cg |
= |
Center of gravity |
p |
= |
Pivot point |
| | |
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= |
X coorordinate of center of gravity |
| | |
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= |
First derivative of
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| | |
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= |
Second derivative of
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| | |
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= |
Y coorordinate of center of gravity |
| | |
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= |
First derivative of
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| | |
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= |
Second derivative of
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| | |
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= |
X coordinate of pivot point. |
| | Note positive
is toward right. |
| | |
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= |
First derivative of
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| | |
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= |
Second derivative of
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| | |
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= |
Y coordinate of pivot point. |
| | |
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= |
First derivative of
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| | |
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= |
Second derivative of
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H |
= |
Force in Horizontal direction. |
V |
= |
Force in Vertical direction. |
 |
= |
1/2 length of pendulum |
m |
= |
mass of pendulum |
 |
= |
Angle of pendulum measured from vertical. |
| | Note positive
is taken as clockwise. |
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= |
Viscous damping constant. |
I |
= |
moment of inertia for pendulum (
for uniform rod)
|