THE DO OF PHYSICS by Walter Gleason This is the fourth of a series of articles on the use of physics in Taekwon-Do. This issue of The Do of Physics examines in depth the default foot formation commonly known as the "sidekick" foot formation. In this examination we will rely on anatomy, physiology, and biomechanics to describe and detail the structure and working of the foot. In order to effectively use the language of these disciplines, the appropriate terms and their definitions are listed below: 3rd Class Lever Third class levers produce speed and range of motion. This is the most common lever type used by the muscular system. A great deal of force is required to move a small resistance. Ligament - Fibrous tissue binding bones together or lashing tendons or muscles in place Muscle - Contractile organ capable of producing movement Origin - Relatively fixed point of a muscle attachment Plantar - Refers to sole of foot Plantar flexion - Movement of the sole downward toward the floor Proximal - Nearer to root of limb Tendon - Fibrous tissue securing a muscle to its attachment Toe extension - Movement of the toes upward Toe Ffexion - Movement of the toes toward the floor TERMS Adduction - Movement toward axis of the trunk, as in lowering the arms to the side Distal - Further from root of limb Dorsal - Refers to back; also back of hand and top of foot Dorsal flexion - Movement of the top of the foot toward the anterior tibia bone Eversion - Turning the sole outward Extension - Straightening; moving the bones apart, as when the hand moves away from the shoulder Fascia - Fibrous envelopment of muscular structures Flexion - Bending; decreasing the angle between the bones forming the joint as in the elbow joint when drawing the hand toward the shoulder Inversion - Turning the sole inward. Lever system - A mechanism for doing work, consisting of a body with an axis of rotation and eccentrically applied forces. Lever systems and leverlike arrangements: ANATOMY AND PHYSIOLOGY Bones 1st Class Lever This lever is useful for balance movements when the fulcrum or balance point is midway between the applied muscular force and the resistance. It produces speed and range of motion when the fulcrum is close to the force, and when the fulcrum is close to the resistance, it provides greater force. There are 204 bones in the human body. Each hand and wrist and each foot and ankle has 26. This comprises over half the bones in our bodies, and indicates how flexible, complex, and important these extremities are. • The ankle consists of 7 bones: medial, lateral, and intermediate cuneiforms; navicular; cuboid; talus; and calcaneous. These bones have a limited gliding movement, and serve to absorb shock. • The toes and foot consist of the 1st through the 5th metatarsals; 5 proximal phalanges; 4 middle phalanges; and 5 distal phalanges. The 26 bones of the feet are shaped in the form of arches (longitudinal and tarnsverse) and are connected to the tibia and fibula bones in the lower leg. The transfer of body weight is from the tibia to the talus and calcaneus. 2nd Class Lever The positioning of the resistance between the fulcrum and the applied muscular force permits a smaller muscular force to move a greater resistance. In the example above, the articulation of the tibia with the foot is the resistance, and the pull of the plantar flexors on the calcaneous at the back of the heel is the force causing plantar flexion of the foot. The fulcrum is the point where the foot contacts the ground. 6 Articulations Functionally, there are three major categories for the unions of bones: 1. Immovable joints – Unions which are locked and allow no movement. Sutures and cartilage are two types of these joints. 2. Slightly movable joints – These are spongy cushions between bones and are referred to as fibro-cartilage joints. The discs separating and cushioning the vertebrae are an example of this category. 3. Freely moveable joints – These are synovial or lubricated articulations. The classifications are listed below: • Plane – Bones glide face to face, limited by their retaining ligaments. Examples are the bones of the wrist and ankle. • Hinge – Movement about a transverse axis only. The elbow and knee are examples of hinge joints. • Saddle – Like the hinge joint but with an additional axis of motion perpendicular to the transverse axis. • Condyloid – Like the saddle joint but with an additional range of motion with a circular movement describing a cone. • Pivot – A cyliondrical form moving within a complete or partial ring, or such a ring moving about the cylinder. Only a vertical axis is present, as in the hinge of a gate. The joints of the forearm bones are examples. • Ball-and-socket – This joint is a spherical head set within a cuplike cavity. Examples are the hip and shoulder joints. • Ellipsoid – This is a modified ball-and-socket. The mating surfaces are ellipsoidal rather than spherical. Vertical rotation is impossible. The wrist to forearm (radio-carpal) joint is of this type. • and distal phalanges of the four outer toes and is a third class lever in dorsal flexion. Extensor hallucis longus - responsible for dorsal flexion and toe extension. It is attached to the top of the distal phalanx of the big toe and is a third class lever. DESCRIPTION & PURPOSE Over the millennia our feet have evolved and adapted for use in upright locomotion over varied terrain, climbing, jumping, and striking. These uses may be categorized as propulsive and supportive functions, and are the adaptations which give us the necessary flexibility, shock absorption, muscle tonus, and biomechanical structure to form an effective striking tool. When we practice kicking techniques in the air in class, we adopt the "sidekick" foot formation for turning kicks, rising kicks, 45 ° kicks, reverse turning kicks, etc. We do this for two reasons: to prevent injuries (a loose, floppy foot can cause hyperextension and trauma to muscles, joints, and ligaments) and to practice proper foot formation and kicking technique. It is difficult to determine whether the illustration is of a sidekick, reverse sidekick, turning kick, or reverse turning kick. This is because the foot formation and alignment of shoulder, hip, and heel is identical at the completion of each properly performed technique. The sidekick foot formation is formed by four distinct actions: Ligaments The ligaments of the foot have the function of maintaining the position of the longitudinal and transverse arches. The longitudinal arch can be described as short and long arches. The long arch runs along the inner side of the foot and is connected to the calcaneus, talus, navicular, cuneiforms, and the three inner metatarsals. The short arch is on the outer portion of the foot and extends from the calcaneus to the cuboid and the fourth and fifth metatarsals. The transverse arch spans the width of the foot connecting the metatarsals. Muscles The muscles controlling the movement of the foot are located in either the lower leg or in the foot itself. The muscles in the foot are referred to as intrinsic muscles. These many small muscles serve to support the arch of the foot and perform small balance movements. The muscles of greater interest to us are the muscles of the lower leg which control the movements necessary for sidekick foot formation. Those muscles are: • Tibialis anterior muscle - responsible for dorsal flexion, adduction, and inversion. It is attached to the medial cuneiform and the first metatarsal bones and acts as a third class lever. • Extensor digitorum - responsible for dorsal flexion, eversion, and toe extension. It is attached the tops of middle 7 1. Pulling the toes upward and back (toe extension). 2. Pulling back on the top of the striking foot (dorsal flexion). 3. Twisting the foot so the toes turned toward the inner ankle (adduction). 4. the alignment of the kick is incorrect and the body is jackknifed with the butt sticking out. The side view below illustrates rigid orientation (locked joints) of the long bones in the direction of the reaction force. Note that at impact the body is leaning into the kick. The supporting leg is angled toward the target; this puts the body's center of mass into the kick and resists the reaction force. Of course, after the kick the foot is immediately retratcted, returning the center of mass to a stable position. Turning the sole inward so that outer edge of the sole is toward the target. The stiking surface is the heelward portion of the outer edge of the sole. POWER AND THE SIDEKICK FOOT FORMATION Taekwon-Do kicks are famous for being able to deliver maximum power. In order to deliver a kick using the sidekick foot formation with maximum power, the following elements must be present: 1. 2. 3. 4. The body and the foot must be in proper alignment with the target. • Shoulder, hip, and heel are in line. • The reaction force from the impact needs to be channeled down the length of the bones through rigid joints down into the floor through the supporting foot. • At impact, all the body's weight is focused onto the surface of the striking tool meeting the target at impact. The foot must have the proper orientation toward the target. This is illustrated in the description of foot formation in the preceding section. • The proper portion of the foot must deliver the blow. This is the outer edge of the heel. • The force of the kick must be focused on the smallest possible area on the tool. The foot must go directly to the target (not a glancing blow). The foot must be rigid when the target is struck. ELEMENT 2 Inherent in all striking tools is a degree of shock absorption or cushioning. In the foot there is extensive aponeurosis (connective tissue for the bundles of ligamentous tissue) and fatty material. They cushion and protect the foot during movement. The layers of callus built up on the sole of the foot also cushion and protect the foot from the reaction forces of the foot striking the ground. None of these tissues are the focus of our discussion of shock absorption. Figures 1a and 1b above illustrate the result of striking with the ball of the foot in a sidekick. Figyre 2 illustrates a heel strike. The large calf muscles, ligaments, and tendons at the back of the calf act as shock absorbers when we strike with the ball. The energy lost to the shocks is energy subtracted from the impact. When the reaction force is channeled into the ankle and down the long bones of the legs, this is analagous to striking by jabbing with the end of a broom. In the following discusson we will focus on these elements and use the side kick as an example of a kick using this foot formation. ELEMENT 1 When striking an object (assumed stationary) with the foot we experience a reaction force at the point of impact equal and By orienting the edge of the heel toward the target we accomplish two things: we reduce the surface area of the striking tool and we direct the reaction force down a rigid path. Also, the edge of the heel presents a smaller surface area than the flat of the foot. Applying the same force over a smaller area results in a greater concentration of force focused on the target. opposite to the striking force. The above top view of a sidekicker and his skeleton illustrates the way the heel (the striking surface), hip, and shoulder line up. The resultant reaction force of the kick (shown by the black arrows) is directed down the length of the long bones of the upper (femur) and lower leg (tibia and fibula) into the hip and down into the ground through the long bones of the supporting leg. Note that the kicker is looking at the target over his shoulder to maintain his line. This provides a view of the back of the knee. If you cannot see the back of the knee, chances are 8 ELEMENT 3 Force is a vector. It has both magnitude and direction. If the sidekick foot swipes the target with a glancing blow, some of the energy of the blow is lost. The vector of force has two components. One is perpendicular to the target, and one is tangential to the target. The greater the tangential component (the more the kick swipes or glances), the lesser the perpendicular component. Obviously a kick with a tangential component of zero would have a perpendicular component equal to a kick driven directly into the target. ELEMENT 4 It is imperative that the sidekick foot formation be held tightly before and during impact. The foot is held taut and rigid to prevent injury and reduce the loss of energy due to shock absorption. It is important to note, however, that the body itself is relaxed prior to impact. Otherwise, opposing muscles in the leg would reduce the speed of delivery. OBSERVATIONS A good sidekick is like a good hammer blow driving a nail into a board. When the hammer meets the nail squarely on the head, the nail pierces and penetrates the board. When the nail is struck with a glancing blow, the nail is bent and penetration is minimal. If one tried to drive the broad surface of the nail head into the board, the board would only be dimpled. Although at first glance it may appear that there is an overabundance of detail in this article (certainly more than necessary for the simple act of forming a simple sidekick foot formation), the author is convinced that the greater the depth of understanding one has on a topic, the greater the ease of application. The wealth of detail presented here should serve as reference material and a basis for thought and discussion. NEXT ISSUE In the next issue we will continue investigating the formation of Taekwon-Do tools by focusing on proper sudo or knife-hand formation. 9
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