This section collects and defines all the data needed to build the instance models.
Refname | DD:positionIX |
Label | x-component of initial position |
Symbol | pxi |
Units | m |
Equation | pxi=Lrodsin(θi) |
Description | - pxi is the x-component of initial position (m)
- Lrod is the length of the rod (m)
- θi is the initial pendulum angle (rad)
|
Notes | - pxi is the horizontal position
- pxi is shown in Fig:sglpend.
|
Source | – |
RefBy | |
Refname | DD:positionIY |
Label | y-component of initial position |
Symbol | pyi |
Units | m |
Equation | pyi=−Lrodcos(θi) |
Description | - pyi is the y-component of initial position (m)
- Lrod is the length of the rod (m)
- θi is the initial pendulum angle (rad)
|
Notes | - pyi is the vertical position
- pyi is shown in Fig:sglpend.
|
Source | – |
RefBy | |
Refname | DD:frequencyDD |
Label | Frequency |
Symbol | f |
Units | Hz |
Equation | f=1T |
Description | - f is the frequency (Hz)
- T is the period (s)
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Notes | - f is the number of back and forth swings in one second
|
Source | – |
RefBy | GD:periodPend, GD:angFrequencyGD, and DD:periodSHMDD |
Refname | DD:angFrequencyDD |
Label | Angular frequency |
Symbol | Ω |
Units | s |
Equation | Ω=2πT |
Description | - Ω is the angular frequency (s)
- π is the ratio of circumference to diameter for any circle (Unitless)
- T is the period (s)
|
Notes | |
Source | – |
RefBy | GD:periodPend |
Refname | DD:periodSHMDD |
Label | Period |
Symbol | T |
Units | s |
Equation | T=1f |
Description | - T is the period (s)
- f is the frequency (Hz)
|
Notes | |
Source | – |
RefBy | GD:periodPend and DD:angFrequencyDD |