1 TÜRKİYE PROFESYONEL LİGLERİNDE GÖREV ... - Spor Bilim

dF
2
= k D V dr . (8)
a2 a 2 a2
Here 2 D is the diameter of the arm segment. For the whole arm segment a 2 , the total
propulsive force becomes
F
La2
2
= k D V dr . (9)
a2 ò
0
a 2 a2
Substituting the velocity term from Equation (7) in Equation (9) and integrating we obtain
é4
2 2 3 2 2 2 2 2 2 2 2
Fa k= D
2 af ê
Lp s
2 2i n+ b4 2 af LpLa s + ibn 1 a s i gn 1 a 4 f pL 2 a L sgi n
ë 3
D 2
y
c. The Hand
l
2 2 2
-2fLV p a bsinsin4fLLVsinsinLVsin 2 b - q
1 a ap +
2 b g
2a
q b q ù
û
b
dr
g
r
z x
shoulder
L a1 sin g
elbow
wrist
front view left side view
Figure 4. The forearm
The perpendicular distance from the center of the hand to the z axis, l 3 , is given by
Lhsinb
= La
sing
+ La
sinb
+ , (11)
1
2
3 2
where L h is the length of the hand. Hence the velocity of the hand takes the form
é
Lhsin
b ù
= 2p
f êLa
sing
+ La
sinb
+ -V
sinq
1
ú . (12)
ë
2 û
Vh 2
b
The propulsive force for the hand is given by
q
a 2
y
(10)