the force F1 increase much it is harder to overcome the friction and move the rope.

The question is: How can I calculate the force F1 required to achieve a minimum overcome force T1 of 200 Newtons ? what I mean by this, is what characteristics the spring should have in order to generate a pushing force F1 that require at minimum 200 Newtons applied to the rope in order to move it ?
If the problem is difficult, may someone please give me a link to a similar problem to seek a solution.
1. Coefficient of friction Rope/Support : u
2. Rope diameter : d
3. Weight of support B : Neglected

Homework Equations

1. Simple spring equation.
2. Friction force between rope and two supports.

The Attempt at a Solution

Neglect the weight of support B, and suppose the contact area between rope and the two supports is A, otherwise I don't know.

Thank You.

 

[Dr Dr news]

So if we neglect the weight of B, then the force exerted on the rope is N = kx, k being the spring constant and x the compression of the spring, Then the friction force opposing the motion of the rope is μ N on both the top and bottom of the rope. That should give you a start on solving your problem.

 

[haruspex]

So if we neglect the weight of B, then

I know you are keen to help, but please try to give less away. E.g. see my response below.

 

[haruspex]

Don't worry about the spring for now. Concentrate on the section of rope between the supports.
Draw a free body diagram for that. What are the forces on it?
What equation relates static frictional force to static friction coefficient?