How Do I Calculate the Pulley Ratio for a Complex Boat Pulley System?

[Darknes51986]

A guy at work gave me this drawing I have attached and asked me to find the pulley ratio. Do I need any other information such as rope lengths, pulley diameters, or load? I traded in my machine design book and don't remember exactly how to calculate the ratio. Is there anything else I can calculate involving the load that would be helpful if I knew the weight of the boat. Thanks for any info.

 

[russ_watters]

Nope, you don't need anything other than what is in the picture.

 

[Darknes51986]

So what I do is break up the pulley into sections and add up the tensions (T) right? With the tensions from each section I can get the ratio? Is this correct? I re-drew the drawing with my work on it. 9T:1T is my answer I just need someone to check that.

 

[Darknes51986]

Can anyone confirm my answer or is it off?

 

[Q_Goest]

Check to verify the sum of the forces is equal to zero in both the X and Y directions. Also verify the tension in any given rope is constant. If both of these are good, then the system is in static equilibrium.