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Figure 2


Fig. 2. Vertical displacement during contact. (A) Old subjects, (B) young subjects, with data from A (gray) superposed for comparison. The upward and downward vertical displacements of the centre of mass taking place when the foot is in contact with the ground (Sc) are divided by the total upward and downward vertical displacements (Sv) to obtain the fraction of the vertical displacement during contact (Sc/Sv). The fractions so obtained, are plotted separately during the lift (Sc,up/Sv,up; open circles) and during the descent (Sc,down/Sv,down; filled circles). The vertical bars indicate the standard deviation (s.d.) of the mean; numbers near the symbols indicate the number of items in the mean. Lines represent the weighted mean of all the data (Kaleidagraph 4.03). Their only purpose is to be a guide for the eye: they do not describe the underlying physical mechanism. Note that at very low speeds Sc/Sv{approx}1 because the aerial phase is often nil (e.g. Fig. 1A,B). With increasing speed an aerial phase of progressively greater extent takes place during the step and the fraction of vertical displacement during contact decreases. The decrement is less during the lift than during the descent (i.e. during the aerial phase the lift is smaller than the fall). This is particularly true in the old subjects who maintain contact with the ground for almost the whole of the lift (see also light-blue dotted lines in Fig. 3). It must be pointed out here that heel-strike and toe-off, i.e. start and end of foot contact, do not properly describe landing and take-off of the bouncing system. As described in the text, landing and take-off, in a physical sense, coincide with the instants where vertical force becomes greater than body weight (after heel strike) and falls below body weight (before toe-off). The correct landing–take-off asymmetry of the bouncing system is described in Fig. 3.





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