In: Physics
Consider a simple plane pendulum of mass m and length
l (the mass swings in a vertical
plane). After the pendulum is set into motion, the length of the
string is decreased at a
constant rate,
??/?? = −? = ?????. The suspension point remains fixed.
(a) Compute the Lagrangian and Hamiltonian for the system.
[4]
(b) Compare the Hamiltonian and the total energy- is the energy
conserved? Why/Why
not? [2]