Biomechanics and Medicine in Swimming XI
Biomechanics and Medicine in Swimming XI
Biomechanics and Medicine in Swimming XI
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<strong>Biomechanics</strong><strong>and</strong>medic<strong>in</strong>e<strong>in</strong>swimm<strong>in</strong>gXi<br />
Table 2. K<strong>in</strong>ematic variables for projective motion.<br />
Phase Symbol Unit Explanation<br />
Set position<br />
Acceleration<br />
Take-off<br />
Flight<br />
136<br />
Px m<br />
Py m<br />
Horizontal position of CM from the front<br />
edge of the platform<br />
Vertical position of CM from the water<br />
surface<br />
θ_knee deg Angle of knee jo<strong>in</strong>t at the set position<br />
θ_ankle deg Angle of ankle jo<strong>in</strong>t at the set position<br />
θ_before deg<br />
Mean pre-projection angle on velocity<br />
vector of CM dur<strong>in</strong>g 0.3 second just before<br />
to the take-off<br />
Ax_before m/s 2 Mean horizontal acceleration of CM dur<strong>in</strong>g<br />
0.3 second just before the take-off<br />
Ay_before m/s 2 Mean vertical acceleration of CM dur<strong>in</strong>g<br />
0.3 second just before the take-off<br />
T_take-off sec<br />
θ_take-off deg<br />
θ_body deg<br />
Time duration from start<strong>in</strong>g signal to<br />
take-off<br />
Angle of the velocity vector of CM at the<br />
take-off<br />
Angle of CM connected with the front<br />
edge of platform <strong>and</strong> the horizontal l<strong>in</strong>e at<br />
the take-off<br />
V_take-off m/s Velocity of CM at the take-off<br />
Vx_take-off m/s Horizontal velocity of CM at the take-off<br />
Vy_take-off m/s Vertical velocity of CM the take-off<br />
D_flight m<br />
Distance of flight (horizontal distance from<br />
the wall to f<strong>in</strong>gertip contact with water<br />
surface)<br />
Vx_flight m/s Mean horizontal velocity dur<strong>in</strong>g flight<br />
CM<br />
Ax_before<br />
ƒ Æ_before CM Vx_take-off<br />
Ay_before<br />
ƒ Æ_take-off<br />
Vy_take-off<br />
V_take-off<br />
ƒ Æ_body<br />
CM<br />
Vx_flight<br />
dVx/dt<br />
CM<br />
dVy/dt<br />
Ax_before<br />
(Vx_before)<br />
ƒ Æ_before CM Vx_take-off<br />
Ay_before<br />
(Vy_before)<br />
Px, Py<br />
ƒ Æ_knee<br />
(V_before)<br />
ƒ Æ_take-off<br />
Vy_take-off<br />
V_take-off<br />
ƒ Æ_ankle<br />
ƒ Æ_body<br />
CM<br />
Vx_flight<br />
dVx/dt<br />
CM<br />
dVy/dt<br />
Ax_before<br />
(Vx_before)<br />
ƒ Æ_before<br />
Ay_before<br />
(Vy_before)<br />
(V_before)<br />
dVx/dt<br />
dVy/dt<br />
(Vx_before)<br />
(Vy_before)<br />
Px, Py<br />
ƒ Æ_knee<br />
(V_before)<br />
ƒ Æ_ankle<br />
Back plate 35 deg<br />
Platform 10 deg Height 0.75m<br />
(0,0)<br />
D_flight<br />
T_take-off<br />
Acceleration Flight<br />
Set position Take-off Entry<br />
Figure 1. Diagrammatic representation of k<strong>in</strong>ematic variables.<br />
BKP was plantar-flexed <strong>and</strong> positioned significantly wider than one <strong>in</strong><br />
CON (76.4±7.2º). Dur<strong>in</strong>g the last 0.3 second before to the take-off <strong>in</strong><br />
the acceleration phase, the mean pre-projection angle of CM <strong>in</strong> BKP<br />
was -6.7±4.4º. It was significantly nearer to the horizontal than that <strong>in</strong><br />
CON (-8.2±4.3º). Mean horizontal acceleration <strong>in</strong> BKP was 8.76±0.87<br />
m/s 2 . It was significantly larger than that <strong>in</strong> CON (7.96±0.79 m/s 2 ). On<br />
the other h<strong>and</strong>, mean vertical acceleration <strong>in</strong> BKP was 0.16±1.13 m/s 2 .<br />
It was near to the zero than that <strong>in</strong> CON (-0.58±0.79 m/s 2 ). At take-off,<br />
projection angle of CM <strong>in</strong> BKP was -8.2±5.2º. It was significantly more<br />
close to the horizontal <strong>and</strong> larger than that <strong>in</strong> CON (-10.5±4.9º). Verti-<br />
cal velocity of CM at the take-off <strong>in</strong> BKP was -0.65±0.45 m/s. It was<br />
near to the zero than that <strong>in</strong> CON (-0.81±0.45 m/s). In other items for<br />
the take-off (T_take-off, θ_body, V_take-off <strong>and</strong> Vx_take-off ), significant<br />
differences were not observed between start<strong>in</strong>g conditions. Dur<strong>in</strong>g<br />
flight phase, non-significant differences were also perceived. The ma<strong>in</strong><br />
results of this study are shown <strong>in</strong> Table 3.<br />
Table 3. K<strong>in</strong>ematic variables compared between conventional <strong>and</strong> <strong>in</strong><br />
back plate start<strong>in</strong>g conditions.<br />
Phase Symbol Unit<br />
Set<br />
position<br />
Accele-<br />
ration<br />
Take-<br />
off<br />
Flight<br />
CON BKP<br />
Significant<br />
Mean S.D Mean S.D Difference<br />
Px m -0.253 ± 0.054 -0.205 ± 0.054 ***<br />
Py m 1.355 ± 0.031 1.367 ± 0.029 **<br />
θ_knee (front) deg 145.5 ± 8.0 140.1 ± 5.7 **<br />
θ_knee (rear) deg 97.1 ± 11.4 84.3 ± 11.3 ***<br />
θ_ankle (front) deg 147.1 ± 10.5 140.6 ± 8.4 **<br />
θ_ankle (rear) deg 76.4 ± 7.2 104.1 ± 8.4 ***<br />
θ_before deg -8.2 ± 4.3 -6.7 ± 4.4 *<br />
Ax_before m/s 2 7.96 ± 0.79 8.76 ± 0.87 *<br />
Ay_before m/s 2 -0.58 ± 0.79 0.16 ± 1.13 **<br />
T_take-off sec 0.784 ± 0.033 0.764 ± 0.046 N.S.<br />
θ_take-off deg -10.5 ± 4.9 -8.2 ± 5.2 *<br />
θ_body deg 20.5 ± 5.4 20.9 ± 5.9 N.S.<br />
V_take-off m/s 4.47 ± 0.30 4.41 ± 0.32 N.S.<br />
Vx_take-off m/s 4.38 ± 0.22 4.34 ± 0.26 N.S.<br />
Vy_take-off m/s -0.81 ± 0.45 -0.65 ± 0.45 *<br />
D_flight m 3.00 ± 0.19 2.99 ± 0.18 N.S.<br />
Vx_flight m/s 4.48 ± 0.16 4.46 ± 0.17 N.S.<br />
* p < 0.05, ** p < 0.01, *** p < 0.001<br />
dIscussIon<br />
At the set position, the CM at the back plate condition is displaced to<br />
comparatively anterior position regard<strong>in</strong>g the CON. It was <strong>in</strong> agreement<br />
with study of squatt<strong>in</strong>g-to-st<strong>and</strong><strong>in</strong>g movement that heel elevation<br />
primarily <strong>in</strong>fluenced postural adjustment as anterior displacement<br />
of the hip (Sriwarno et al., 2008). In the back plate condition, the rear<br />
knee jo<strong>in</strong>t angle obta<strong>in</strong>ed a value close to the 90º. The knee angle of the<br />
posterior leg was recommended 90º by a manufacturer of start<strong>in</strong>g blocks<br />
with back plate that approved by FINA. However, isometric force-angle<br />
relationship of knee extension reported that higher force is produced at<br />
105º to 120º than <strong>in</strong> other jo<strong>in</strong>t angle conditions (L<strong>in</strong>dahl et al., 1969).<br />
Moreover, the relationship isometric knee-hip extension force <strong>and</strong> the<br />
percentage of leg length that was criterion of the knee flexion had <strong>in</strong>vestigated.<br />
The force exhibited a peak when the foot position was at<br />
80-90% of leg length (Yamauchi et al., 2007). If this ratio was angle<br />
converted, it became about 106º to 128º. Therefore, at the set position <strong>in</strong><br />
the back plate condition, the rear knee jo<strong>in</strong>t should be extended a little<br />
more. As a result, CM moved ahead slightly.<br />
It seemed that the θ_before <strong>in</strong> BKP approached horizontally was a<br />
preferable effect with back plate, because mov<strong>in</strong>g CM fast to the forward<br />
direction was one important factor for a faster start (Guimarães<br />
& Hay, 1985). It was supported by Ax_before <strong>in</strong> BKP which was grater<br />
than one <strong>in</strong> CON <strong>and</strong> Ay_before <strong>in</strong> BKP was approximat<strong>in</strong>g to become<br />
zero. The force distribution on the start<strong>in</strong>g block had reported that a<br />
higher force at last stage of the start movement, <strong>and</strong> force gradually<br />
became lower until take-off (Krüger et al., 2003). It was considered