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HEALTH SCIENCES 365 Chapter 3 – Biomechanical Factors & Concepts Biomechanics: the study of mechanics as it relates to functional and anatomical analysis of biological systems. Mechanics: the study of physical actions of forces. Divided into: Statics: the study of systems that are in a constant state of motion, whether at rest with no motion or moving at a constant velocity without acceleration. (Forces acting on the body being in balance) Dynamics: the study of systems in motion with acceleration. (Unequal forces acting on the body causing it to be unbalanced) Machines of the Body: Used to increase or multiply the applied force (muscular contraction) in performing a task (to cause, control, prevent push, pull, hold) to provide a mechanical advantage. Mechanical advantage enables us to apply a relatively small force to move a much greater resistance Mechanical advantage determined by dividing load by effort: Load Effort Machines function to: 1. Balance multiple forces 2. Enhance force 3. Enhance range of motion and speed of movement 4. Alter the resulting direction of an applied force Musculoskeletal System Machines: Levers, Wheel/Axles, Pulleys Levers Humans move through a system of levers – that cannot be changed but used more efficiently. Lever: A rigid bar that turns around an axis of rotation, or fulcrum. Three Points of a Lever: 1. Axis (A): the point of rotation (joint) about which the lever moves 2. Force (F): the point of force application (usually muscle insertion) 3. Resistance (R): the point of resistance application Center of gravity of lever, or Location of an external resistance NOTE: The arrangement of these three points determines the type of lever & which kind of motion it is best suited. First Class Lever: Axis (A) is between Force (F) and Resistance (R) If axis is midway between force and resistance = balanced movement (seesaw) If axis is close to the force = speed and range of motion (scissors) If axis is close to resistance = force (crowbar) Head on Neck Axis: _____________________________ Force: ____________________________ Resistance: ________________________ Triceps Press Axis: _____________________________ Force: ____________________________ Resistance: ________________________ Second Class Lever: Resistance (R) is between Axis (A) and Force (F) Large resistance can be moved with relatively small force (wheelbarrow), (nutcracker) Designed to produce force movements Heel Raises Axis: _____________________________ Force: ____________________________ Resistance: ________________________ Push ups Axis: _____________________________ Force: ____________________________ Resistance: ________________________ Third Class Lever: Force (F) is between Axis (A) and Resistance (R) Requires large force to move a relatively small resistance (catapult, paddle rowing, Designed for speed and range of motion Most levers in human body are this type Biceps Curl Axis: _____________________________ Force: ____________________________ Resistance: ________________________ Knee Flexion Axis: _____________________________ Force: ____________________________ Resistance: ________________________ Mechanical advantage of levers may be determined using the following equations: Mechanical Advantage = resistance Mechanical Advantage = length of force arm force Length of resistance arm Torque & Length of Lever Arms Torque (moment of force) – the turning effect of an eccentric force Eccentric force – force applied in a direction not in line with the center or rotation of an object with a fixed axis For rotation to occur , an eccentric force must be applied In the human body, the contracting muscle applies an eccentric force (not to be confused with an eccentric contraction) to the bone on which it attaches and causes the bone to rotate about an axis at the joint. The amount of torque can be determined by multiplying the amount of force (force magnitude) by force arm Force arm – the distance between the location of force and the axis. Distance from joint to where the muscle attaches Also known as moment arm or torque arm The greater the distance of force arm, the more torque produced by the force Resistance Arm – the distance between the axis and the point of resistance application Distance from joint to center of gravity of distal segment Inverse relationship between length of the two lever arms The longer the force arm, the less force required to move the lever if the resistance and resistance arm remain constant Shortening the resistance arm allows a greater resistance to be moved if force and force arm remain constant Proportional relationship between force components and resistance components If either of the resistance components increase, there must be an increase in one or both of force components Greater resistance or resistance arm requires greater force or longer force arm Greater force or force arm allows a greater amount of resistance to be moved or a longer resistance arm to be used Even slight variations in the location of the force and resistance are important in determining the mechanical advantage and effective force of the muscle Lever Equation: For use in force calculations. Evaluation of torque with modifications in force arms, resistance arms, and resistance. F x (force) FA (force arm) = R x (resistance) RA (resistance arm) The Human Leverage System Built for speed and range of motion at the expense of force Short force arms and long resistance arms require great muscular strength to produce movement The longer the lever (or summation of several levers), the more effective it is in imparting velocity (produces more linear force) - A longer lever (Z’) travels faster than a shorter lever (S’) in traveling the same number of degrees. Torque, Length of Lever Arms, Angle of Resistance & Angle of Muscle Pull EMC: Effective Muscular Component ERC: Effective Resistive Component Equations: EMC = Muscular Force (MF) x Muscular Force Arm (MFA) x Angle of Muscle Pull (AMP) ERC = Resistive Force (RF) x Resistive Force Arm (RFA) x Angle of Resistance (AR) NOTE: When working these problems determine: a) type of muscle contraction, and 2) relative speed of movement Wheels & Axles Used primarily to enhance speed and range of motion in the musculoskeletal system Center of the wheel and the axle both correspond to the fulcrum Both the radius of the wheel and the radius of the axle correspond to the force arms If a wheel radius is 3 times greater than the radius of the axle, due to the longer force arm, the wheel has a mechanical advantage over the axle a. the outside of the wheel will turn at a speed 3 times that of the axle b. the distance that the outside of the wheel turns will be 3 times that of the outside of the axle c. Mechanical advantage calculated by: radius of the wheel radius of the axle Anatomical Example 1. Joint: Shoulder (glenohumeral) 2. Axle: ___________________________________________ 3. Outside of Wheel: _________________________________ 4. Force: __________________________________________ Pulleys 1. Single pulleys have a fixed axle and function to change the effective direction of force application and have a mechanical advantage of 1. 2. Every additional rope connecting to moveable pulleys increases the mechanical advantage by 1. Anatomical Example 1. Joint: Ankle and subtalar 2. Pulley: _________________________________________ 3. Force: __________________________________________ 4. Force Application: ________________________________ 5. Movement: ______________________________________