Is it instantaneous or does it somehow propagate like a wave along the particles of the rope ?
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6It propagates at the speed of sound in the rope. I'm commenting rather than answering because I'm sure this is a duplicate. I'll see if I can find the duplicate I'm thinking of. – John Rennie Apr 07 '15 at 17:01
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3Aha, see What “propagates” a force through the rest of a solid? – John Rennie Apr 07 '15 at 17:02