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  • Responses about localization of center of mass

    Dear All,

    I would like to thank all the responses to question concerning the
    use of one mark position to the determination of body center of mass.
    Especially to

    Jose_A_BARELA@umail.umd.edu (jb262)
    Univesity of Maryland.

    Jose Haroldo
    labmov@lab01.sarah.br

    for the answers in portuguese !

    Luis Mochizuki
    Lab. Biomechanics
    School of Physical Education and Sport - University of Sao Paulo
    __________________________________________________ ____

    Your wish has been expressed before by many of us who are interested in
    studying posture, but it is not very realistic. The closest one may
    come
    is to have the subject stand "perfectly" still, at which point we may
    assume the center of mass (COM) is directly above the center of pressure

    (COP). From that point on, any motion of the COM will be represented by

    the double integration of the GRF, with appropriate scaling by the body
    mass. To check the accuracy of the calculations, it is best to have the

    session end with another period of static equilibrium. The difficulties

    inherent in this approach include:
    1) a standing person is never "static",
    2) this method tells little about vertical position (for those to whom
    this
    is significant one may use estimates of standing height from
    anthropometric
    tables),
    3) errors in measuring forces are incorporated and carried forward in
    time.

    Most people find that accuracy is enhanced by including kinematic
    measures
    of the motion of body segments.

    Good luck.



    Larry Abraham, EdD
    Kinesiology & Health Education
    The University of Texas at Austin
    Austin, TX 78712 USA
    (512)471-1273 FAX (512)471-8914
    l.abraham@mail.utexas.edu
    http://www.edb.utexas.edu/abraham97/lda.html

    ______________________________________________

    Hello Luis,

    I read your question regarding the center of mass and balance. Using
    current segment parameter tables found in the literature, you will not
    get a precise measurement of center of mass for the whole body better
    than within + or - 5 cm, (my guess). this may be accurate enough for a
    simple inverted pendulum model of balance though. If the subjects are
    not swaying extensively, you may wish to measure each subject's CofM
    position directly while supine on a reaction board, then mark this
    location. this will give you a fair estimate of the CofM position;
    however, if the configuration of body segments change substantially, the

    true CofM location will move.

    I recall a paper by Yang JF, Winter DA and Wells RP. (1990) Postural
    Dynamics inthe standing human. Biological Cybernetics 62:309-320. which

    may give you a direction.

    Best of luck,

    David Pearsall, PhD
    Assistant Professor,
    Dept of Physical Education
    McGill University
    Montreal, Quebec, Canada

    ____________
    Luis,

    The center of mass in activities such as sit-to-stand, picking up an
    object, or landing from a jump can not be modeled using a single point,
    because of all the independent motion of the extremities. However, if
    you
    are looking at stabiligrams, you might be studying only quiet standing.
    If
    so, it is a reasonable assumption that the CM is 55% of body height from

    the floor. Any marker centered on the torso at this level will give you
    a
    reasonable estimate of CM location.



    _________________________

    ()
    /\
    Jim Patton_/)
    /\
    / \
    _\ _\

    Doctoral Candidate,
    Biomedical Engineering
    Northwestern U.
    EMAIL: j-patton@nwu.edu
    http://sulu.smpp.nwu.edu/~jim

    _____________________________

    The best way I have seen has been in Dudley Childres's lab here at
    Northwestern. Although I'm not thoroughly familiar with his work, I do

    know that because of the limitations of their motion analysis system
    (CODA), it is really dificult to use more than 3 markers. Hence, a lot
    of
    their work deals with center of mass. A recent article dealing with CM
    location in gait is :

    Gard, S.A, and Childress, D.S., "Investigation of Vertical Motion of the

    Human Body During Normal Walking. Gait & Posture 5 (2) p. 161.
    Abstracts
    of the Second Annual Meeting of the North American Society of Gaitand
    Clinical Movement Analysis, Chicago, IL April 9-12, 1997.

    Their website address is:

    http://pele.repoc.nwu.edu/

    Personally, I would use the center of the posterior edge iliac spine and

    the left and right anterior superior iliac spine to form a pelvic
    coordinate system, then use this to estimate the CM. I've never tried
    this, though.

    Also, you may want to see the article I did with Clive Pai in the April
    issue of the Journal of Biomechanics this year. It deals with the
    dynamics
    of the center of mass in terminating movements.

    Best of luck, and let me know how things turn out.

    JIM
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