Contribution of Hip Joint Kinetics to Rotate the Pelvis During Baseball

Total Page:16

File Type:pdf, Size:1020Kb

Contribution of Hip Joint Kinetics to Rotate the Pelvis During Baseball Int. J. Sport Health Sci. Paper : Biomechanics Contribution of Hip Joint Kinetics to Rotate the Pelvis during Baseball Pitching Arata Kimura*, Shinsuke Yoshioka and Senshi Fukashiro Department of Life Sciences, The University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo 153-8902, Japan Corresponding author [email protected] [Received June 9, 2019; Accepted January 24, 2020; Published online February 10, 2020] This study examined the effects of hip joint kinetics on pelvic rotation about the superior- inferior (SI) axis during baseball pitching from the viewpoint of energetics. Twelve right- handed males participated and all used an overarm style. Five participants were active colle- giate baseball players and seven participants were former collegiate baseball players. Each participant was instructed to try their maximum effort pitch from an indoor pitching mound. Three pitches per participant that passed through the strike zone were selected for analysis. A motion capture system consisting of 13 cameras and two force platforms were used to collect data and calculate joint torques. Pelvic rotation torque, mechanical energy generation, and transfer were calculated. The hip external rotation torque transferred the mechanical energy from the thigh to the pelvis in the pivot leg, which mainly increased the mechanical energy of the pelvis about the SI axis. Regarding the stride leg, the hip adduction torque generated the mechanical energy, which mainly increased the mechanical energy of the pelvis about the SI axis. The findings highlight the importance of these torques in rotating the pelvis about the SI axis. Keywords: pelvic rotation, hip joint torques, mechanical energy, baseball pitching 1. Introduction upper torso rotates from the viewpoint of energetics during baseball pitching. They showed that the upper Baseball pitchers are usually required to produce a torso rotation about the SI axis was mainly caused by high ball velocity when throwing the ball. Gray (2002) the pelvic rotation about the SI axis. This finding sug- found that high ball velocity led to an error in the gests that the rapid rotation of the pelvis caused by contact of the bat and ball. This suggests that the abil- hip joint kinetics allows the rapid rotation of the upper ity to produce high pitch velocity is critical for base- torso, possibly resulting in high pitch velocity at the ball pitchers. Therefore, it is valuable to investigate time of ball release. Therefore, it is valuable to exam- the underlying mechanisms of how baseball pitchers ine the effects of hip joint kinetics on pelvic rotation produce ball velocity and many researchers in the field during baseball pitching. of biomechanics have investigated this topic (Matsuo For this purpose, the pelvic rotation torque should et al., 2001; Naito et al., 2011; Stodden et al., 2001). likely be considered. The pelvic rotation torque is de- Previous studies indicated the importance of upper fined as the torque acting on the pelvis about the SI torso rotation about the superior-inferior (SI) axis and axis by the hip joint force and torque. This can clarify showed that the angular velocity of the upper torso which hip joint force and torque rotate the pelvis contributed to producing the distal endpoint velocity about the SI axis. Several previous studies have of the throwing arm (Hirashima et al., 2007; Urata et quantified the pelvic rotation torque (Akutagawa and al., 2014). Hirashima et al. (2008) revealed that base- Kojima, 2005; Iino et al., 2014; Iino and Kojima, ball players accelerated the distal endpoint during the 2001). Moreover, a mechanical energy analysis was late phase by using the angular velocity of the upper considered in addition to the pelvic rotation torque in torso during the early phase. These studies indicated this study. Previous studies examined the pelvic rota- that generating high ball velocities can be expected by tion torque (Shimada et al., 2000) and mechanical rotating the upper torso quickly about the SI axis. energy created by the hip joint torques in baseball Therefore, Kimura et al., (2019) investigated how the pitching (Shimada et al., 2004; Hirayama et al., 2010; 16 International Journal of Sport and Health Science Vol.18, 16-27, 2020 http://taiiku-gakkai.or.jp/ Hip Joint Kinetics during Baseball Pitching Kageyama et al., 2015; Uchida et al., 2018). However, it has not been shown that how much mechanical en- ergy of the pelvis about the SI axis is increased by the hip joint force and torque. The analysis of either the pelvic rotation torque or mechanical energy alone can- not show how much mechanical energy of the pelvis about the SI axis is increased. This can be shown by combining the two analyses. Therefore, the purpose of this study was to examine the effect of hip joint kinet- ics on pelvic rotation during baseball pitching from the viewpoint of energetics. Figure 1 The location of reflective markers. 2. Methods (Motion Analysis Corporation, Santa Rosa, CA, USA) 2.1. Participants recorded the three-dimensional coordinates of the position of the reflective markers (sampling rate: The participants included 12 male baseball players 200 Hz). Ground reaction force (GRF) was recorded (age: 22.4±2.3 years, height: 1.73±0.06 m, mass, using two force platforms (Force Plate 9281E, Kistler, 67.6±7.4 kg, playing experience: 10.9±3.1 years), Switzerland, 0.6 m×0.4 m), at a sampling rate of who were not injured. Five participants were active 2000 Hz, and was synchronized with the motion data. collegiate baseball players and seven participants were The X, Y, and Z axes of the global coordinate system former collegiate baseball players, and all used an (GCS) were defined rightward-leftward, forward- overarm style. The experimental procedure was in backward and upward-downward directions, respec- accordance with the Declaration of Helsinki and was tively. approved by the ethical committee of the Graduate School of Arts and Sciences of the University of 2.4. Phases of the pitching motion Tokyo. The study participants gave written informed consent to participate in this study and to publish The pitching motion was divided into three phases these case details. as previously defined (Fleisig et al., 1996) Figure( 2). The stride phase was from the maximal knee height 2.2. Procedure (MKH) of the stride leg to the stride foot contact (SFC). The arm cocking phase was from the SFC to The experiment was performed on an indoor mound the maximal external shoulder rotation (MER) of the designed in conformance with baseball mound criteria. throwing arm. The arm acceleration phase was from Participants wore close-fitting clothing and their shoes. the MER to ball release (BR). The SFC was defined Forty-eight reflective markers (diameter: 20 mm) were as the instant when the vertical GRF exceeded 10 N attached to anatomical landmarks on each participant (Oyama et al., 2013). The BR was defined as the in- and three reflective markers were attached to the ball stant when the distance between any of the markers (Figure 1). After a warm-up, the participants were in- on the ball and the marker on the throwing hand in- structed to try their maximum effort pitch from the in- creased by more than 2 cm (Nissen et al., 2007). The door pitching mound to a strike zone (height: 0.64 m, time from MKH to BR was divided into 100 parts and width: 0.38 m) positioned at a distance of 5 m away. normalized (MKH: 0%, BR: 100%). A cubic spline They were allowed enough rest (60 s) between pitches function was used to normalize the data. to avoid the effects of fatigue. Three pitches per par- ticipant that passed through the strike zone were se- 2.5. Data analysis lected for analysis. The data analysis was performed using MATLAB 2.3. Data collection 2015a (MathWorks Inc., Natick, MA, USA). The posi- tion coordinates of the markers were smoothed by ap- A motion capture system consisting of 13 cameras plying a bidirectional fourth-order Butterworth low- 17 Arata Kimura, et al. Figure 2 The main phase and events of the pitching. The stride phase was defined from the maximal knee height (MKH) to the stride foot contact (SFC). The arm cocking phase was defined from the SFC to the maximal external shoulder rotation (MER). The arm acceleration phase was defined from the MER to the ball release (BR). These defi- nition conformed to the previous studies (Fleisig et al., 1996). pass filter. A residual analysis (Winter, 2009) was The joint angular velocity was calculated by sub- performed to identify the optimal cut-off frequency for tracting the angular velocity of proximal segment from each of the three-dimensional positions of each marker that of the distal segment in the GCS. Then, each joint in each trial. A range of cut-offs between 7 and 15 Hz angular velocity was transformed into the right-handed was used for the dataset. The GRF data were orthogonal local coordinate system at each joint. The smoothed using a Butterworth low-pass digital filter joint force and torque of the ankle, knee, and hip with a cut-off frequency of 15 Hz to prevent artifacts joints were calculated using inverse dynamics in the from appearing in the joint torque (Bisseling and Hof, GCS. Then, each joint torque was transformed into the 2006; Kristianslund et al., 2012). right-handed orthogonal local coordinate system at The position coordinates of the middle point of the each joint and normalized by the body mass. The hip ball were calculated using the position coordinates of joint force and the hip joint center velocity were the left and right side of the ball. Then, the ball veloc- transformed into the pelvis coordinate system (xpel: ity was calculated by differentiating the middle point lateral-medial axis; ypel: anterior-posterior axis; zpel: of the ball.
Recommended publications
  • Modeling the Physics of RRAM Defects
    Modeling the physics of RRAM defects A model simulating RRAM defects on a macroscopic physical level T. Hol Modeling the physics of RRAM defects A model simulating RRAM defects on a macroscopic physical level by T. Hol to obtain the degree of Master of Science at the Delft University of Technology, to be defended publicly on Friday August 28, 2020 at 13:00. Student number: 4295528 Project duration: September 1, 2019 – August 28, 2020 Thesis committee: Prof. dr. ir. S. Hamdioui TU Delft, supervisor Dr. Ir. R. Ishihara TU Delft Dr. Ir. S. Vollebregt TU Delft Dr. Ir. M. Taouil TU Delft Ir. M. Fieback TU Delft, supervisor An electronic version of this thesis is available at https://repository.tudelft.nl/. Abstract Resistive RAM, or RRAM, is one of the emerging non-volatile memory (NVM) technologies, which could be used in the near future to fill the gap in the memory hierarchy between dynamic RAM (DRAM) and Flash, or even completely replace Flash. RRAM operates faster than Flash, but is still non-volatile, which enables it to be used in a dense 3D NVM array. It is also a suitable candidate for computation-in-memory, neuromorphic computing and reconfigurable computing. However, the show stopping problem of RRAM is that it suffers from unique defects, which is the reason why RRAM is still not widely commercially adopted. These defects differ from those that appear in CMOS technology, due to the arbitrary nature of the forming process. They can not be detected by conventional tests and cause defective devices to go unnoticed.
    [Show full text]
  • Kinematics, Kinetics, Dynamics, Inertia Kinematics Is a Branch of Classical
    Course: PGPathshala-Biophysics Paper 1:Foundations of Bio-Physics Module 22: Kinematics, kinetics, dynamics, inertia Kinematics is a branch of classical mechanics in physics in which one learns about the properties of motion such as position, velocity, acceleration, etc. of bodies or particles without considering the causes or the driving forces behindthem. Since in kinematics, we are interested in study of pure motion only, we generally ignore the dimensions, shapes or sizes of objects under study and hence treat them like point objects. On the other hand, kinetics deals with physics of the states of the system, causes of motion or the driving forces and reactions of the system. In a particular state, namely, the equilibrium state of the system under study, the systems can either be at rest or moving with a time-dependent velocity. The kinetics of the prior, i.e., of a system at rest is studied in statics. Similarly, the kinetics of the later, i.e., of a body moving with a velocity is called dynamics. Introduction Classical mechanics describes the area of physics most familiar to us that of the motion of macroscopic objects, from football to planets and car race to falling from space. NASCAR engineers are great fanatics of this branch of physics because they have to determine performance of cars before races. Geologists use kinematics, a subarea of classical mechanics, to study ‘tectonic-plate’ motion. Even medical researchers require this physics to map the blood flow through a patient when diagnosing partially closed artery. And so on. These are just a few of the examples which are more than enough to tell us about the importance of the science of motion.
    [Show full text]
  • Hamilton Description of Plasmas and Other Models of Matter: Structure and Applications I
    Hamilton description of plasmas and other models of matter: structure and applications I P. J. Morrison Department of Physics and Institute for Fusion Studies The University of Texas at Austin [email protected] http://www.ph.utexas.edu/ morrison/ ∼ MSRI August 20, 2018 Survey Hamiltonian systems that describe matter: particles, fluids, plasmas, e.g., magnetofluids, kinetic theories, . Hamilton description of plasmas and other models of matter: structure and applications I P. J. Morrison Department of Physics and Institute for Fusion Studies The University of Texas at Austin [email protected] http://www.ph.utexas.edu/ morrison/ ∼ MSRI August 20, 2018 Survey Hamiltonian systems that describe matter: particles, fluids, plasmas, e.g., magnetofluids, kinetic theories, . \Hamiltonian systems .... are the basis of physics." M. Gutzwiller Coarse Outline William Rowan Hamilton (August 4, 1805 - September 2, 1865) I. Today: Finite-dimensional systems. Particles etc. ODEs II. Tomorrow: Infinite-dimensional systems. Hamiltonian field theories. PDEs Why Hamiltonian? Beauty, Teleology, . : Still a good reason! • 20th Century framework for physics: Fluids, Plasmas, etc. too. • Symmetries and Conservation Laws: energy-momentum . • Generality: do one problem do all. • ) Approximation: perturbation theory, averaging, . 1 function. • Stability: built-in principle, Lagrange-Dirichlet, δW ,.... • Beacon: -dim KAM theorem? Krein with Cont. Spec.? • 9 1 Numerical Methods: structure preserving algorithms: • symplectic, conservative, Poisson integrators,
    [Show full text]
  • Model CIB-L Inertia Base Frame
    KINETICS® Inertia Base Frame Model CIB-L Description Application Model CIB-L inertia base frames, when filled with KINETICSTM CIB-L inertia base frames are specifically concrete, meet all specifications for inertia bases, designed and engineered to receive poured concrete, and when supported by proper KINETICSTM vibration for use in supporting mechanical equipment requiring isolators, provide the ultimate in equipment isolation, a reinforced concrete inertia base. support, anchorage, and vibration amplitude control. Inertia bases are used to support mechanical KINETICSTM CIB-L inertia base frames incorporate a equipment, reduce equipment vibration, provide for unique structural design which integrates perimeter attachment of vibration isolators, prevent differential channels, isolator support brackets, reinforcing rods, movement between driving and driven members, anchor bolts and concrete fill into a controlled load reduce rocking by lowering equipment center of transfer system, utilizing steel in tension and concrete gravity, reduce motion of equipment during start-up in compression, resulting in high strength and stiff- and shut-down, act to reduce reaction movement due ness with minimum steel frame weight. Completed to operating loads on equipment, and act as a noise inertia bases using model CIB-L frames are stronger barrier. and stiffer than standard inertia base frames using heavier steel members. Typical uses for KINETICSTM inertia base frames, with poured concrete and supported by KINETICSTM Standard CIB-L inertia base frames
    [Show full text]
  • KINETICS Tool of ANSA for Multi Body Dynamics
    physics on screen KINETICS tool of ANSA for Multi Body Dynamics Introduction During product manufacturing processes it is important for engineers to have an overview of their design prototypes’ motion behavior to understand how moving bodies interact with respect to each other. Addressing this, the KINETICS tool has been incorporated in ANSA as a Multi-Body Dynamics (MBD) solution. Through its use, engineers can perform motion analysis to study and analyze the dynamics of mechanical systems that change their response with respect to time. Through the KINETICS tool ANSA offers multiple capabilities that are accomplished by the functionality presented below. Model definition Multi-body models can be defined on any CAD data or on existing FE models. Users can either define their Multi-body models manually from scratch or choose to automatically convert an existing FE model setup (e.g. ABAQUS, LSDYNA) to a Multi- body model. Contact Modeling The accuracy and robustness of contact modeling are very important in MBD simulations. The implementation of algorithms based on the non-smooth dynamics theory of unilateral contacts allows users to study contact incidents providing accurate solutions that the ordinary regularized methodologies cannot offer. Furthermore, the selection between different friction types maximizes the realism in the model behavior. Image 1: A Seat-dummy FE model converted to a multibody model Image 2: A Bouncing of a piston inside a cylinder BETA CAE Systems International AG D4 Business Village Luzern, Platz 4 T +41 415453650 [email protected] CH-6039 Root D4, Switzerland F +41 415453651 www.beta-cae.com Configurator In many cases, engineers need to manipulate mechanisms under the influence of joints, forces and contacts and save them in different positions.
    [Show full text]
  • Fundamentals of Biomechanics Duane Knudson
    Fundamentals of Biomechanics Duane Knudson Fundamentals of Biomechanics Second Edition Duane Knudson Department of Kinesiology California State University at Chico First & Normal Street Chico, CA 95929-0330 USA [email protected] Library of Congress Control Number: 2007925371 ISBN 978-0-387-49311-4 e-ISBN 978-0-387-49312-1 Printed on acid-free paper. © 2007 Springer Science+Business Media, LLC All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer Science+Business Media, LLC, 233 Spring Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use in this publication of trade names, trademarks, service marks and similar terms, even if they are not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject to proprietary rights. 987654321 springer.com Contents Preface ix NINE FUNDAMENTALS OF BIOMECHANICS 29 Principles and Laws 29 Acknowledgments xi Nine Principles for Application of Biomechanics 30 QUALITATIVE ANALYSIS 35 PART I SUMMARY 36 INTRODUCTION REVIEW QUESTIONS 36 CHAPTER 1 KEY TERMS 37 INTRODUCTION TO BIOMECHANICS SUGGESTED READING 37 OF UMAN OVEMENT H M WEB LINKS 37 WHAT IS BIOMECHANICS?3 PART II WHY STUDY BIOMECHANICS?5 BIOLOGICAL/STRUCTURAL BASES
    [Show full text]
  • Chapter 12. Kinetics of Particles: Newton's Second
    Chapter 12. Kinetics of Particles: Newton’s Second Law Introduction Newton’s Second Law of Motion Linear Momentum of a Particle Systems of Units Equations of Motion Dynamic Equilibrium Angular Momentum of a Particle Equations of Motion in Radial & Transverse Components Conservation of Angular Momentum Newton’s Law of Gravitation Trajectory of a Particle Under a Central Force Application to Space Mechanics Kepler’s Laws of Planetary Motion Kinetics of Particles We must analyze all of the forces acting on the racecar in order to design a good track As a centrifuge reaches high velocities, the arm will experience very large forces that must be considered in design. Introduction Σ=Fam 12.1 Newton’s Second Law of Motion • If the resultant force acting on a particle is not zero, the particle will have an acceleration proportional to the magnitude of resultant and in the direction of the resultant. • Must be expressed with respect to a Newtonian (or inertial) frame of reference, i.e., one that is not accelerating or rotating. • This form of the equation is for a constant mass system 12.1 B Linear Momentum of a Particle • Replacing the acceleration by the derivative of the velocity yields dv ∑ Fm= dt d dL =(mv) = dt dt L = linear momentum of the particle • Linear Momentum Conservation Principle: If the resultant force on a particle is zero, the linear momentum of the particle remains constant in both magnitude and direction. 12.1C Systems of Units • Of the units for the four primary dimensions (force, mass, length, and time), three may be chosen arbitrarily.
    [Show full text]
  • Basics of Physics Course II: Kinetics | 1
    Basics of Physics Course II: Kinetics | 1 This chapter gives you an overview of all the basic physics that are important in biomechanics. The aim is to give you an introduction to the physics of biomechanics and maybe to awaken your fascination for physics. The topics mass, momentum, force and torque are covered. In order to illustrate the physical laws in a practical way, there is one example from physics and one from biomechanics for each topic area. Have fun! 1. Mass 2. Momentum 3. Conservation of Momentum 4. Force 5. Torque 1.Mass In physics, mass M is a property of a body. Its unit is kilogram [kg] . Example Physics Example Biomechanics 2. Momentum In physics, the momentum p describes the state of motion of a body. Its unit is kilogram times meter per second [\frac{kg * m}{s}] The momentum combines the mass with the velocity. The momentum is described by the following formula: p = M * v Here p is the momentum, M the mass and v the velocity of the body. © 2020 | The Biomechanist | All rights reserved Basics of Physics Course II: Kinetics | 2 Sometimes the formula sign for the impulse is also written like this: \vec{p} . This is because the momentum is a vectorial quantity and therefore has a size and a direction. For the sake of simplicity we write only p . Example Physics 3. conservation of momentum Let us assume that a billiard ball rolls over a billiard table at a constant speed and then hits a second ball that is lighter than the first ball.
    [Show full text]
  • Kinematics and Kinetics of Elite Windmill Softball Pitching
    Kinematics and Kinetics of Elite Windmill Softball Pitching Sherry L. Werner,*† PhD, Deryk G. Jones,‡ MD, John A. Guido, Jr,† MHS, PT, SCS, ATC, CSCS, and Michael E. Brunet,† MD From the †Tulane Institute of Sports Medicine, New Orleans, Louisiana, and the ‡Sports Medicine Section, Ochsner Clinic Foundation, New Orleans, Louisiana Background: A significant number of time-loss injuries to the upper extremity in elite windmill softball pitchers has been docu- mented. The number of outings and pitches thrown in 1 week for a softball pitcher is typically far in excess of those seen in baseball pitchers. Shoulder stress in professional baseball pitching has been reported to be high and has been linked to pitch- ing injuries. Shoulder distraction has not been studied in an elite softball pitching population. Hypothesis: The stresses on the throwing shoulder of elite windmill pitchers are similar to those found for professional baseball pitchers. Study Design: Descriptive laboratory study. Methods: Three-dimensional, high-speed (120 Hz) video data were collected on rise balls from 24 elite softball pitchers during the 1996 Olympic Games. Kinematic parameters related to pitching mechanics and resultant kinetics on the throwing shoulder were calculated. Multiple linear regression analysis was used to relate shoulder stress and pitching mechanics. Results: Shoulder distraction stress averaged 80% of body weight for the Olympic pitchers. Sixty-nine percent of the variabil- ity in shoulder distraction can be explained by a combination of 7 parameters related to pitching mechanics. Conclusion: Excessive distraction stress at the throwing shoulder is similar to that found in baseball pitchers, which suggests that windmill softball pitchers are at risk for overuse injuries.
    [Show full text]
  • Fractional Poisson Process in Terms of Alpha-Stable Densities
    FRACTIONAL POISSON PROCESS IN TERMS OF ALPHA-STABLE DENSITIES by DEXTER ODCHIGUE CAHOY Submitted in partial fulfillment of the requirements For the degree of Doctor of Philosophy Dissertation Advisor: Dr. Wojbor A. Woyczynski Department of Statistics CASE WESTERN RESERVE UNIVERSITY August 2007 CASE WESTERN RESERVE UNIVERSITY SCHOOL OF GRADUATE STUDIES We hereby approve the dissertation of DEXTER ODCHIGUE CAHOY candidate for the Doctor of Philosophy degree * Committee Chair: Dr. Wojbor A. Woyczynski Dissertation Advisor Professor Department of Statistics Committee: Dr. Joe M. Sedransk Professor Department of Statistics Committee: Dr. David Gurarie Professor Department of Mathematics Committee: Dr. Matthew J. Sobel Professor Department of Operations August 2007 *We also certify that written approval has been obtained for any proprietary material contained therein. Table of Contents Table of Contents . iii List of Tables . v List of Figures . vi Acknowledgment . viii Abstract . ix 1 Motivation and Introduction 1 1.1 Motivation . 1 1.2 Poisson Distribution . 2 1.3 Poisson Process . 4 1.4 α-stable Distribution . 8 1.4.1 Parameter Estimation . 10 1.5 Outline of The Remaining Chapters . 14 2 Generalizations of the Standard Poisson Process 16 2.1 Standard Poisson Process . 16 2.2 Standard Fractional Generalization I . 19 2.3 Standard Fractional Generalization II . 26 2.4 Non-Standard Fractional Generalization . 27 2.5 Fractional Compound Poisson Process . 28 2.6 Alternative Fractional Generalization . 29 3 Fractional Poisson Process 32 3.1 Some Known Properties of fPp . 32 3.2 Asymptotic Behavior of the Waiting Time Density . 35 3.3 Simulation of Waiting Time . 38 3.4 The Limiting Scaled nth Arrival Time Distribution .
    [Show full text]
  • Coordination Indices Between Lifting Kinematics and Kinetics Xu Xu North Carolina State University
    Industrial and Manufacturing Systems Engineering Industrial and Manufacturing Systems Engineering Publications 2008 Coordination indices between lifting kinematics and kinetics Xu Xu North Carolina State University Simon M. Hsiang North Carolina State University Gary Mirka Iowa State University, [email protected] Follow this and additional works at: http://lib.dr.iastate.edu/imse_pubs Part of the Ergonomics Commons, Industrial Engineering Commons, and the Systems Engineering Commons The ompc lete bibliographic information for this item can be found at http://lib.dr.iastate.edu/ imse_pubs/163. For information on how to cite this item, please visit http://lib.dr.iastate.edu/ howtocite.html. This Article is brought to you for free and open access by the Industrial and Manufacturing Systems Engineering at Iowa State University Digital Repository. It has been accepted for inclusion in Industrial and Manufacturing Systems Engineering Publications by an authorized administrator of Iowa State University Digital Repository. For more information, please contact [email protected]. Coordination Indices between Lifting Kinematics and Kinetics Xu Xu, Simon M. Hsiang ** and Gary A. Mirka The Ergonomics Laboratory Edward P. Fitts Department of Industrial and Systems Engineering, Box 7906 North Carolina State University Abstract During a lifting task the movement of the trunk can account for the majority of the external moment about the ankle. Though the angle of trunk flexion and the external moment about the ankles are roughly correlated, this correlation can be reduced by various segmental dynamics and momentums with the upper/lower extremities. Two methods are proposed in this technical note for describing the relationship between the kinematics and the kinetics of a lifting motion.
    [Show full text]
  • Time-Dependent Statistical Mechanics 10. Classical Theory of Chemical Kinetics
    Time-Dependent Statistical Mechanics 10. Classical theory of chemical kinetics c Hans C. Andersen October 18, 2009 One of the most recent applications of classical linear response theory is to Lecture the theory of chemical reaction rate constants, although this is one of the 7 more important and interesting applications of time dependent statistical 10/13/09 mechanics, from a chemistry point of view. At first glance it looks like an unusual and unphysical way of constructing a theory, but in fact it is valid. Before discussing this, we want to review and extend some remarks we made about a linear response situation that we discussed briefly a few lectures ago. 1 Macroscopic description of first order reac- tion kinetics Recall that in getting a microscopic expression for the self diffusion coefficient as an equilibrium time correlation function we compared the predictions of the macroscopic diffusion equation with the predictions of the microscopic equations of motion and assume that both were valid for long enough time scales and distance scales. We now want to do the same thing for chemical reaction rate constants. For simplicity, we shall restrict our attention to first order reactions, but the discussion could certainly be generalized to more complicated reactions. 1 1.1 Chemical rate equations Let’s suppose that the reaction involves conversion of an A molecule to a B molecule and vice versa. k A →f B B →kr A The forward and reverse rate constants are kf and kr. The chemical rate equations are dN A = −k N + k N dt F A r B dN B = k N − k N dt F A r B At equilibrium, each of these derivatives is zero, and we have −kf NA + krNB =0 N k B.eq = f = K NA,eq kr where K is the equilibrium constant of the reaction.
    [Show full text]