Torque crank and bucket question

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To determine the minimum force required to raise a 70 kg bucket of water using a crank and cylinder system, the concept of torque is essential. The torque exerted by the bucket's weight must be balanced by the torque applied through the crank handle. The challenge arises from understanding which radius value to use in the torque equation due to a lack of a clear diagram. A suggested resource provides a visual aid to clarify the problem setup. This discussion emphasizes the importance of torque equilibrium in solving the problem effectively.
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Homework Statement



A bucket filled with water has a mass of 70 kg and is attached to a rope that is wound around a 0.035 m radius cylinder. A crank with a turning radius of 0.35 m is attached to the end of the cylinder. What minimum force directed perpendicularly to the crank handle is required to raise the bucket?

Homework Equations



obviously torque = F * r * sin

The Attempt at a Solution



my problem here is i cannot accurately understand the diagram (there is no picture that goes along with it). i cannot tell which r value to use. if someone could clarify that i would appreciate it.
 
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This is really an equilibrium problem: the bucket (via the rope) exerts a tension on the cylinder tending to make it turn one way; you (via the crank handle) have to exert a torque in the opposite direction to balance it out.

I was able to dig up a diagram that will help you visualize what's going on. Go to http://www.physics.utah.edu/~woolf/2010_rich/rev4.pdf and look at the diagram that accompanies problem #24.
 
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