If the Lagrangian L0 = \(\rm\frac{1}{2}m\left(\frac{d q}{d t}\right)^{2}−\frac{1}{2} \)mω2q2 is modified to L = L0 + αq\(\rm\left(\frac{dq}{dt}\right) \), which one of the following is TRUE?
1
Both the canonical momentum and equation of motion do not change
2
Canonical momentum changes, equation of motion does not change
3
Canonical momentum does not change, equation of motion changes
4
Both the canonical momentum and equation of motion change