Good morning from a tall-ship sailor. In the noun sense, "strop" also describes a loop of line usually spliced into a ring, although it can take several forms depending on use.
Here are instructions for laying up (building) a ring-shaped strop. Longer ones are quite useful for wrapping around objects so as to become handles; smaller ones are often used as grommets in large sails, for example. http://www.pbenyon.plus.com/B_S_M/Third_Instruction.html
This link shows a longer strop made from a short length of line with an eye splice at each end. Although the origin is indeed nautical, it has applications ashore as well, http://www.surface-tension.co.uk/product...ndle-strop.html
Finally, on wooden blocks (i.e., pullies), a strop is would around the block to give added strength to the block itself. Look at how many there are are on a traditionally-rigged tall ship next time you visit one. http://commons.wikimedia.org/wiki/File:METS_2009_Double_strop_block.jpg.