Summary
Samenvatting Formularium biomechanica
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Bevat al de formules die we gezien hebben tijdens de lessen biomechanica in de 1ste bachelor. Het is een handig overzicht om te gebruiken tijdens het examen.
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Formules Lineaire KinematicaLineaire verplaatsing = T, 𝛥𝑝, 𝛥𝑠, d
Valversnelling g= -10m/s2
Translatie
d = √(𝑥2 − 𝑥1 )2 + (𝑦2 − 𝑦1 )2
𝛥𝑡 = 𝑡2 −𝑡1
𝛥𝑥 = 𝑥2 −𝑥1
Lineaire snelheid
𝛥𝑝 𝑥2 −𝑥1 𝑦2 −𝑦1 𝑧2 −𝑧1
𝑣= 𝑣𝑥 = 𝑣𝑦 = 𝑣𝑧 =
𝛥𝑡 𝑡2 −𝑡1 𝑡2 −𝑡1 𝑡2 −𝑡1
Lineaire versnelling
𝛥𝑣 𝑣⃗2 −𝑣
⃗1
𝑎= 𝑎=
𝛥𝑡 𝑡2 −𝑡1
Eenparig rechtlijnige beweging
V0 = constante
𝛥𝑠 = 𝑣 ⋅ 𝛥𝑡
Eenparig versnelde rechtlijnige beweging
a= constante
𝑣 = 𝑣0 + 𝑎 ⋅ 𝛥𝑡
1
𝑠 = 𝑠0 + 𝑣0 ⋅ 𝑡 + 𝑎 ⋅ 𝛥𝑡 2
2
𝑣𝑇2 = 𝑣02 + 2 ⋅ 𝑎 ⋅ 𝛥𝑆
Trajectvergelijking van een projectiel
Eenparig cirkelvormige beweging
Ac = centripetale versnelling; W= rotationele snelheid; R= radius; 𝑣 𝑇 = tangentiële snelheid
𝑣𝑇2 𝜔2
𝑎𝑐 = 𝑎𝑐 = 𝑣𝑇 = 𝜔 ⋅ 𝑅
𝑅 𝑅
, Formules Rotationele Kinematica
Rotationele verplaatsing
Hoek is positief in tegenwijzerzin, negatief in wijzerzin
Ѳ= Absolute segmenthoek
𝑦𝑃 − 𝑦𝑑
𝜃 = atan ( )
𝑥𝑝 − 𝑥𝑑
Rotationele snelheid
Rad/s
ⅆ𝜃
𝜔=
ⅆ𝑡
Rotationele versnelling
α = angulaire versnelling
rad/s2
𝛥𝜔
𝛼=
𝛥𝑡
Constante rotationele versnelling
Formules Kinetica
Massa
M= totaalmassa menselijk lichaam; mi = deelmassa lichaamssegment
𝑀 = ∑𝑚𝑖
Deelmassa= totale lichaamsmassa • ratio
Massacentrum (Center of mass)
𝐶 𝑀𝑥 1 𝛴 𝑚𝑖 𝑥𝑖
𝑐0𝑀 = ( 0
⃗⃗⃗⃗⃗⃗⃗⃗ )= ( )
𝐶0 𝑀𝑌 𝑀 𝛴 𝑚𝑖 𝑦𝑖
Massacentrum lichaamssegment
xCoM= xdistaal+Dempster ratio tov distaal • (xproximaal – xdistaal)
yCoM= ydistaal+Dempster ratio tov distaal • (yproximaal – ydistaal)
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