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Explore Does a Ladder Slip on Your First Step? with 30,953 views, 308 likes, and 2 comments. Experience the impact of this video content that has captured audience attention.

Does a ladder slip on your first step? No: the first step makes its feet grip better, and a ladder set too flat slips high up, on rung 13. Two identical 16 ft aluminium ladders, one at the 4-to-1 rule's 75.5°, one set too flat at 60°, each climbed by an 80 kg worker. A ladder's feet need grip μ = (m/2 + M s)/((m + M) tan θ), and the higher you stand (s, the share of the ladder's length) the more they need. On rung 1 the need falls: 0.06 at 60° and 0.03 at 75.5°, from 0.29 and 0.13 before the step. At 60° it climbs to 0.400 on rung 13, the rubber's grip (μ = 0.4), and the feet kick out. At 75.5° the same rung needs only 0.190. The slip comes as the worker's weight passes s = 0.73 of the ladder's length. A ladder set at the 4-to-1 rule (75.5°) never reaches its limit at any rung (OSHA 29 CFR 1926.1053(b)(5)(i)). Simplified: a uniform 14.7 kg ladder on a smooth wall (friction at the feet only; wall friction would move the slip a little higher), an 80 kg climber standing upright, rubber feet on smooth concrete at μ = 0.4, a value inside the 0.3 to 0.5 range measured on ladder shoes and floors (Häkkinen et al., 1988). Sources: Werner D1516-1 specifications; Chang et al., Safety Science 42 (2004) 791-805. #ladder #physics #engineering

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