Water Dragon Turns

Ever wonder about the ways you can use that Jiulong Ba Step? Well wonder no more. Here is a video from Shizi Orchard showing us that invaluable sequence of solo practice to practical applications. If you want to discuss what you see here, head on over the to Jiulong discussion group.

Discuss this video here:



Matter in Motion: The Physics of Jiulong Baguazhang

Jiulong instructor Barry Solway in Colorado offers a very impressive analysis of the physical properties of the Nine Dragon methods.  This is a fascinating exploration which helps us understand the Jiulong movements from the perspective of physics and provides a clear explanation of what happens when we correctly apply the methods. There is no need to use confusing mystical language when explaining the way Jiulong works and Instructor Solway’s article is a testament to this fact. Take some time to read and re-read this. It is worth it.  Enjoy!!

Matter in Motion: The Physics of Jiulong Baguazhang

© Barry Solway

Mr. Solway can be reached at info@spiralpatharts.com

What does the study of physics and Jiulong Baguazhang have in common?  Both disciplines are a study of matter and motion, a look from different perspectives on how the world around us behaves.  Taking a glimpse at the general principles of physics as applied to martial arts striking can more deeply inform our practice of Jiulong Baguazhang. The dynamics of the human body during movement and under stress are complex and varied and do not lend themselves to simple analysis.  For the purposes of this article, many important considerations are put aside (such as the visco-elastic nature of the human organism, and the ways in which complex forces are dissipated and absorbed throughout the body). This limits the applicability of the models under discussion in the real world, but should provide a sufficient framework for useful discussion.. In particular, we shall attempt to derive some insights into our practice and reveal how Jiulong Baguazhang is rooted in natural principles.

Basic Physics

We start with a basic refresher in physics, the equation for generating force. This equation is F = ma (1), where m is the mass and a is acceleration.  This equation indicates that a force is acting on a body only when it is accelerating.  A body moving at a constant speed does not require a force to act upon it to maintain that speed. The body is said to have momentum, as expressed by Newton’s First Law of Motion.  This occurs in the natural world in a vacuum, and is demonstrated by objects in space that move at high velocities for long periods without any external forces acting on them.  For moving objects in our everyday experiences, we have various forces (such as wind resistance, internal and external friction, etc..) that act to slow objects down. In this case, there is a negative force acting on the body and we need to apply a counter-acting force in order to maintain a constant velocity.

When striking, a more useful way to express the forces involved are to look at the momentum of a body.  Momentum is expressed as p = mv (2), where p is the momentum, m is the mass and v is the velocity.  Momentum can be thought of as a measure of the difficulty of stopping an object in motion.  We shall see in a moment why this equation is more useful than the equation for force above to our understanding of delivering power and force during striking. This gives us a second way to express force, as F = p/t (3), where p is momentum (kg*m/s) and t is time. One way to think of Eq. 3 is that it  describes the amount of force necessary to bring an object of momentum p to rest.

Power is another useful concept in martial application.  Power is work over time and is expressed as P = W/t (4), and given in units of Watts.  Work occurs when we apply force over a distance, W = Fd (5). Power is proportional to the amount of work we do (i.e proportional to the force and the distance), and inversely proportional to how quickly the work is done.  So the faster the work is done, the greater the power. Since work is force multiplied by distance, then (4) can be re-written as (6) P = Fd/t.  The second part of this, d/t, is the equation for velocity.  So P = Fv (7).  To increase the power of a given movement we either have to move with more force or with more speed (or both). If we move with more speed, then the force will be transferred to the object we touch in a shorter period of time, resulting in a higher impact force, as we shall see below.

Collisions

Now, let’s look at the most basic of collisions.  An object that weighs 1 kg is traveling at 10 m/s (meters/ second).  This is about 21.6 mph (miles-per-hour).  Since it is traveling at a constant velocity, there is no appreciable force acting on the body.  A useful equation to express what is going on is the momentum equation (2), p = mv.  This yields p = 1 kg * 10 m/s = 10 kg*m/s.  Assuming an inelastic collision (the objects “stick” together), then when the objects collide, energy is transferred  that may cause deformation to one or both objects. The force of impact is described by Eq. (3), F = p/t. In this case t is the duration of the collision.

Now the first important lesson is revealed.  When a collision occurs, an major consideration is the velocity of the object right before impact.  The method of achieving that velocity isn’t as important as the velocity achieved.  At high velocity, the body has high momentum, resulting in a great impact force when the object collides with another object.  In addition, we are interested in t, the amount of time it takes to stop the object.  This translates into a negative acceleration,.  From equation (3) above, we can see that if the object stops. a force must be acting on it.   The quicker the object stops, the more force is acting on it.   In our example, if the object stopped in 1 second, it would have a force of F = p/t = 10 kg*m/s / 1 s = 10 N acting on.  If the object stops in 1/100th of a second (10 ms), then the force acting on it is F = p/t = 10 kg*m/s / 0.01 s = 1000 N (about 224 pounds). Another way to think of this is that the faster the object stops, the quicker it is de-accelarting, and the higher the force is, as given by Eq. (1).

Back to the Real World

How does this theory apply to our common understanding of martial arts?

We have already seen that the important element in striking is velocity.  This is an intuitive observation.  Since velocity is related to momentum, we can see how Jiulong Baguazhang uses the principles of physics to achieve high impact by maintaining a high momentum through constant movement. [3] gives values on the order of 3 seconds for sprinters to achieve 98% of maximum velocity.  In martial application, we have only fractions of a second to execute a movement, and would like to maximize velocity prior to the strike.  Constant movement is important, because it takes time to break our inertia from standstill. It is therefore possible to achieve a higher velocity in the same amount of time if you are already moving then if you are standing still.

Secondly, we see that if we are moving at speed x, then if we can add a sudden burst of acceleration directly before impact, we can increase the final velocity of our bodies before striking, and increase the force of the strike.  This is the essence of how fa jing can add a tremendous amount of speed to our strikes, creating maximum energy for deformation on impact or throwing. As an example, [1] shows that karate practitioners can accelerate a standing forward punch from standstill to maximum velocity of 6 to 9 m/s in 200 ms.

Additional insights are revealed by research on the breaking of objects such as boards and blocks by martial artists. A summary of results are presented here without elaboration, please see the references for details.

The first interesting observation is establishing a baseline reference when talking about impact force.  [2] gives a table that compares the force necessary to break wood, concrete and living (wet) bone.   It takes a force of  670 N to break a wood board, dry white pine of dimensions 28 cm x 15 cm x 1.9 cm.  It takes 3100 N to break a concrete block of dimensions 40 cm x 19 cm x 4 cm.  Interestingly, living human bone is stronger than either wood or concrete, requiring up to 5400 N to break a wet long bone of 2 cm diameter and 30 cm in length.  These numbers assume the ends of the object are held firmly in place, such as during a board break. This insures that the collision is inelastic, collision times are minimal (< 10 ms) and all the force will go towards deformation, not pushing the object away.

And how much impact force can we generate in Jiulong Baguazhang?  Derivations by  [1] and [2] reveal that karate experts could be expected to generate in the realm of 5000 N of force for a standing forward punch.  Velocities of 7 to 9 m/s are common for this type of strike, with instances of 14 m/s being observed.   Since only the arm is involved in the strike, the mass is considered to be the hand and arm, estimated at 10% of total body weight or ~7 kg for a 70 kg fighter.  Impact times of less than 10 ms are recorded in [1] (with observed times of 5 ms in [2], with de-acceleration in excess of 3500 m/s2).   Assuming the 10 ms impact time, yields a total force of F = 7 kg * 7 m/s / 0.01 s = 4900 N.  This is sufficient to break a long bone of diameter less than 2 cm.  However, placement is important. It was observed that when subjects failed to achieve proper breakage, a frequent reason wasn’t that the force was too low, but that the placement was not correct.  The power levels described here assume the object was hit in the center.  Hitting slightly off-center changes how the forces are applied to the object being struck and can reduce the effectiveness of the strike considerably. The area of the strike is important also. The force per square centimeter is higher if we focus the strike on the heel of the palm, as opposed to the entire palm. So choosing the striking area is important to the overall effect of the strike.

However, this is not the way we apply techniques in Jiulong Baguazhang.  This example is of a standing fighter drawing an arm back to the hip and throwing it out in a forward punch.  In Jiulong Baguazhang, we are constantly moving and the force comes from our legs and waist, not from the arm.  This more resembles the speeds and forces generated from sprinting.  From [3], we have typical maximum sprint speeds in the range of 11 m/s.  Typical walking speeds are in the range of 1.5 m/s (about 3 mph).  In Jiulong Baguazhang, we normally walk at fast walking speeds, in the range of 3 to 5 m/s.  Using fa jing directly before a strike could theoretically lead to velocities upon impact greater than 10 m/s, likely exceeding the values given for a standing forward punch.

More importantly, however, is that fact that the Baguazhang player will attempt to strike with the full weight of the body.  The hand and arm contains 10% of the mass of the body.  By using the full mass of the body behind the strike we increase the effective mass up to 9 times the values calculated above.  In practice, this will be hard to achieve, and possibly undesirable.  It may not be prudent to commit all of one’s mass into one strike, possibly off-balancing oneself. However, the increase seen in the force generated is intriguing.  The theoretical force of impact of a 70 kg sprinter hitting a brick wall at full speed is in excess of 40,000 N, see [5].  This would give us an upper theoretical limit.  A force in excess of 10,000 N (~2400 pounds) would seem realistic for a Baguazhang player of similar mass, where the velocity on impact is 7 m/s (2/3 of a sprinters), only 1/2 of the mass was involved in the technique, and the impact distance is equivalent to trials as described in [2] (in the range of 8 cm).  Note that the impact velocity of 7 m/s is conservative as empirical evaluation in [2] shows speeds of various martial arts strikes up to 14 m/s, thereby doubling our estimate above.  Our estimate of the total mass involved is also conservative.  However, there is no direct empirical research to validate the higher claim, and it remains unresolved as to whether such forces are attainable in practice. The closest analogy is [4], suggesting impact forces of 9000 N or more in collisions involving football players at similar speeds (6 m/s). In this case, the stopping distance is likely longer due to the properties of the padding the players wear, implying targeted combat strikes could have more impact force. Obviously, the application of the technique would heavily influence the maximum force attainable. For example, more force would be generated if the opponent was moving towards the strike as opposed to moving away from the strike.

Jiulong Baguazhang training adheres to natural principles to achieve tremendous forces for striking and throwing. Continuous movement establishes a high baseline momentum.  Fa jing allows us to generate power to increase velocity over short distances directly prior to a strike or throw.  Together, these methods allows the trainee to achieve maximum velocity. Using “whole body power” puts more mass into play.  Proper structure is necessary to direct the force into the opponent at the moment of collision and insure that the force is not absorbed by the joints of the body.  Greater velocity and mass leads to maximum momentum and higher impact forces.

Theory can help inform and clarify the purpose of training methods, but cannot replace the need for constant practice.  Subtle increases in velocity, mass and form can lead to dramatic differences in the effectiveness of a technique. This requires patience and hard work, but the player is rewarded with an intuitive understanding of the underlying physics of movement in the natural world.

Mr. Solway can be reached at info@spiralpatharts.com

Bibliography

[1] Karate Strikes, Jarel D. Walker, Physics Department, Cleveland State University, March 24, 1975 from The Physics of Sports, 2nd Edition, 1993

[2] The Physics of Karate, S.R. Wilk, R.E. McNair, & M.S. Field, Department of Physics and Spectroscopy Laboratory, Massachusetts Institute of Technology, September 28, 1982 from The Physics of Sports, 2nd Edition, 1993

[3] Physics of Sprinting, Igor Alexandrov and Phllip Lucht, Department of Physics, University of Utah, Salt Lake City, Utah; American Journal of Physics 49, 2t4-247(1981); © American Association of Physics Teachers

[4] Tackling Physics By Rhfonda Hillbery, Caltech News, California Institute of Technology, from Tim Gay’s The Physics of Football.

[5] Visit http://hyperphysics.phy-astr.gsu.edu/hbase/carcr.html#cc3 for a simulation of a car colliding into a tree allowing the user to change parameters. Example in article uses mass = 70 kg, velocity = 11 m/s and collision distance = 0.1 m (about 4 inches)


Video – From practice to application

In this 4 minute video, Shizi Orchard shows us a particular movement being practiced on his own, and then some uses of it in combat. He is offering several variations of the same movement and it should give you a sense of how adaptable it is.

No situation is predictable so one needs to be able to change as needed. So watch closely to see the various angles he uses with the same basic posture. You will see him move up, down, inside, outside (the attacker’s punch),  etc. In fact, no two responses are exactly the same since no two attacks are exactly the same.

Interview – Shifu Castaldo

castaldo

Following a Rolling the Pearl workshop a while back, we talked with Shifu Robert Castaldo about the purpose of the New Basics curriculum and the future direction of Jiulong Baguazhang training.  The interview offered some insights into the basics so we thought Jiulong Journal readers would find it interesting.

JJ: How does the New Basics curriculum change the way Jiulong Baguazhang is taught?

RC: The whole purpose of changing the curriculum is to make it more easily understood by everybody involved.  The teachers will have a clearer understanding of what the goals are and where the students need to go, and the students will have a clearer understanding of what’s expected of them and how all the pieces fit together.  So, it changes the way the Art is taught is to make it a more transparent process.  There’s less mystery involved…so that there is a clearer understanding, a more direct approach to our goal of being able to apply these principles in practical application.

JJ:  So what are the specific mysteries that you’re trying to clear away here?  What were the things that were getting in the students’ way?

RC: From my standpoint, the most complicated thing for students to grasp – not merely to understand intellectually and feed back to you in a question and answer session, but to understand in their daily practice – is the way that the process builds from the simplest skill, which is the Quiet Sitting — quieting the mind — through the standing, which has very specific skill sets and engrams that it begins to develop, and how to carry those into moving.  Students were not making all those connections all the way.  They were looking at each of these modules, these skill-sets as separate entities.  Eventually, somewhere farther down the line than we would like, the light bulb would go off, the epiphany would happen, and the pieces would come together. So, now we’re trying to make it as clear and simple and easy as possible for body and mind to come to understand how the standing translates into the walking and the walking translates into the circling.

JJ:  Are there other reasons beyond that for changing it?

RC: The main reason is clarity like I said, but it also became apparent as we started working with the material that it became easier for it to be taught.  We realized we could give the study groups and the study group leaders more efficient, effective tools to work with. For example, take the module of shifting.  Breaking it down in the systematic way that we have, it has become a more effective tool.  We start with the vertical shifting to show how the legs drive the spine.  Then we do a sideways shift – left-weighted to right-weighted – to demonstrate how one leg receives and the other leg initiates the drive.  Then we add the torso tying it in to the legs, making it one whole-body action.  Then we add the hands — which we also changed from the Heaven Palm to the Embrace the Pearl posture.
It makes it easy then to present the material so the student can follow along and understand exactly how each new piece fits into the previous one.  It also makes it easier for the study group leader to look at a students and identify where they are having problems.  Is the torso not moving with the legs?  Are the arms moving independently, or are they moving as a unit with the torso?  It’s easier to see where there are problems and go back to the exercise needed to fix the problems, to give the students homework or a little time in class to work on the problem.  It’s a more standard, step-by-step toolbox of materials and lessons that make it easier for the study groups rather than having every study group re-invent the wheel.

JJ: What was your inspiration as you went about redesigning the curriculum?

RC:  The process was really organic…

JJ: There wasn’t a moment of sudden enlightenment?

RC: Right…the moment it all came together was with the Rolling the Pearl posture.  Originally the goal was just to layout the curriculum as it was and standardize it so that a manual and DVD could be put together as a reference.  In order to do that we needed to have a standard methodology on paper.

JJ: So was the project originally going to be with Heaven Palm?

RC: Yes.  The project went through various incarnations over the course of years of breakfast meetings and talking about the possibilities.  And Heaven Palm was the way that we were heading.
Initially, when I first thought that changes needed to be made, I wanted to pull Heaven Palm and come up with a core curriculum into which all the palms could be plugged in.  That was our first change.  And simultaneously, I had been struggling with the place of Thunder Palm and Mountain Palm in our standing practice.  Most students didn’t know what these palms were – we were just calling them that.  Students in our other arts, in Taiji and Xingyi were doing the same standing exercises as Thunder and Mountain palm, and these meant nothing in their systems.  So one of the first changes was to look at the standing practice and deal with it in terms of imagery that could be accessible to beginning students right away.

Embrace the Pearl and the Move the Mountain were images that someone could feel right off without having to worry about the meaning of Thunder or Mountain Palm.  And then my concept for teaching all the rest of the material was to go to some sort of neutral palm.  I wanted to get away from the added complication of the nature of the individual palms – am I being Heaven, Earth, or whatever – before students could actually do the basic movements.  Since I was identifying standing with moving, I made the connection that I could just use those two postures from standing in the process of teaching shifting, walking, and circling; it would be simpler for the student to make the connection,  “Here I am, holding the posture that I used in standing, and I’m walking, so I understand the feelings that I’m supposed to have.” Then it was Shifu Painter who came down one day and said, “I got it! You combine the two postures: here’s your Push the Mountain and here’s your Embrace the Pearl.  Together they’re Rolling the Pearl.”  He wanted to make sure that students could experience the transition from one posture to another, from yin palm to yang palm, up movement to down movement, and Cross the Great River.

JJ: How is the new curriculum going to affect experienced Jiulong students?

RC: My concept has always been that if the student already understands the principles in the curriculum, there’s no reason for them to go back and learn the New Basics.  But if there are areas of confusion, gaps in understanding, then going back to the basic curriculum will help them identify those problems and fill those gaps.  Study group leaders who know the basics and are working with experienced students will be able to diagnose problems – is the torso coordinating with the legs? Are the arms moving independently?  You can still give these basic exercises as homework to advanced students.  Tell them, “Go home and shift for a week.  When you come back, we’ll see how you’re doing.” The quicker that they can make breakthroughs in these areas that are holding them back, the faster they’ll be able to move on to more advanced material, and the more fun they’ll have.  It’s frustrating trying to figure out, “why isn’t this working?  I can see other people doing it but I can’t.”  You may know Heaven Palm, but if you can’t deliver Heaven Palm with full-body power then you’re not doing Heaven Palm, you’re just moving and waving your hands in the air. As to instructors and whether you need to give advanced students the Rolling the Pearl exercise, that’s a judgment call as far as I’m concerned.  I don’t think it will hurt.  I think it’s easier, but certainly taiji Heaven Palm posture is just as good for shifting left and right as Rolling the Pearl.  You just shift the hands over in the other direction and you’ve got it.

JJ: I think it’s interesting to explore what you can do with taiji Heaven versus Rolling the Pearl and how they’re different.  You can push better in some directions than others with each posture…

RC: …Which is exactly my reason for not trying to spend lots of time trying to teach each palm as if it can do everything and just focusing on what each palm is best at.  Then, when you know them all, you can have intelligent discussions about those types of things – why moving one way with one palm works better than another.  If I need to project my opponent, Heaven Palm works great.  If I need to shock them, Heaven’s not so good but Thunder’s great.  In close proximity, infighting, Heaven doesn’t work well, but Fire’s great.  I think that for an advanced student that’s what’s interesting.

JJ: Are there more changes on the horizon?

RC: In Daoqiquan in general and in Jiulong in particular, our goal, Shifu Painter’s goal, has always been to present the material in the clearest possible way.  So there are always changes.  The underlying principles don’t change, and haven’t since Master Li conveyed them to Shifu Painter.  They’re still their in those reams of notebooks in his office.  What has changed is the methodology for presenting the material, presenting lessons in ways that those principles can be easily grasped.  That’s something that is not part of traditional martial arts training.  The traditional way is to learn a form and then explore that form and pull the principles out of it.  In essence, every student is re-inventing the wheel, discovering things that generations of martial artists had to learn on their own.  In part it’s because many teachers don’t know how to teach the material, they just figured it out for themselves and expect their student to do the same.  In the majority of martial arts you’re not learning principles, you’re learning form. We’re always concerned with how we teach the material.  Those three questions Shifu Painter always asks, “What’s it supposed to do?  How does it do it?  How do I practice it?” apply just as much to teaching, “How do I teach someone to do it?”  We make changes because we’re finding better answers to those questions.

We’re also adding new things that developed because of questions we never knew were there.  For example, the Dragon’s Gate stepping pattern and the Night Swallow step – these are things we took for granted.  We always thought people just did it.  But then we started to see that students were not doing this thing that we were taking for granted.  We had to break that habit of walking on the circle like a hamster on a train track and not getting off the circle for any reason.  They just didn’t realize that it’s allowable.  So we went back to that Dragon’s Gate pattern – it’s a traditional pattern, we didn’t make it up – to let the student know earlier on that the one circle is very basic; it’s kindergarten.  Now you’re going to first grade through this pattern, and there are other patterns later on that continually add circles eventually leading up to the Nine Palace pattern.  The circle is wherever you are.  I like that model better myself.  The circle is wherever I am, around me.  I just carry it with me. So our goal is always to refine what we’re doing, to make it more efficient and effective, to give the instructors better tools so that they become better teachers and better students. We want anybody who is involved in the Art, who makes the commitment to learn it, to have a better than average chance of succeeding it.

There will be changes to the basic curriculum down the pike, but they’re probably minor.  We’re very confident with the way it has come together, that this is a workable project, the best, most efficient teaching model in the thirty years that Shifu’s been teaching.
Now the next step will be not to linger on improving the basics but to move throughout the Art with that same goal: to developing a better, more efficient way to get students where they need to be – to use this stuff when they need it and when they want it in the most efficient way possible.
For new students, what is the most important thing to focus on, in order to make the most of the new curriculum?

If there is anyone particular concept that you must maintain, that is to be patient and focus on the lesson at hand and recognize that there is no advantage to getting to the more advanced material until you fully comprehend the skill you’re working on now.  Your progress will be very fast if you focus on what you’re doing now and get it down.  It goes very slowly if you’re always putting your thoughts into that “interesting stuff” that’s ahead and try to speed through what you’re currently doing.

That’s a general comment.  More specifically, you must always be sure to incorporate the skills that you are continually developing throughout your study in standing into whatever you’re doing, primarily the concept of whole-body, un-differentiated, non-localized feeling.  When you begin standing and exploring those things, they may be kind of nebulous concepts to you and you’ll move on to shifting or whatever, but you have to continually look to your standing and incorporate what you learn there into everything else.  That’s a key element.  When you can do it in standing, take it into shifting.  When you can do it shifting, take into walking.  That’s one of the things that in the past we didn’t have a good way to express.  We’re focusing on it now.  All the movements are merely physical shells if you don’t have that undifferentiated, whole-body feeling attached to them. So, when I wedge through you with my arm, if I have any feeling that it’s my arm pushing through you, I’m not doing it correctly.  I should feel like my whole body’s moving through you.  If I do it correctly, it’s effortless.  If I feel stress in my deltoids or my back, I’m not doing it correctly. If I’ve engaged all the muscles of my body, if my shifting has provided power and my waist turn has transmitted up through my torso, then where my arm makes contact is irrelevant.  I am just easily moving my 200 lb. mass through you, and that’s a key element for the basic program.

JJ: For experienced students, what should they take away from the new curriculum?

RC: Same thing.  Odds are they haven’t gotten it.  If we ask, “what is the goal of the basic curriculum?” it is to move balanced, with whole-body energy and interact with another human being.  That sounds very simple, but a lot of people don’t give enough weight to that whole-body concept.  We’re moving closer to that realm of spirit, of attitude, and it’s very hard to describe: the way Lao-t’zu says the Dao that can be explained is not the eternal Dao, and then he goes on to talk about it for 81 chapters.  We say the words, but it’s the experiential nature of what that thing is, the feeling that the student discovers either suddenly, in an epiphany, or gradually over time through the building of imagery that turns into feeling.  Whatever it is that gets them to that point where they really understand whole-body, that’s the key.  Until they have that, none of the other stuff, the Palms, none of that is relevant; it’s just waving your arms in the air.  The basics on its own could be a martial art in its own right, just like Heaven Palm or Water Palm or whatever.  You could come out of basics class ready to defend yourself, IF you have that whole-body skill.

Mind Theatre – Imagine the Gompa

Here’s a little gem that will stimulate your imagination. If you have been to the Gompa, this six minute audio will take you back to those moments of seeing it for the first time. If you have not been there, feel free to create a mental picture of it and imagine what it might be like to enter its world.   Enjoy!

Left click to play. Right click to download.

Imagine the Gompa