[PTR/CM/02001] Generalized coordinates for a system are a set of variables having the following properties.
- The generalized coordinates \(\qbf=\{q_1,q_2,\ldots, q_n\}\), along with their time derivatives,\(\dot{\qbf}=\{\dot{q}_1,\dot{q}_2,\ldots, \dot{q}_n\}\) , describe the state of the system at a given time completely with \(n\) degrees of freedom.
- The generalized coordinates are independent, there is no constraint between them.
- The position vectors of all the bodies can be expressed as functions of generalized coordinates
[PTR/CM02001] Lagrangian} of a system is given by
\begin{equation}
L = \text{K.E.} - \text{P.E.}
\end{equation}
expressed as functions of generalized coordinates \(q\) and their time derivatives \(\dot{\qbf}\).
Exclude node summary :
n
Exclude node links:
0
4727:Diamond Point
0