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    Subject: Horizontal and Vertical components of knee extension

    A fortuitous meeting with Prof. George Twardokens (Kinesiology specialist
    here at Univ. of Nevada, Reno) a number of years ago eventually led to the
    development of a lab bench device for human power output in an oscillating
    linear motion in contrast to the crank arms of bicycles and some wheelchairs.
    But a related question raised at that time remains unanswered in my mind
    and I would welcome references or authors' names from BIOMCH folks. The
    question has to do with the horizontal component of leg extension. We tried
    a small research effort in a PE class once on this and mostly learned that
    we needed more sophisticated research tools. But that was before the
    widespread use of videography and computer graphics so by now someone else
    may have attacked the problem in a better way. Since I can't draw pictures
    here, please be patient with the following verbal description.

    Many studies have been done on the vertical or lifting force of a standing
    person at various angles at the knee between the femur and the tibia. But
    in going from a flexed to a fully upright position imagine that the back
    of the knee is contact with a dynamometer so that the (nearly) horizontal
    movement of the knee exerts a force "backwards" or horizontally. Now
    imagine that this force is precisely recorded at various angles of knee
    extension simultaneously with the vertical or lifting component. Then we
    would like to plot the relationship of these two forces during a full range
    of movement from deep knee bend to fully extended leg. At the same time it
    would be nice to do electro-myography on the quadriceps to correlate
    muscle action through this range of movement.

    I would delight in learning that this has been done, or being directed
    toward investigators likely to have considered this question.

    My expectation would be that beyond an angle of 150 degrees or so, very
    small changes in the horizontal component force would be correlated with
    increasingly large changes in the vertical component. But what kind of
    increments and what kinds of forces? We found, for instance, that a
    conventional goniometer was inadequate when trying to measure small
    angular changes as the subjects got closer and closer to full extension.
    Insights on this would be very useful in the design of linear power
    devices.

    I also suspect that precise measurements very close to full extension
    might help resolve the seemingly interminable debates about the origins,
    advantages, disadvantages of hominid bipedalism among physical anthropologists.
    In general, the occasional bipedalism of the other primates does not involve
    the full extension of big toe, ankle and knee of humans (consider the ballerina
    up "on point"). But what kinds of mechanical advantages or energy efficiencies
    might we humans enjoy because of this? Your suggestions are invited.

    Incidentally, skiing biomechanicians might be interested to know that Prof.
    Twardokens' magnum opus "Universal Ski Techniques" has been published. In
    addition to its coverage of skiing History, Techniques and Teaching Methods,
    its coverage of the biomechanics of downhill skiing is probably the most
    comprehensive to be found in any single volume on skiing.

    John Martinson
    Facilities Services (114)
    Univ. of Nevada, Reno
    Reno NV 89557

    >From marty Sun Nov 15 19:30:27 1992
    From: marty
    To: BIOMCH-L@HEARN.nic.SURFnet.ul
    Subject: Horizontal and Vertical components of knee extension
    Date: Sun, 15 Nov 1992 19:30:27 GMT

    A fortuitous meeting with Prof. George Twardokens (Kinesiology specialist
    here at Univ. of Nevada, Reno) a number of years ago eventually led to the
    development of a lab bench device for human power output in an oscillating
    linear motion in contrast to the crank arms of bicycles and some wheelchairs.
    But a related question raised at that time remains unanswered in my mind
    and I would welcome references or authors' names from BIOMCH folks. The
    question has to do with the horizontal component of leg extension. We tried
    a small research effort in a PE class once on this and mostly learned that
    we needed more sophisticated research tools. But that was before the
    widespread use of videography and computer graphics so by now someone else
    may have attacked the problem in a better way. Since I can't draw pictures
    here, please be patient with the following verbal description.

    Many studies have been done on the vertical or lifting force of a standing
    person at various angles at the knee between the femur and the tibia. But
    in going from a flexed to a fully upright position imagine that the back
    of the knee is contact with a dynamometer so that the (nearly) horizontal
    movement of the knee exerts a force "backwards" or horizontally. Now
    imagine that this force is precisely recorded at various angles of knee
    extension simultaneously with the vertical or lifting component. Then we
    would like to plot the relationship of these two forces during a full range
    of movement from deep knee bend to fully extended leg. At the same time it
    would be nice to do electro-myography on the quadriceps to correlate
    muscle action through this range of movement.

    I would delight in learning that this has been done, or being directed
    toward investigators likely to have considered this question.

    My expectation would be that beyond an angle of 150 degrees or so, very
    small changes in the horizontal component force would be correlated with
    increasingly large changes in the vertical component. But what kind of
    increments and what kinds of forces? We found, for instance, that a
    conventional goniometer was inadequate when trying to measure small
    angular changes as the subjects got closer and closer to full extension.
    Insights on this would be very useful in the design of linear power
    devices.

    I also suspect that precise measurements very close to full extension
    might help resolve the seemingly interminable debates about the origins,
    advantages, disadvantages of hominid bipedalism among physical anthropologists.
    In general, the occasional bipedalism of the other primates does not involve
    the full extension of big toe, ankle and knee of humans (consider the ballerina
    up "on point"). But what kinds of mechanical advantages or energy efficiencies
    might we humans enjoy because of this? Your suggestions are invited.

    Incidentally, skiing biomechanicians might be interested to know that Prof.
    Twardokens' magnum opus "Universal Ski Techniques" has been published. In
    addition to its coverage of skiing History, Techniques and Teaching Methods,
    its coverage of the biomechanics of downhill skiing is probably the most
    comprehensive to be found in any single volume on skiing.

    John Martinson
    Facilities Services (114)
    Univ. of Nevada, Reno
    Reno NV 89557

    >From marty Mon Nov 16 11:19:56 1992
    From: marty
    To: BIOMCH-L@HEARN.bitnet
    Subject: Vertical & horizontal components of leg extension
    Date: Mon, 16 Nov 1992 11:19:56 GMT

    Subject: Horizontal and Vertical components of knee extension

    A fortuitous meeting with Prof. George Twardokens (Kinesiology specialist
    here at Univ. of Nevada, Reno) a number of years ago eventually led to the
    development of a lab bench device for human power output in an oscillating
    linear motion in contrast to the crank arms of bicycles and some wheelchairs.
    But a related question raised at that time remains unanswered in my mind
    and I would welcome references or authors' names from BIOMCH folks. The
    question has to do with the horizontal component of leg extension. We tried
    a small research effort in a PE class once on this and mostly learned that
    we needed more sophisticated research tools. But that was before the
    widespread use of videography and computer graphics so by now someone else
    may have attacked the problem in a better way. Since I can't draw pictures
    here, please be patient with the following verbal description.

    Many studies have been done on the vertical or lifting force of a standing
    person at various angles at the knee between the femur and the tibia. But
    in going from a flexed to a fully upright position imagine that the back
    of the knee is contact with a dynamometer so that the (nearly) horizontal
    movement of the knee exerts a force "backwards" or horizontally. Now
    imagine that this force is precisely recorded at various angles of knee
    extension simultaneously with the vertical or lifting component. Then we
    would like to plot the relationship of these two forces during a full range
    of movement from deep knee bend to fully extended leg. At the same time it
    would be nice to do electro-myography on the quadriceps to correlate
    muscle action through this range of movement.

    I would delight in learning that this has been done, or being directed
    toward investigators likely to have considered this question.

    My expectation would be that beyond an angle of 150 degrees or so, very
    small changes in the horizontal component force would be correlated with
    increasingly large changes in the vertical component. But what kind of
    increments and what kinds of forces? We found, for instance, that a
    conventional goniometer was inadequate when trying to measure small
    angular changes as the subjects got closer and closer to full extension.
    Insights on this would be very useful in the design of linear power
    devices.

    I also suspect that precise measurements very close to full extension
    might help resolve the seemingly interminable debates about the origins,
    advantages, disadvantages of hominid bipedalism among physical anthropologists.
    In general, the occasional bipedalism of the other primates does not involve
    the full extension of big toe, ankle and knee of humans (consider the ballerina
    up "on point"). But what kinds of mechanical advantages or energy efficiencies
    might we humans enjoy because of this? Your suggestions are invited.

    Incidentally, skiing biomechanicians might be interested to know that Prof.
    Twardokens' magnum opus "Universal Ski Techniques" has been published. In
    addition to its coverage of skiing History, Techniques and Teaching Methods,
    its coverage of the biomechanics of downhill skiing is probably the most
    comprehensive to be found in any single volume on skiing.

    John Martinson
    Facilities Services (114)
    Univ. of Nevada, Reno
    Reno NV 89557

    >From marty Sun Nov 15 19:30:27 1992
    From: marty
    To: BIOMCH-L@HEARN.nic.SURFnet.ul
    Subject: Horizontal and Vertical components of knee extension
    Date: Sun, 15 Nov 1992 19:30:27 GMT

    A fortuitous meeting with Prof. George Twardokens (Kinesiology specialist
    here at Univ. of Nevada, Reno) a number of years ago eventually led to the
    development of a lab bench device for human power output in an oscillating
    linear motion in contrast to the crank arms of bicycles and some wheelchairs.
    But a related question raised at that time remains unanswered in my mind
    and I would welcome references or authors' names from BIOMCH folks. The
    question has to do with the horizontal component of leg extension. We tried
    a small research effort in a PE class once on this and mostly learned that
    we needed more sophisticated research tools. But that was before the
    widespread use of videography and computer graphics so by now someone else
    may have attacked the problem in a better way. Since I can't draw pictures
    here, please be patient with the following verbal description.

    Many studies have been done on the vertical or lifting force of a standing
    person at various angles at the knee between the femur and the tibia. But
    in going from a flexed to a fully upright position imagine that the back
    of the knee is contact with a dynamometer so that the (nearly) horizontal
    movement of the knee exerts a force "backwards" or horizontally. Now
    imagine that this force is precisely recorded at various angles of knee
    extension simultaneously with the vertical or lifting component. Then we
    would like to plot the relationship of these two forces during a full range
    of movement from deep knee bend to fully extended leg. At the same time it
    would be nice to do electro-myography on the quadriceps to correlate
    muscle action through this range of movement.

    I would delight in learning that this has been done, or being directed
    toward investigators likely to have considered this question.

    My expectation would be that beyond an angle of 150 degrees or so, very
    small changes in the horizontal component force would be correlated with
    increasingly large changes in the vertical component. But what kind of
    increments and what kinds of forces? We found, for instance, that a
    conventional goniometer was inadequate when trying to measure small
    angular changes as the subjects got closer and closer to full extension.
    Insights on this would be very useful in the design of linear power
    devices.

    I also suspect that precise measurements very close to full extension
    might help resolve the seemingly interminable debates about the origins,
    advantages, disadvantages of hominid bipedalism among physical anthropologists.
    In general, the occasional bipedalism of the other primates does not involve
    the full extension of big toe, ankle and knee of humans (consider the ballerina
    up "on point", but let's not get into discussion of "plantar flexion"
    here). But what kinds of mechanical advantages or energy efficiencies
    might we humans enjoy because of this? Your suggestions are invited.

    Incidentally, skiing biomechanicians might be interested to know that Prof.
    Twardokens' magnum opus "Universal Ski Techniques" has been published. In
    addition to its coverage of skiing History, Techniques and Teaching Methods,
    its coverage of the biomechanics of downhill skiing is probably the most
    comprehensive to be found in any single volume on skiing.

    John Martinson
    Facilities Services (114)
    Univ. of Nevada, Reno
    Reno NV 89557
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