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Relation between Joint Torque, Moment Arm, and muscle forces

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  • Relation between Joint Torque, Moment Arm, and muscle forces

    Hi,

    Thank you for some people who gave me some comments
    and resources the other day, and it seems I would need
    to do some experiments to determine which moment arm
    calculation method would be the most appropriate for
    my program.

    Anyway, I would like to ask about the relationship
    between joint torque, moment arm, and muscle forces.
    >From "Creating and retargetting motion by the
    musculoskeletal human body model" by Komura et al.,
    the relationship is defined as
    "the torque of joint i is the sum of the cross product
    of the moment arm and the force of each muscle
    crossing that joint", or

    torque(i) = sigma(r(j) X f(j))

    r: moment arm
    f: muscle force

    If I want to find the moment arm and muscle force
    based on the torque as input, I think it will generate
    underdetermined equations (written on that paper too).
    I wonder if anyone has a solution or comments for that
    ? Perhaps on the relationship itself?

    Thank you in advance,

    Sindharta T.




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