Chapter 2 Biomechanics of Force Production Copyright © 2012 American College of Sports Medicine Introduction • Biomechanics – Science of applying principles of mechanics to biological systems – Applies to: • All motor skills performed in sports • All training modalities – Kinetics: deals with forces that cause motion – Kinematics: description of motion (displacement, position, velocity, acceleration) Copyright © 2012 American College of Sports Medicine Muscle Actions (Not Contractions!) • Concentric (CON): muscle shortening • Eccentric (ECC): muscle lengthening (40% stronger, DOMS—strength & hypertrophy) • Isometric (ISOM): no change in muscle length (joint stabilization) • Isokinetic: velocity-controlled CON & ECC muscle actions • Greatest force (in order): ECC—ISOM—CON Copyright © 2012 American College of Sports Medicine The Influence of Muscle Length • Skeletal muscle plays a vital role in force production—this is the Length-Tension Relationship. • Greatest tension is produced slightly past resting muscle length. Copyright © 2012 American College of Sports Medicine Active Muscle Length-Tension Relationship Copyright © 2012 American College of Sports Medicine Passive Muscle Length-Tension Relationship Copyright © 2012 American College of Sports Medicine Stretch-Shortening Cycle • An ECC muscle action that precedes a CON action results in a more forceful CON action. This phenomenon is known as the StretchShortening Cycle (SSC). This allows the athlete to develop large force and power outputs. Depth Jumps… • This consists of the Stretch Reflex (SR), allowing the muscle to store elastic energy within its series and parallel elastic components. The SR is initiated by a specific sensory receptor the Muscle Spindle which responds to both the magnitude and rate of muscle length change. The resulting affect is that the SSC can enhance performance by an average of 15-20%. • It is most prominent in Type II muscle fibers. • Critical to SSC performance is that the CON action follows quickly…as stored elastic energy can be lost as heat energy (which offers little to no effects). Stretching beforehand can reduce this and is not advised. Copyright © 2012 American College of Sports Medicine Copyright © 2012 American College of Sports Medicine Force-Velocity Relationship Copyright © 2012 American College of Sports Medicine Muscle Architecture • Nonpennate: fibers parallel to muscle’s line of pull – Longitudinal (strap): sartorius – Quadrate (quadrilateral): rhomboids – Fan-shaped (radiate, triangular): pectoralis major – Fusiform: biceps brachii – Designed for ROM and contraction velocity • Pennate: fibers oblique to line of pull – Unipennate: tibialis posterior – Bipennate: rectus femoris – Multipennate: deltoid – Designed for strength & power Copyright © 2012 American College of Sports Medicine Figure 2.11 Copyright © 2012 American College of Sports Medicine Muscle Architecture (cont’d) Copyright © 2012 American College of Sports Medicine Muscle Architecture (cont’d) • Muscle Fiber Arrangement – Angle of pennation • Angle between fibers & central tendon • Low (≤5°) • High (>30°) – Muscle fascicle length: It is thought that greater fascicle lengths favor high contraction velocity (greater running speed)— and may be a mechanism contributing to hypertrophy. Copyright © 2012 American College of Sports Medicine Muscle Fascicle Copyright © 2012 American College of Sports Medicine Torque and Leverage • Linear Motion • Angular Motion • Torque (aka ‘moment’) – Rotation caused by a force about a specific axis – Product of force & moment arm length • Lever – Used to overcome large resistance & enhance speed & ROM – Components: fulcrum (pivot point), resistance, & force – First-, second-, & third-class levers Copyright © 2012 American College of Sports Medicine Figure 4.2 Copyright © 2012 American College of Sports Medicine Key Term • Mechanical Advantage: The ratio of the moment arm through which an applied force acts to that through which a resistive force acts. A mechanical advantage greater than 1.0 allows the applied (muscle) force to be less than the resistive force to produce an equal amount of torque. A mechanical advantage of less than 1.0 is a disadvantage in the common sense of the term. Copyright © 2012 American College of Sports Medicine Torque Generation at Two Angles of Force Application Copyright © 2012 American College of Sports Medicine Three Classes of Levers Copyright © 2012 American College of Sports Medicine Copyright © 2012 American College of Sports Medicine Copyright © 2012 American College of Sports Medicine Copyright © 2012 American College of Sports Medicine • Based on lever systems, it appears that the human body was designed to produce motion at higher speeds at the expense of the large force application. In other words, people are made more for speed of movement than for strength. • Most single-joint movements in the human body operate via third-class levers. • Bones act as levers, joints act as fulcrums and skeletal muscles act as the force. Copyright © 2012 American College of Sports Medicine Tendon Insertion • Can favor speed (tendon close to axis) or force (tendon farther from axis). • This is a GENETIC factor which does NOT change with training. • Moment arms and bodily proportions. • Limb length—longer for pitching is advantageous (longer resistance arm—for higher velocity, stroke length but disadvantageous for strength in weightlifting). Copyright © 2012 American College of Sports Medicine Effort Arm Changes During Elbow Flexion Copyright © 2012 American College of Sports Medicine Ascending-Descending Strength (Torque) Curve Copyright © 2012 American College of Sports Medicine Ascending Strength (Force) Curve Copyright © 2012 American College of Sports Medicine Descending Strength (Force) Curve Copyright © 2012 American College of Sports Medicine Action/Reaction Forces and Friction • Action Force – Force applied to an object with the intent to accelerate, decelerate, stop, maintain, or change direction • Reaction Force – Equal & opposite force in response to action force (Newton’s 3rd law of motion) • Friction – Force parallel to action & reaction forces that acts to oppose relative motion of these two surfaces – Static friction-between 2 objects not moving relative to each other and Dynamic or sliding friction-between 2 surfaces moving relative to each other resulting in sliding. Copyright © 2012 American College of Sports Medicine • The first law says that an object at rest tends to stay at rest, and an object in motion tends to stay in motion, with the same direction and speed. Motion (or lack of motion) cannot change without an unbalanced force acting. • The second law says that the acceleration of an object produced by a net (total) applied force is directly related to the magnitude of the force, the same direction as the force, and inversely related to the mass of the object (inverse is a value that is one over another number... the inverse of 2 is 1/2). The second law shows that if you exert the same force on two objects of different mass, you will get different accelerations (changes in motion). The effect (acceleration) on the smaller mass will be greater (more noticeable). • The third law says that for every action (force) there is an equal and opposite reaction (force). Forces are found in pairs. Think about the time you sit in a chair. Your body exerts a force downward and that chair needs to exert an equal force upward or the chair will collapse. Copyright © 2012 American College of Sports Medicine Ground-Reaction Force Curves Copyright © 2012 American College of Sports Medicine • Friction is the force resisting the relative motion of solid surfaces, fluid layers, and material elements sliding against each other. There are several types of friction: Dry friction resists relative lateral motion of two solid surfaces • Static friction-between 2 objects not moving relative to each other where there is sufficient stability between the contact surfaces. (weightlifting) • Dynamic (sliding) friction acts between 2 surfaces moving relative to each other, resulting in sliding. (skating & skiing) Copyright © 2012 American College of Sports Medicine Stability • Ability of an object to resist changes in equilibrium • Principles of stability – Greater stability is seen when: • Center of gravity (COG) is lower • Line of gravity is aligned equidistantly within base support • Base support is wide • Objects with larger mass • Level of friction is greater – Stability decreases when external loading is applied to upper body Copyright © 2012 American College of Sports Medicine Mass and Inertia • Mass – The amount of matter an object takes up • Inertia – Resistance of an object to changing its motion • In Linear Motion: – Greater mass & greater inertia = greater stability • In Angular Motion: – Distribution of mass is critical – Moment of inertia: property of an object to resist changes in angular motion; a product of object’s mass & mass distribution Copyright © 2012 American College of Sports Medicine Moment of Inertia • Changing an object’s center of mass changes the moment of inertia. • Decreasing the moment of inertia--Choking up the bat in baseball increases bat velocity (but hurts power hitting). • Increasing the moment of inertia—performing a torso rotation with the arms straight rather than bent puts greater tension on the muscles—becomes more difficult to start and stop. Copyright © 2012 American College of Sports Medicine Momentum and Impulse • Linear impulse (F × T) = linear momentum (m × ∆v) – So, F × T = m × ∆v – Increasing force and/or time increases impulse – Increasing mass and/or velocity increases momentum • Angular impulse = torque × time • Angular momentum = joint angular velocity × moment of inertia – Maximizing angular momentum necessitates optimal combination of angular velocity & moment of inertia Copyright © 2012 American College of Sports Medicine Body Size • Larger the body size, the larger the force potential – Relative to muscle mass – Positive relationship between muscle mass & absolute force production • As body size increases, body mass increases to a greater extent than muscle strength. • A football player who increases mass and maintains or increases velocity can generate more linear momentum at the point of contact with the opponent. Copyright © 2012 American College of Sports Medicine Other Kinetic Factors in S&C • Intra-Abdominal Pressure (IAP) – Pressure developed within abdominal cavity during contraction – Pushes against spine & helps keep torso upright – Prevents lower-back injuries – Increased by: • Abdominal contraction & subsequent trunk muscle training • Breath holding (Valsalva maneuver) • Lifting belts • Wraps • Bench press shirts, Lifting suits Copyright © 2012 American College of Sports Medicine Intra-Abdominal Pressure Copyright © 2012 American College of Sports Medicine Other Kinetic Factors in S&C (cont’d) • Lifting Accessories – Lifting belts – Wraps – Bench press shirts – Lifting suits Copyright © 2012 American College of Sports Medicine