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The Official Table of Drops, formerly issued by the British Home Office, is a manual which is used to calculate the appropriate length of rope for long drop hangings. Following a series of failed hangings, including those of John Babbacombe Lee , a committee chaired by Henry Bruce, 1st Baron Aberdare was formed in 1886 to discover and report on ...
The ropelength of a knotted curve is defined as the ratio () = / (), where is the length of and () is the knot thickness of . Ropelength can be turned into a knot invariant by defining the ropelength of a knot K {\displaystyle K} to be the minimum ropelength over all curves that realize K {\displaystyle K} .
A single-pitch route can range from 7 metres (23 ft) to the full length of the climbing rope (by definition, the longest belay of a 'leader' is limited by the length of the rope). In the 1960s to the 1980s, climbing ropes were typically 50 metres (160 ft) in length, however, modern ropes are typically 60–70 metres (200–230 ft) in length ...
The climber will fall about the same height h in both cases, but they will be subjected to a greater force at position 1, due to the greater fall factor.. In lead climbing using a dynamic rope, the fall factor (f) is the ratio of the height (h) a climber falls before the climber's rope begins to stretch and the rope length (L) available to absorb the energy of the fall,
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Just as the area below a line is proportional to the length of the line between boundaries, and the area of a circular sector is a ratio of the arc length (=) of the sector (=), the area between an involute and its bounding circle is also proportional to the involute's arc length =: = = for < <.
The S&P 500 has surged 27% in 2024, on track for its best year since 2019. Wall Street forecasters weren't particularly bullish at the start of the year.
Elon Musk and Vivek Ramaswamy will head to Capitol Hill next week to meet with House Republicans on their plan to slash regulations and other parts of the federal government. Speaker Mike Johnson ...