Angles to XY Coordinates

The equations of motion for the first two stages of the trebuchet given in the Equations of Motion section are used to find the angles (Aq, Wq, Sq) of the trebuchet over time. These angles can be used to find the Cartesian coordinates of the different parts of the trebuchet.

Angles and Lengths Trebuchet Points

Weight CG:

X = LAs*SIN(Aq) + LW*SIN(Aq+Wq)

Y = -LAs*COS(Aq) - LW*COS(Aq+Wq)

Weight/Arm Point:

X = LAs*SIN(Aq)

Y = -LAs*COS(Aq)

Arm CG:

X = -LAcg*SIN(Aq)

Y = LAcg*COS(Aq)

Arm/Sling Point:

X = -LAl*SIN(Aq)

Y = LAl*COS(Aq)

Projectile:

X = -LAl*SIN(Aq) - LS*SIN(Aq+Sq)

Y = LAl*COS(Aq) + LS*COS(Aq+Sq)

Units
Length of Short Arm	ft
Length of Long Arm	ft
Length of Sling	ft
Length of Weight	ft
Height of Pivot	ft

Uniform arm
Mass of Arm	lb
Inertia of Arm	lb·ft²
Pivot to Arm CG	ft

Mass of Weight	lb
Inertia of Weight	lb·ft²

Projectile
Mass of Projectile	lb
Projectile Diameter	ft
Wind Speed	ft/s

Release Angle	°

Play speed: 1x

Link to save this trebuchet

Angles to XY Coordinates

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VirtualTrebuchet 2.0