Post by twirly on Apr 4, 2008 19:04:41 GMT
Hi Dave,
I understood this bit --->
[glow=red,2,300]Hold your right palm up so that it faces your face. Make a fist. [/glow]
Then this bit lost me ---->
[glow=red,2,300]Extend your thumb so that it points to your right. Extend your index finger so that it points vertically, extend your 3rd finger (next to youur index) so that it poit directly at you face. These fingers indicate direction and sign of the axes X, Y, Z. F denotes it is a force in that axis, the sign (+/-) denotes the direction. So imagine that someone walks in the direction of your thumb, as it is now. That is forward and +Fx, your index finger points upward in + Fy and your 3rd finger points to the right (relative to the forward direction of your thumb) = +Fz. Negative signs are obviously in the opposite directions.
Now here comes the really good bit. Direction signs of moments.
With your hand in the same position and considering the finger representing +Fz (third finger) Turn it as though you were doing up a right hand screw thread, This is +Mz. Do the same with the other fingers the direction of rotation is +Mz. Another way is to look along the finger (axis) of interest in the positive direction and the +M is a clockwise direction. +My is a positive moment on the y axis.
Not confused yet ---
Now in the global reference frame (the orientation of the room your in for instance) the directions are absolute and not related to which side of the body you view the subject from.
Therefore +Fy is always vertically upward and +Fx is always forward (of course) but +Fz is always to the right and not defined by medio-lateral or lateral-medial. So on the left foot the +Fz (left to right) direction is lateral to medial and on the right foot the +Fz is medial to lateral.
This is only one popular convention however. Sometimes Fx is vertical and Fy forward Fz is almost always left to right.
Now if we move ito the local axis set they are relative to the limb of interest and are not fixed in the global axis frame.
Therefore if we imagine that the tibia of a person standing is vertical and assigned the axis reference y the longitudinal axis of the subjects foot is assined axis x and the flexion extension axes of the ankle and knee (assume they are congruent and pin type) are assigned axis z. If the subjext now flexes his knee 90dgs, the local axis set moves thru 90dgs in the saggital plane. The z axis is uchanged but relative to the global axis the local y and x axes are changed. Now +y is forward and +x is downward, relative to the global axis, but actually in the same position relative to each other. Add some forces and moments into this and now you could start to feel your head spin. You can see why a robust system or protocoal for defining kinematic action is required to stop any ambiguity.
Robert your explanation of applied forces was spot on.
Usually when speaking of forces we talk in terms of force applied to the limb and assign the relevant sign +/-F,y,x,z. These usually start in the global axis and are roted by trigonometrical functions into the local axis set if required.
The local axis set is considered when we want to evaluate the moments about a joint in its true anatomical (local) reference.
So if we look at the moments about a knee in terms of the global reference the moments about the kne joint are expressed in terms of z axis orthoganal to the global axis, However the knee may be abducted so that the anatomical joint is 30dgs oblique to the global axis. Therefore the moment about the anatomical knee joint is changed by the trigonometrical function of 30dgs.[/glow]
<sigh>
I just knew not joining the convent for bemused middle aged women was a BIG mistake.
twirls in a wimple....
I understood this bit --->
[glow=red,2,300]Hold your right palm up so that it faces your face. Make a fist. [/glow]
Then this bit lost me ---->
[glow=red,2,300]Extend your thumb so that it points to your right. Extend your index finger so that it points vertically, extend your 3rd finger (next to youur index) so that it poit directly at you face. These fingers indicate direction and sign of the axes X, Y, Z. F denotes it is a force in that axis, the sign (+/-) denotes the direction. So imagine that someone walks in the direction of your thumb, as it is now. That is forward and +Fx, your index finger points upward in + Fy and your 3rd finger points to the right (relative to the forward direction of your thumb) = +Fz. Negative signs are obviously in the opposite directions.
Now here comes the really good bit. Direction signs of moments.
With your hand in the same position and considering the finger representing +Fz (third finger) Turn it as though you were doing up a right hand screw thread, This is +Mz. Do the same with the other fingers the direction of rotation is +Mz. Another way is to look along the finger (axis) of interest in the positive direction and the +M is a clockwise direction. +My is a positive moment on the y axis.
Not confused yet ---
Now in the global reference frame (the orientation of the room your in for instance) the directions are absolute and not related to which side of the body you view the subject from.
Therefore +Fy is always vertically upward and +Fx is always forward (of course) but +Fz is always to the right and not defined by medio-lateral or lateral-medial. So on the left foot the +Fz (left to right) direction is lateral to medial and on the right foot the +Fz is medial to lateral.
This is only one popular convention however. Sometimes Fx is vertical and Fy forward Fz is almost always left to right.
Now if we move ito the local axis set they are relative to the limb of interest and are not fixed in the global axis frame.
Therefore if we imagine that the tibia of a person standing is vertical and assigned the axis reference y the longitudinal axis of the subjects foot is assined axis x and the flexion extension axes of the ankle and knee (assume they are congruent and pin type) are assigned axis z. If the subjext now flexes his knee 90dgs, the local axis set moves thru 90dgs in the saggital plane. The z axis is uchanged but relative to the global axis the local y and x axes are changed. Now +y is forward and +x is downward, relative to the global axis, but actually in the same position relative to each other. Add some forces and moments into this and now you could start to feel your head spin. You can see why a robust system or protocoal for defining kinematic action is required to stop any ambiguity.
Robert your explanation of applied forces was spot on.
Usually when speaking of forces we talk in terms of force applied to the limb and assign the relevant sign +/-F,y,x,z. These usually start in the global axis and are roted by trigonometrical functions into the local axis set if required.
The local axis set is considered when we want to evaluate the moments about a joint in its true anatomical (local) reference.
So if we look at the moments about a knee in terms of the global reference the moments about the kne joint are expressed in terms of z axis orthoganal to the global axis, However the knee may be abducted so that the anatomical joint is 30dgs oblique to the global axis. Therefore the moment about the anatomical knee joint is changed by the trigonometrical function of 30dgs.[/glow]
<sigh>
I just knew not joining the convent for bemused middle aged women was a BIG mistake.
twirls in a wimple....