Biomechanics. Ron Kipp Alpine Sport Education Manager
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1 Biomechanics Ron Kipp Alpine Sport Education Manager
2 Turns can be any part of a circle
3 Turns can be any part of a circle
4 Turns can be any part of a circle
5 Turns can be any part of a circle
6 Turns can be any part of a circle
7 Why do we feel the most force in the arc? Fastest Slowest
8 if the radius (r) is a 20 m arc, and it is reduced to a 15 m arc, then Fc is increased 25% F c = V 2 r
9 ...because there is more centripetal force!
10 if the velocity (v) is 10 m/s, and it is increased to a 14 m/s, then Fc is doubled! F c = V 2 r 10 m/s = 22.3 mph 14 m/s = 31.3 mph
11 Do we increase speed? or Minimize loss?
12 Total Energy Loss* (%) air drag force 21.4 ± 2.2 snow reaction force 78.6 ± 2.2 Total Energy Gain* (%) gravitational force 97.9 ± 0.8 snow reaction force 2.1 ± 0.8 *13m course
13 Sir Isaac Newton
14 st law: Lex I: Corpus omne perseverare in statu suo quiescendi vel movendi uniformiter in directum, nisi quatenus a viribus impressis cogitur statum illum mutare. Every body perseveres in its state of being at rest or of moving uniformly straight forward, except insofar as it is compelled to change its state by force impressed. To turn, the snow has to push back!
15 st Law:
16 a body in motion stays in motion... unless acted upon by an external force.
17 a body in motion stays in motion... unless acted upon by an external force.
18 a body in motion stays in motion... unless acted upon by an external force.
19 The Turn Centripetal Force
20 Centripetal Force
21 Paradox? Centripetal Force Friction
22
23
24
25
26 Total Energy Loss* (%) air drag force 21.4 ± 2.2 snow reaction force 78.6 ± 2.2
27 st law: Lex I: Corpus omne perseverare in statu suo quiescendi vel movendi uniformiter in directum, nisi quatenus a viribus impressis cogitur statum illum mutare. Every body perseveres in its state of being at rest or of moving uniformly straight forward, except insofar as it is compelled to change its state by force impressed. To turn, the snow has to push back!
28 rd law: Lex III: Actioni contrariam semper et æqualem esse reactionem: sive corporum duorum actiones in se mutuo semper esse æquales et in partes contrarias dirigi. For a force there is always an equal and opposite reaction: or the forces of two bodies on each other are always equal and are directed in opposite directions. To rotate the skis to the left, something has to rotate to the right!
29 hmmm, something left equaling something right?
30
31 the torque on the left = the torque on the right 3 ft * 6 lbs = 6 ft * 3 lbs 18 ft lbs = 18 ft lbs
32 2/3 of total body mass 1/3 3 rd law angular analogue: For every torque exerted by one body on another, there is an equal and opposite torque exerted by the second body on the first.
33 A skier can stabilize from the ground,
34 can stabilize from the upper body
35 Skiers rotate or counter-rotate because they need a turning impetus
36 Skiers rotate because they need a turning impetus or force. Where is there more mass?
37 1/3 2/3 of total body mass
38 We move relative to our own body
39 We ski in 3d space Z [m] Y [m] CAM 2 CAM 1 CAM 4 CAM 3 X [m]
40
41 rd law: Lex III: Actioni contrariam semper et æqualem esse reactionem: sive corporum duorum actiones in se mutuo semper esse æquales et in partes contrarias dirigi. For a force there is always an equal and opposite reaction: or the forces of two bodies on each other are always equal and are directed in opposite directions. To rotate the skis to the left, something has to rotate to the right!
42
43 = Center- of- Pressure
44 Fore 30 Fore/Aft Position [cm] AFT Aft % Turn Cycle
45
46 Smooth fore to aft movement. FAST Hanging out on the tip! SLOW
47 r = 0.98 p = 0.004
48 Center- of- Pressure
49
50
51 Center- of- Pressure
52
53 using the boot TO balance. FOR balance.
54 Fore/Aft Balance
55 Tip Pressure
56 1 st Class Lever Force Axis Resistance
57 the perfect fore/aft position
58
59
60
61
62
63
64
65
66 The boot will not transmit force to the ski until it reaches its end range- of- motion in flexion. balance is reduced. The skier ends up having flexion but nothing has been transmitted to the ski.
67
68 the snow that is ultimately balance.
69 How will the tips get back on the snow?
70
71
72
73
74 The skier needs to keep the anterior muscles innervated. flexed.
75 Important Points: Turns can be any shape Turn shape, size and speed effect C f Rotation left needs to be balanced with rotation to the right. Fore/aft movement need to be smooth to be fast. Tip pressure occurs when the skier can apply their body mass that direction.
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