This section collects and defines all the data needed to build the instance models.
| Refname | DD:positionGDD |
|---|
| Label | Velocity |
| Symbol | \(\boldsymbol{v}\text{(}t\text{)}\) |
| Units | \(\frac{\text{m}}{\text{s}}\) |
| Equation | \[\boldsymbol{v}\text{(}t\text{)}=\frac{\,d\boldsymbol{p}\text{(}t\text{)}}{\,dt}\] |
| Description | - \(\boldsymbol{v}\text{(}t\text{)}\) is the velocity (\(\frac{\text{m}}{\text{s}}\))
- \(t\) is the time (\({\text{s}}\))
- \(\boldsymbol{p}\text{(}t\text{)}\) is the position (\({\text{m}}\))
|
| Source | – |
| RefBy | GD:velocityY2, GD:velocityY1, GD:velocityX2, and GD:velocityX1 |
| Refname | DD:positionXDD1 |
|---|
| Label | Horizontal position of the first object |
| Symbol | \({p_{\text{x}1}}\) |
| Units | \({\text{m}}\) |
| Equation | \[{p_{\text{x}1}}={L_{1}}\,\sin\left({θ_{1}}\right)\] |
| Description | - \({p_{\text{x}1}}\) is the horizontal position of the first object (\({\text{m}}\))
- \({L_{1}}\) is the length of the first rod (\({\text{m}}\))
- \({θ_{1}}\) is the angle of the first rod (\({\text{rad}}\))
|
| Notes | - \({p_{\text{x}1}}\) is the horizontal position
- \({p_{\text{x}1}}\) is shown in Fig:dblpend.
|
| Source | – |
| RefBy | GD:velocityX1 |
| Refname | DD:positionYDD1 |
|---|
| Label | Vertical position of the first object |
| Symbol | \({p_{\text{y}1}}\) |
| Units | \({\text{m}}\) |
| Equation | \[{p_{\text{y}1}}=-{L_{1}}\,\cos\left({θ_{1}}\right)\] |
| Description | - \({p_{\text{y}1}}\) is the vertical position of the first object (\({\text{m}}\))
- \({L_{1}}\) is the length of the first rod (\({\text{m}}\))
- \({θ_{1}}\) is the angle of the first rod (\({\text{rad}}\))
|
| Notes | - \({p_{\text{y}1}}\) is the vertical position
- \({p_{\text{y}1}}\) is shown in Fig:dblpend.
|
| Source | – |
| RefBy | GD:velocityY1 |
| Refname | DD:positionXDD2 |
|---|
| Label | Horizontal position of the second object |
| Symbol | \({p_{\text{x}2}}\) |
| Units | \({\text{m}}\) |
| Equation | \[{p_{\text{x}2}}={p_{\text{x}1}}+{L_{2}}\,\sin\left({θ_{2}}\right)\] |
| Description | - \({p_{\text{x}2}}\) is the horizontal position of the second object (\({\text{m}}\))
- \({p_{\text{x}1}}\) is the horizontal position of the first object (\({\text{m}}\))
- \({L_{2}}\) is the length of the second rod (\({\text{m}}\))
- \({θ_{2}}\) is the angle of the second rod (\({\text{rad}}\))
|
| Notes | - \({p_{\text{x}2}}\) is the horizontal position
- \({p_{\text{x}2}}\) is shown in Fig:dblpend.
|
| Source | – |
| RefBy | GD:velocityX2 |
| Refname | DD:positionYDD2 |
|---|
| Label | Vertical position of the second object |
| Symbol | \({p_{\text{y}2}}\) |
| Units | \({\text{m}}\) |
| Equation | \[{p_{\text{y}2}}={p_{\text{y}1}}-{L_{2}}\,\cos\left({θ_{2}}\right)\] |
| Description | - \({p_{\text{y}2}}\) is the vertical position of the second object (\({\text{m}}\))
- \({p_{\text{y}1}}\) is the vertical position of the first object (\({\text{m}}\))
- \({L_{2}}\) is the length of the second rod (\({\text{m}}\))
- \({θ_{2}}\) is the angle of the second rod (\({\text{rad}}\))
|
| Notes | - \({p_{\text{y}2}}\) is the vertical position
- \({p_{\text{y}2}}\) is shown in Fig:dblpend.
|
| Source | – |
| RefBy | GD:velocityY2 |
| Refname | DD:accelerationGDD |
|---|
| Label | Acceleration |
| Symbol | \(\boldsymbol{a}\text{(}t\text{)}\) |
| Units | \(\frac{\text{m}}{\text{s}^{2}}\) |
| Equation | \[\boldsymbol{a}\text{(}t\text{)}=\frac{\,d\boldsymbol{v}\text{(}t\text{)}}{\,dt}\] |
| Description | - \(\boldsymbol{a}\text{(}t\text{)}\) is the acceleration (\(\frac{\text{m}}{\text{s}^{2}}\))
- \(t\) is the time (\({\text{s}}\))
- \(\boldsymbol{v}\text{(}t\text{)}\) is the velocity (\(\frac{\text{m}}{\text{s}}\))
|
| Source | – |
| RefBy | |
| Refname | DD:forceGDD |
|---|
| Label | Force |
| Symbol | \(\boldsymbol{F}\) |
| Units | \({\text{N}}\) |
| Equation | \[\boldsymbol{F}=m \boldsymbol{a}\text{(}t\text{)}\] |
| Description | - \(\boldsymbol{F}\) is the force (\({\text{N}}\))
- \(m\) is the mass (\({\text{kg}}\))
- \(\boldsymbol{a}\text{(}t\text{)}\) is the acceleration (\(\frac{\text{m}}{\text{s}^{2}}\))
|
| Source | – |
| RefBy | |