Massless CableDate: 05/06/2003 at 17:04:53 From: Jeremy Subject: Massless cable. Why is it that cables are always considered to be massless in a system? My guess is that a cable can support weights around a wheel at both ends, so the mass of the cable is negligible or not important. Date: 05/07/2003 at 11:47:34 From: Doctor Dotty Subject: Re: Massless cable. Hi Jeremy, Thanks for the question. When applying maths to the real world, we can often make our calculations easier by simplifying our description of the situation. For that reason, mathematicians and physicists often ignore such factors as air resistance, the size of the tip of a fulcrum, the gravitational effect of Pluto, etc. Let's say that you have a van being pulled by a rope: 500 N _ _ _ _ /_______________| 5 tons \_ \ |_ _ _ _ _ _| O O The 5 ton m ass is probably rounded to the nearest ton. The 500 Newton force is probably rounded to the nearest 50 Newtons. We would take the acceleration due to gravity to be 9.8m/s^2, which is rounded to one decimal place. Let's say the van is about to move. If you had to work out, for example, the coefficient of friction between the van and the ground, the answer would only be correct to a couple of decimal places because of this. The mass of the rope is so small when compared to the 5-ton van, that it would not affect this rounded answer at all. Does that make sense? If I can help any more with this problem or any other, please write back! - Doctor Dotty, The Math Forum http://mathforum.org/dr.math/ |
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