How Can We Understand the Mechanics of a Pulley System?

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A pulley system's mechanical advantage is determined by the number of rope lengths involved. Two single pulleys create three lengths of rope, resulting in a mechanical advantage of three. In contrast, two double pulleys provide six lengths of rope, yielding a mechanical advantage of six. Visualizing the setup is crucial for understanding, as one participant suggests drawing the configuration to clarify the mechanics. Clear diagrams can help resolve confusion about how the rope interacts with the pulleys.
clz2
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How is this possible? Someone tell me please.
 
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2 single pulleys means 3 lengths of rope (one side to first pulley, first pulley to second pulley, second pulley to second side), hence a mechanical advantage of 3.

2 double pulleys has twice the number of lengths of ropes, so we have 6 lengths of rope, and therefore a mechanical advangtage of 6.

cookiemonster
 
A single pulley by itself may or may not provide a mechanical advantage. My advice o you, clz2 - draw it.
 
Cookiemonster,
Can you draw out your description? I am having trouble following the wording. I thought I understood what you said, but when I try to sketch it myself, I am a bit confused. I think that one side of the rope is attaching to the center of pulley one.
 

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