Mechanical energy is constant¶
Mechanical energy is constant in a system that has only gravitational forces or in an otherwise idealized system — that is, one lacking dissipative forces, such as friction and air resistance, or one in which such forces can be reasonably neglected.
Notes:
SymPy does not have a proper way to represent constant energy. We use it’s derivative over time instead. Derivative of the constant value is zero.
Links:
- Symbol:
t- Latex:
\(t\)
- Dimension:
time
- mechanical_energy¶
mechanical_energyas a function oftime.
- Symbol:
E(t)- Latex:
\(E{\left(t \right)}\)
- Dimension:
energy
- law¶
Derivative(E(t), t) = 0- Latex:
- \[\frac{d}{d t} E{\left(t \right)} = 0\]