{
 "version": "2026-10-20",
 "license": "Dimension sheets: CC BY 4.0. Standard and published-size files: CC BY 4.0. Xem Studio's own designs (files_license = Xem Studio Design License): free to use and sell things from, not to redistribute as files — https://xemstudio.com/license/. Other publishers' files: their own license, linked beside them.",
 "slug": "single-movable-pulley-mechanism",
 "name": "Single movable pulley (power half the weight)",
 "kind": "hardware",
 "category": "Mechanisms",
 "group": "Pulleys and tackle",
 "year": null,
 "question": "Why does a movable pulley halve the effort?",
 "tags": [
  "mechanism",
  "pulleys and tackle",
  "kinematics",
  "507 mechanical movements"
 ],
 "aliases": [
  "movable pulley",
  "running block",
  "pulley mechanical advantage 2",
  "polea móvil",
  "lose Rolle"
 ],
 "overall_mm": {
  "length": null,
  "width": null,
  "height": null
 },
 "official_cad": false,
 "xem_status": "free-files",
 "les": false,
 "free_files": 1,
 "url": "https://xemstudio.com/objects/single-movable-pulley-mechanism/",
 "sheet_txt": "https://xemstudio.com/objects/single-movable-pulley-mechanism/sheet.txt",
 "sheet": {
  "basis": "Xem Studio design following Brown No. 13 (1868)",
  "overall_mm": {
   "length": null,
   "width": null,
   "height": null
  },
  "notes": [
   "The weight hangs from a pulley that rides in a bight of the rope: two strands hold it up, so each carries half the weight (P = W/2), and the free end moves twice as far as the weight.",
   "Here the rope's standing end plugs into the beam 15 mm left of centre, runs under a pitch-Ø30 sheave in the movable block and up to the hand; the Ø40 × 40 weight hangs from the block's stem.",
   "Brown's No. 13.",
   "Parts (each has its own page): tackle-beam-240-sockets, tackle-block-15-bottom-stem, rope-sheave-3mm-pitch-30, ropes-3mm-single-movable-pulley, tackle-weight-d40x40-socket, dowel-pins-metric.",
   "Brown's movement No. 13 (1868) shows it; this model is a Xem Studio design following his figure, every part at true size."
  ],
  "table": {
   "columns": [
    "parameter",
    "value"
   ],
   "rows": [
    [
     "sheave",
     "pitch Ø30 (Ø3 rope)"
    ],
    [
     "mechanical advantage",
     "2"
    ],
    [
     "hand travel / weight travel",
     "2"
    ]
   ]
  }
 },
 "sheet_text": "Single movable pulley (power half the weight) — dimension sheet\nSource: Xem Studio, https://xemstudio.com/objects/single-movable-pulley-mechanism/  (sheet CC BY 4.0; files Xem Studio Design License, https://xemstudio.com/license/)\nBasis: Xem Studio design following Brown No. 13 (1868)\nCatalog version: 2026-10-20\n\nSizes: see table below\n- The weight hangs from a pulley that rides in a bight of the rope: two strands hold it up, so each carries half the weight (P = W/2), and the free end moves twice as far as the weight.\n- Here the rope's standing end plugs into the beam 15 mm left of centre, runs under a pitch-Ø30 sheave in the movable block and up to the hand; the Ø40 × 40 weight hangs from the block's stem.\n- Brown's No. 13.\n- Parts (each has its own page): tackle-beam-240-sockets, tackle-block-15-bottom-stem, rope-sheave-3mm-pitch-30, ropes-3mm-single-movable-pulley, tackle-weight-d40x40-socket, dowel-pins-metric.\n- Brown's movement No. 13 (1868) shows it; this model is a Xem Studio design following his figure, every part at true size.\n\nparameter  value\nsheave  pitch Ø30 (Ø3 rope)\nmechanical advantage  2\nhand travel / weight travel  2\n\nFiles elsewhere (not hosted by Xem Studio; license as stated by the publisher):\n- Henry T. Brown (1868, public domain): Five Hundred and Seven Mechanical Movements — scan on archive.org — web — Publisher's page; dimensions are facts — https://archive.org/details/fivehundredseven00browiala\n- 507movements.com: Brown's movement No. 13: figure, his text and an animation — web — Publisher's page; dimensions are facts — https://507movements.com/mm_013.html\n\nFree files (Xem Studio Design License, Xem Studio; STEP + STL, 1 parts): https://xemstudio.com/files/hardware/single-movable-pulley-mechanism/index.json\nAPI: https://xemstudio.com/api/geometry?object=single-movable-pulley-mechanism\n",
 "sources": [
  {
   "publisher": "Henry T. Brown (1868, public domain)",
   "title": "Five Hundred and Seven Mechanical Movements — scan on archive.org",
   "url": "https://archive.org/details/fivehundredseven00browiala",
   "formats": [
    "web"
   ],
   "license": "Publisher's page; dimensions are facts",
   "license_verified": true,
   "hosted": false
  },
  {
   "publisher": "507movements.com",
   "title": "Brown's movement No. 13: figure, his text and an animation",
   "url": "https://507movements.com/mm_013.html",
   "formats": [
    "web"
   ],
   "license": "Publisher's page; dimensions are facts",
   "license_verified": true,
   "hosted": false
  }
 ],
 "xem": {
  "status": "free-files",
  "sheet_free": true,
  "mesh_price_usd": null,
  "step_price_usd": null,
  "tolerance_mm": null
 },
 "related": [
  "tackle-beam-240-sockets",
  "tackle-block-15-bottom-stem",
  "rope-sheave-3mm-pitch-30",
  "ropes-3mm-single-movable-pulley",
  "tackle-weight-d40x40-socket",
  "dowel-pins-metric"
 ],
 "fits": [],
 "dimensions": "exact (nominal, no printing tolerance)",
 "dimension_rule": "All geometry on Xem Studio is exact (nominal, true size) with no printing tolerance. Where a part meets another part, the object lists its mating features (feature, exact size, what it mates with, fit class: press, slide, run, socket, clamp or designed). Apply your process's allowance to those features only; 'designed' gaps are part of the design and stay as drawn.",
 "mating": [],
 "faq": [
  {
   "q": "Why does a movable pulley halve the effort?",
   "a": "The weight hangs from a pulley that rides in a bight of the rope: two strands hold it up, so each carries half the weight (P = W/2), and the free end moves twice as far as the weight."
  }
 ],
 "files_license": {
  "name": "Xem Studio Design License",
  "holder": "Xem Studio",
  "url": "https://xemstudio.com/license/",
  "note": "Xem Studio's own design: free to use, print, modify and sell things made from it; not to be republished or redistributed as files."
 },
 "offers": [
  {
   "file": "single-movable-pulley-mechanism-assembly",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "Xem Studio Design License",
   "step": "https://xemstudio.com/files/hardware/single-movable-pulley-mechanism/single-movable-pulley-mechanism-assembly.step",
   "stl": "https://xemstudio.com/files/hardware/single-movable-pulley-mechanism/single-movable-pulley-mechanism-assembly.stl",
   "note": "Assembled mechanism, all parts placed at one pose (STEP keeps each part separate)"
  }
 ],
 "markdown": "https://xemstudio.com/objects/single-movable-pulley-mechanism/index.md"
}