A problem on COM

Classical Mechanics Level 3

1m 1.1m 1.25m 1.5m 0.8m 1.08m 1.75m 0.75m

Sumanth Hegde by Sumanth Hegde , 20, India

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1 solution

Steven Chase
Oct 17, 2018 

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import math

AC = 2.0
BC = 1.0
AB = math.sqrt(AC**2.0 - BC**2.0)

angBCA = math.atan(AB/BC)
angBAC = math.pi - math.pi/2.0 - angBCA

Ax = 0.0
Ay = 0.0

Bx = AB * math.cos(angBAC)
By = AB * math.sin(angBAC)

Cx = 2.0
Cy = 0.0

Dx = Bx
Dy = -By

Ex = (Ax + Bx) / 2.0
Ey = (Ay + By) / 2.0

Fx = (Bx + Cx) / 2.0
Fy = (By + Cy) / 2.0

Gx = Ex
Gy = -Ey

Hx = Fx
Hy = -Fy

COMx = (AB * Ex + AB * Gx + BC * Fx + BC * Hx + AC * AC/2.0) / (2.0*AB + 2.0*BC + AC)

print COMx

# Answer is 1.08493649054

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