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Mark128
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Hi, I have a question about a hanging rope - how do you find it's mass? I've been searching a long time, stumbled across some advanced calculus involving catenary functions and equations, but couldn't quite figure it out.
And if a tension at the lowest point is given? Then how to calculate its mass?kuruman said:If all that's given is h and d as shown in your figure, you cannot find its mass. The catenary shape will be the same if you hang ropes of different linear mass densities but equal lengths from the two points. You will need additional information such as the tension at the point of suspension to find the mass.
That external force N makes it a weighted catenary.Mark128 said:And if a tension at the lowest point is given? Then how to calculate its mass?
@Mark128 do you have a practical reason for asking this or are you just playing around with math. If you are playing around with math, then learn the math. If you have a practical reason, then consult a structural engineer to help with your project (and be very specific about exactly what you are doing, WITH numbers)Mark128 said:Hi, I have a question about a hanging rope - how do you find it's mass?
Mark128 said:And if a tension at the lowest point is given? Then how to calculate its mass?
The mass of a hanging rope refers to the amount of matter contained in the rope. It is typically measured in kilograms (kg) or grams (g).
To calculate the mass of a hanging rope, you will need to know the length and diameter of the rope, as well as the density of the material it is made of. The formula for calculating mass is mass = density x volume. The volume of a rope can be calculated by using the formula for the volume of a cylinder, which is pi x (radius)^2 x length.
Knowing the mass of a hanging rope is important for various reasons. It can help determine the strength and durability of the rope, as well as its weight-bearing capacity. It can also be useful in certain scientific experiments or engineering projects where the weight of the rope may affect the outcome.
Yes, the mass of a hanging rope can change depending on various factors such as its length, diameter, and the material it is made of. The mass can also change if the rope is stretched or compressed.
Yes, there are various tools and devices that can help calculate the mass of a hanging rope, such as a scale or balance. These instruments use the force of gravity to measure the weight of an object, which can then be converted to mass. There are also online calculators and formulas that can be used to calculate the mass of a hanging rope.