![]() |
If this is your first visit, be sure to check out the FAQ by clicking the link above. You may have to register before you can post: click the register link above to proceed. To start viewing messages, select the forum that you want to visit from the selection below. |
|
|
Thread Tools | Display Modes |
#1
|
|||
|
|||
![]()
On Nov 10, 2:22*pm, rb608 wrote:
It's my contention, however, the the force terms should be grouped, and that the unbalanced force causing the line acceleration is actually (Frt - Flt). *This allows your model to fit into the F=ma equation as: (Frt - Flt) = Fi * Fa Having said this however, I'd clarify that in reality, the line tension Flt and the force on the rod tip (parallel to the line) Frt are the same force (in opposite directions), because it's the rod tip that imparts that force to the line. One needs to examine exactly where one wishes to consider the free-body diagram. Because we're looking at how the line accelerates, we can leave the rod out of the equation altogether. The unbalanced force imparted as line tension by the rod tip F will cause the mass of the line m to accelerate at a rate a. Because m is constant, more F causes faster a. It's not a static model because a0. It's a lot simpler mathematically than it is with a rod in your hands (well, my hands anyway.) |
#2
|
|||
|
|||
![]()
rb608 wrote:
On Nov 10, 2:22 pm, rb608 wrote: It's my contention, however, the the force terms should be grouped, and that the unbalanced force causing the line acceleration is actually (Frt - Flt). This allows your model to fit into the F=ma equation as: (Frt - Flt) = Fi * Fa Having said this however, I'd clarify that in reality, the line tension Flt and the force on the rod tip (parallel to the line) Frt are the same force (in opposite directions), because it's the rod tip that imparts that force to the line. One needs to examine exactly where one wishes to consider the free-body diagram. Because we're looking at how the line accelerates, we can leave the rod out of the equation altogether. The unbalanced force imparted as line tension by the rod tip F will cause the mass of the line m to accelerate at a rate a. Because m is constant, more F causes faster a. It's not a static model because a0. It's a lot simpler mathematically than it is with a rod in your hands (well, my hands anyway.) What I basically want to do is to find out the proportions and relations of line tension to rod loading for any given rod and any given mass of line. One is of course obliged to assume an optimum cast as well, as without the correct and constant, ( or steadily increasing) line tension, acceleration is erratic, and losing tension at any point in the cast causes it to fail, ( or be less than optimal). Given that the basic theory is correct, then I only need to graph the math and I should be able to plug in any data I want and achieve the optimum by modeling. Unfortunately, I seem to be having more trouble with the math modeling than I should be. It would seem obvious that the force required to tension the line is not used to accelerate it. Therefore, the force Lt = the force Rt minus the force Fa. Using the actual data one can work out the rod loading for any given mass, line tension etc, for any mass of line within the rod capabilities, among other things. Thatīs really the point of the exercise, and also to explain why and how a haul works. |
#3
|
|||
|
|||
![]() This should also explain why a haul gives a much longer cast, as the line tension is converted into momentum. But I would like to prove this mathematically, not just theoretically and empirically. |
#4
|
|||
|
|||
![]() |
#5
|
|||
|
|||
![]()
On Nov 10, 3:20*pm, "
wrote: It would seem obvious that the force required to tension the line is not used to accelerate it. It is the same force. Ignore gravity and imagine a fly line suspended horizontally. Add a force to one end. the line will accelerate in that direction (F=ma) for as long as the force is applied. The longer the duration of the force, the faster the line moves. The velocity at any time is the acceleration times the time (v = at). If you further acclerate the line with a haul, that adds to the velocity imparted by the rod tip, and V = v(rod tip) + v(hauling speed). Walla, greater line speed, longer casting distance. That's a gross simplification without considering the flexure of the rod tip, but it's the basic model. As near as I can speculate based on my knowledge of the physics and my ineptitude at actually doing it, my guess is there's a "magic" timing and speed for which the haul effect is maximized without being mostly attenuated by sudden tip flexure from the added load; but I'm convinced in this endeavor, the art is of far more beauty than the mathematics. |
#6
|
|||
|
|||
![]()
On Nov 10, 9:51*pm, rb608 wrote:
On Nov 10, 3:20*pm, " wrote: It would seem obvious that the force required to tension the line is not used to accelerate it. It is the same force. *Ignore gravity and imagine a fly line suspended horizontally. *Add a force to one end. *the line will accelerate in that direction (F=ma) for as long as the force is applied. *The longer the duration of the force, the faster the line moves. *The velocity at any time is the acceleration times the time (v = at). If you further acclerate the line with a haul, that adds to the velocity imparted by the rod tip, and *V = v(rod tip) + v(hauling speed). * *Walla, greater line speed, longer casting distance. *That's a gross simplification without considering the flexure of the rod tip, but it's the basic model. As near as I can speculate based on my knowledge of the physics and my ineptitude at actually doing it, my guess is there's a "magic" timing and speed for which the haul effect is maximized without being mostly attenuated by sudden tip flexure from the added load; but I'm convinced in this endeavor, the art is of far more beauty than the mathematics. The main problem with that is, that line "acceleration" is impossible without line tension. Line tension is also what makes the line stay straight, and also holds it in the air. Without tension it immediately begins to fall or deform. The force required to maintain tension in the line can not be used to accelerate it. The added acceleration only appears when the line is released at the correct moment, and that tension is also then converted to momentum. If you go back to the fence post model for a moment. Lay a line on the ground and tie one end to the top of the post. Slowly pull the line taut. The first thing that happens is that the line lifts into the air as a result of the tension on it. The same thing happens if you accelerate the line without it being fixed, but in this case against the inertia of the line itself. The second thing that happens is that the line exerts a force on both ends, on the post, and on your hand. This force is directly proportional to the tension in the line. The tension in the fence post model does not accelerate the line in the accepted sense, it is fixed between two points, it is merely a force present at all points parallel to the line. If you let go of the line suddenly, it will spring away from you as tension is released as the the tension is converted to momentum. The quicker you release it, the faster it jumps away. The rod spring allows you to force the release of tension more or less immediately, also adding the force of the rod spring itself, and when casting with a fixed line length, it is this tension which allows you to cast at all. Without it, the line simply falls to the ground. It is the tension which causes the line to roll out in a loop. The line as a whole does not actually go anywhere independently, as if you were throwing a stone for instance, it simply rolls out under tension. If there is sufficient momentum left, after the main roll out, and you release the line, it will keep on going for a while until it loses tension and momentum.( Shooting). Even after you have released the line on a shoot, there is still some tension on the rear end of the line as it pulls the backing. Without this tension, ( which is also the reason for rear tapers on shooting heads etc) the line would not turn over in a loop, it would ( does!) simply crumple and start to fall. The reason the haul gives such a massive increase in distance, or forces turnover into a wind etc, is that the greater the line tension, the straighter the line, and the less fluid friction, and the faster the line rolls out. The line is not "accelerated" by the haul at all in the accepted sense, and the concept of "line speed" is a complete misnomer in my opinion. Even a small fast haul adds a lot of tension to the line which makes it straighter, and also adds considerably to the momentum which eventually accrues if the line is released. ( When shooting, casting heads etc). When casting "normally", the line is not released at all, ( and should not be, as this decreases tension), but simply rolls out to itīs end and then falls out of the air as tension decreases. Once you know that you are trying to "roll the line out" under tension, then a lot of difficulties seem to simply fade away. using this concept I have taught people to cast very well in a couple of hours, and several other instructors I know now use the method exclusively. You donīt have to think about a lot of "steps" in the cast ( there are none anyway it is a complete fluid motion), you donīt learn a lot of mistakes, and you donīt have to think about much at all. Most people do it instinctively once they grasp the concept. Give it a try, I am sure you will be most pleasantly surprised. It is harder for a caster with ingrained faults and muscle memory to do, becaue he has to "unlearn" or forget everything else first, but it is still a lot easier than trying to "improve" poor casting by adding more steps and rules etc. Think of the cast as one fluid action, where you are trying to roll the line out under tension. Forget everything else, rod positions, hand positions etc etc. Just do it. Lastly, the maths are not at all necessary, but I would like mathematical proof as well, I donīt tell beginners any math or anything like that. I basically tell them what I have just told you. Most are casting pretty well within an hour. TL MC |
#7
|
|||
|
|||
![]()
This guy, who is also a champion caster in a number of disciplines,
uses the same basic teaching technique; http://www.ukswff.co.uk/Casting4.shtml But donīt start trying to analyse lots of things before you have got the simple easy casting stroke down. Just roll the line out under tension. TL MC |
#8
|
|||
|
|||
![]()
rb608 wrote:
On Nov 10, 3:20 pm, " wrote: It would seem obvious that the force required to tension the line is not used to accelerate it. It is the same force. Ignore gravity and imagine a fly line suspended horizontally. Add a force to one end. the line will accelerate in that direction (F=ma) for as long as the force is applied. The longer the duration of the force, the faster the line moves. The velocity at any time is the acceleration times the time (v = at). If you further acclerate the line with a haul, that adds to the velocity imparted by the rod tip, and V = v(rod tip) + v(hauling speed). Walla, greater line speed, longer casting distance. That's a gross simplification without considering the flexure of the rod tip, but it's the basic model. As near as I can speculate based on my knowledge of the physics and my ineptitude at actually doing it, my guess is there's a "magic" timing and speed for which the haul effect is maximized without being mostly attenuated by sudden tip flexure from the added load; but I'm convinced in this endeavor, the art is of far more beauty than the mathematics. There are other ways to explain it. Consider a steel cable. Everybody knows what happens when a steel cable under tension breaks, or is released. It snakes away with very considerable force. We have all heard horror stories of such a cable cutting a man in half, or decapitating someone. This is purely the result of tension on the cable. As soon as it is released, the tension is converted to kinetic energy. It is my contention that precisely the same thing happens to a fly-line. Of course the fly-line is on a smaller scale, and has less mass than a steel cable, but in my opinion the principle is exactly the same. Here thr main point is that the tension alone is not sufficent, once under tension, the line and rod must be accelerated while maintaining that tension. All faults can be traced directly to the lack of, or erratic line tension. Tailing loops are caused by concave movements of the rod tip, whihc causes a curve in the line, a curved line is not under tension like a straight one, Indeed, being staright is a prerequisite of obtaining the tension, and thus allowing acceleration of the line and rod tip. The other points, most of which I have not yet mentioned to a wider public, all confirm the theory, and allow one to easily explain what happens while casting, and also explain all the faults, and why they occur. |
Thread Tools | |
Display Modes | |
|
|
![]() |
||||
Thread | Thread Starter | Forum | Replies | Last Post |
Hauling, Rod-loading. | [email protected] | Fly Fishing | 103 | November 14th, 2008 04:00 PM |
Hauling, Rod-loading. | rb608 | Fly Fishing | 1 | November 10th, 2008 10:55 PM |
Hauling on the foward cast? | [email protected] | Fly Fishing | 16 | September 20th, 2007 11:40 PM |
Loading new fly line. | DV Cockburn | Fly Fishing | 3 | March 14th, 2004 07:21 PM |
Loading new line | Mike Keown | General Discussion | 10 | October 27th, 2003 12:35 PM |