Hanging cable problem
WebAbstract. We investigate the ‘hanging cable’ problem for practical applica-tions. We focus on determining the minimum distance between two vertical poles which will prevent a cable, hanging from the top of these poles, to touch the ground. We consider two set-ups, starting with the case of equal poles then generalizing to unequal poles. WebSep 7, 2024 · One physical application of hyperbolic functions involves hanging cables. If a cable of uniform density is suspended between two supports without any load other than its own weight, the cable forms a curve called a catenary. High-voltage power lines, chains hanging between two posts, and strands of a spider’s web all form catenaries.
Hanging cable problem
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WebJul 12, 2024 · If the cable is 80 m, then half of it is 40 m. But notice 40 m from the top of a 50 m pole is already 10 m above the ground. The cable therefore is hanging directly … Webcatenary, in mathematics, a curve that describes the shape of a flexible hanging chain or cable—the name derives from the Latin catenaria (“chain”). Any freely hanging cable or string assumes this shape, also …
WebThis is not too surprising, because the potential energy of the hanging chain in simplified units is just ∫y ds = ∫y (1 + y ′ 2)1 2dx, the same as the area function for the soap film. But there’s an important physical difference: the chain has a fixed length. The soap film is free to adjust its “length” to minimize the total area. WebThe distance between the x-axis and the lowest point of the cable, a = 4.5 ft; The tension force at the lowest point of the cable, T = 1.5 lb We want to find: The equation of the cable, y(x) The second derivative of the cable, d 2 y d x 2; The value of y at x=0, y(0) The value of the first derivative of the cable at x=0, d y d x
http://staff.math.su.se/hoehle/blog/2024/07/23/cable.html WebMar 23, 2013 · Hanging cable problem MHB; Thread starter soroban; Start date Mar 22, 2013; Mar 22, 2013 #1 soroban. 195 0. The ends of an 80-foot cable are attached to the …
WebA cable of 80 meters is hanging from the top of two poles that are both 50 meters off the ground. What is the distance between the two poles—to one decimal point—if the center cable is: 20 meters off the ground and 10 …
WebJul 15, 2004 · That's because you are probably used to problems that allow the "massless rope" approximation. A section of massless rope will have the same tension throughout. Imagine a heavy chain hanging from the ceiling. It's certainly in equilibrium. Take the chain as a whole: the tension at the top must equal the weight of the entire chain. toowoomba grammar school staffWebHanging cables are one of the simplest structural system, as they only use tension to resist loads. As loads are applied, however, the geometry of the hanging cables adapts to the … piaa physical formWebDetails. For equal cable lengths, a force balance in the direction is done to determine the cable tension: is acceleration due to gravity. When the cable lengths are unequal, force balances in the and directions are done to … piaa physical form 2022 section 8WebJun 9, 2024 · A common question to those initial practitioners of classical mechanics it to find the tension of a rope hanging between two trees, at the end and the middle. Below a graphical description of the situation. The answer to this problem is well known and it is T end = m g 2 sin θ end, T middle = m g 2 tan θ end. toowoomba grammar school logoWebFeb 19, 2024 · An anonymous reader shares a problem that Amazon asks in its interviews: A cable of 80 meters is hanging from the top of two … piaa pitch count rules 2022WebMar 17, 2024 · Just unplug your network cable from the port and then use a piece of dry and clean cloth to wipe the Ethernet port. Then, connect the cable to the port and see if you … toowoomba grammar school term datesWebJan 31, 2024 · A viral YouTube video claims that a prospective employee encountered one such problem during an Amazon job interview for software engineers and developers. It … piaa physical form 2023