Basic Biomechanics Kinematics is not Kinetics • • • • • Body Planes & Axes Osteokinematics & Degrees of Freedom Closed & Open Kinematic Chains Arthrokinematics & Convex/Concave Rules Examination thru testing AROM, PROM, flexibility, 1 Kinetics = Analysis of forces Our limited focus on Kinetics (Biomechanics) – Concepts of COG, LOG, BOS & how they relate to stability. – Parallel force systems (levers) in static situations, typically at 90 degree joint angles. – Concepts of “Moment Arm” and an “internal” and “external” moment arms as well as internal and external torques. Types of Motion • Translatory • Rotary / Angular • Curvilinear 2 Forces • A force is a physical quantity that can accelerate and/or deform a body. – Tensile, Compressive, and Shear forces • Gravity – Center of gravity (COG) – Line of Gravity (LOG) is the vertical vector force • Muscle – Produces vector force on the body by contraction, exerted at its point of attachment • Friction – created by the sliding of one surface against another Forces • Force implies both magnitude and direction, and is a vector quantity. • Characteristics of a vector – Base of arrow represents point of application of force – Orientation & Tip of arrow represents line of application & direction of force – Length of arrow represents magnitude of force 3 ID vector components; COG; LOG Torque • “The ability of a force to cause rotation of the lever around an axis” • Is dependent upon magnitude of force AND distance from the axis that the force is applied • Torque = f X lever arm distance – Common units for torque: N·m or ft·lbs – lever arm distance = shortest distance between the line of applied force and the axis of lever; aka: length of a line drawn perpendicular to line of force to the axis. • “Moment” • “moment arm” 4 Example of External Torque (gravity) 80N 0.5m 80N 0.25m Levers • A rigid apparatus that rotates (eg. angular motion) around an axis; the rotation is caused by Torque • Components of a Lever – – – – – Axis (A) Effort Force (EF) Resistance Force “Weight or Load” (R) Effort Arm (EA) aka – internal moment arm Resistance Arm (RA) aka – external moment arm 5 Identify the parts of the Lever • Static Equilibrium Equation (“Law of Levers”) EF x EA = R x RA aka: Internal Torque = External Torque • Mechanical Advantage Equation MA = EA / RA (divide) As MA increases, the amount of angular motion will decrease and vice versa. 6 1st Class Lever Be Able to Calculate Equilibrium & MA R EA RA EF 7 2nd Class Lever 2nd Class Lever EF x EA = R x RA Solve for any of these 4 variable OR estimate their relative value EF EA MA = EA / RA Solve for any of these 3 variable OR estimate the relative value of MA RA R 8 3rd Class Lever 3rd Class Lever EF x EA = R x RA Solve for any of these 4 variable OR estimate their relative value EF MA = EA / RA Solve for any of these 3 variable OR estimate the relative value of MA EA R RA 9 What type of lever? MA? Relative value of R compared to EF? R EF RA EA The COG of a region of the body can move. What is happening to the external moment arm? Impact on external torque? 10 What happens to the external moment arm throughout the ROM? Where is it greatest? Impact on external torque? What happens to the internal moment arm throughout the ROM? Where is it greatest? Impact on internal torque? EF EF EF EF EF 11 What is illustrated here? Understand of the impact of both biomechanical considerations AND physiologic considerations on muscle function Can you explain the combined impact of both biomechanical considerations AND physiologic considerations on muscle function on internal torque production? 12 Type of lever? Label it 13 Why is “R” at that location? Why is “EF” at that location? What type of lever is this? What Type of Lever? R= 150 lbs RA= 0.25 ft EA= 0.5 ft EF= ? lbs Calculate the torque caused by gravity (exerted at EF EA the ball of the foot, in foot-pounds) Do the equilibrium equation (solve for EF) RA Calculate Mechanical Advantage. MA= R 14 What Type of Lever? R= 120 N RA= ? m EA= 0.05 m EF= 960 N Calculate the torque caused by biceps (exerted at the elbow, in newton-meters) EF Equilibrium equation; solve for RA Calculate Mechanical Advantage. MA= R EA RA 15
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