Chapter 3: Kinetic Concepts for Analyzing Human Motion Basic Biomechanics, 4th edition Susan J. Hall Presentation Created by TK Koesterer, Ph.D., ATC Humboldt State University Objectives • Define and identify common units of measurement for mass, force, weight, pressure, volume, density, specific weight, torque, and impulse • Identify and describe the different types of mechanical loads that act on the human body • Identify and describe the uses of available instrumentation for measuring kinetic quantities • Distinguish between vector and scalar quantities • Solve quantitative problem involving vector quantities using both graphic and trigonometric procedures Basic Concepts Related to Kinetics • Inertia • Mass • Force – Free body diagram • Center of Gravity • Weight • • • • • • Pressure Volume Density Specific weight Torque Impulse Inertia • Tendency for a body to resist a change in its state of motion Mass • Quantity of matter contained in an object Force • Push or pull • the product of mass and acceleration Free body diagram • a sketch that shows a defined system in isolation with all of the force vectors acting on the system 3-2 Center of Gravity • The point around which a body’s weight is equally balanced, no matter how the body is positioned Weight • Attractive force that the earth exerts on a body Sample Problem 1 If a scale shows that an individual has a mass of 68 kg, what is that individual’s weight? Known: m = 68 kg Solution Answer Wanted: weight wt = 667 N Formulas: wt = mag wt = 150 lbs 1 kg = 2.2 lbs Sample Problem 2 What is the mass of an object weighting 1200 N? Known: wt = 1200 N Solution Answer Wanted: mass m = 122.32 kg Formulas: wt = mag Pressure • Force per unit of area over which the force acts Sample Problem 3 Is it better to be stepped on by a women wearing a spike or by a court shoe? Known: wt = 556 N As = 4 cm2 Ac = 175 cm2 Solution Wanted: Answer Pressure exerted by the spike heel p = 139N/cm2 Pressure exerted by the court shoe p = 3.8 N/Cm2 Formulas: p = F/A 43.75 times more pressure Volume • Space occupied by a body Density • Mass per units of volume Specific Weight • Weight per unit of volume Torque • Rotary effect of a force Impulse • Product of force and the time over which the force acts Common Units for Kinetic Quantities Quantity Symbol Mass m Force F Pressure P Volume (solids) V (liquids) Density ρ Specific weight γ Torque T Impulse Metric Unit English Unit kg slug N lb Pa psi m3 ft3 liter gallon kg/m3 N/m3 lb/ft3 N-m ft-lb N•s lb • s Mechanical Loads on the Human Body • Compression – pressing or squeezing force directed axially through a body • Tension – pulling or stretching force directed axially through a body • Shear – force directed parallel to a surface 3-4 3-5 Mechanical Loads on the Human Body • Stress – distribution of force within a body, quantified as force divided by the area over which the force acts • Torsion – load producing twisting of a body around its longitudinal axis • Bending – asymmetric loading that produces tension on one side of a body’s longitudinal axis and compression on the other side • Combined loading – simultaneous action of more than one of the pure forms of loading 3-6 3-7 Sample Problem 4 • How much compressive stress is present on the L1, L2 vertebral disk of a 625 N woman, given that approximately 45% of body weight is supported by the disk Sample Problem 4 a) When she stands in anatomical positions? Given: F = (625 N) (0.45) A = 20 cm2 Formula: Stress = F/A Stress = (625 N) (0.45) / 20 cm2 Stress = 14 N / cm2 Sample Problem 4 b) When she stands erect holding a 222 N suitcase? Given: F = (625 N) (0.45) + 222 N A = 20 cm2 Formula: Stress = F/A Stress = [(625 N) (0.45) + 222 N] / 20 cm2 Stress = 25.2 N / cm2 The Effects of Loading • Deformation When an external force is applied to the human body, several factors influence whether an injury occurs – Magnitude and direction of force – Area over which force is distributed – Load-deformation curve – Yield point (elastic limit) – Failure Repetitive vs. Acute Loads • Repetitive loading – repeated application of subacute load that is usually of relatively low magnitude • Acute loading – application of a single force of sufficient magnitude to cause injury • Macrotrauma – a single force large enough to cause injury acting on biological tissue • Microtrauma – when repeated or chronic loading over a period of time produces an injury 3-10 Tools for Measuring Kinetic Quantities • Electromyography (EMG) – To study neuromuscular function • Dynamography – Primarily employed in gait research – Starts, takeoffs, landings, baseball & golf swings, and balance Vector Algebra • Vector – any physical quantity that posses both magnitude and direction • Kinetic vector quantities – force weight, pressure, specific weight & torque • Kinematic vector quantities – Displacement, velocity & acceleration • Scalar quantities – magnitude only – Mass, volume, length & speed Vector Composition • Resultant vector • “Tip-to-tail” vector composition Resultant vector Vector #2 Vector #1 Vector Resolution Example: A ball is thrown into the air Vertical Horizontal Graphic Solution of Vector Problems • Graphic vector manipulation may yield approximate result 1 cm = 10 N 30 N = 3 cm 45 N = 4.5 cm Trigonometric Solution of Vector Problems • A more accurate procedure for quantitatively dealing with vector problems Summary • This chapter introduced basic concepts related to kinetics • Several types of mechanical loads act on the human body. • The distribution of force within a body structure is termed mechanical stress. • Vectors quantities have magnitude & direction • Vector problems may be solved by a graphic or a trigonometric approach. 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