Question

6
S
ý =
Home Wook
# Given the Lagrangian Lcovery.ý) = mä?
നറ്റ്
where is day and j - dust
ay
at
are generalised velocities:
(a) show that the above Lagrangian is singular.
(67 show that the canonical Hamiltonian is zero.
(c? Find out the constraints on this theory which is described by the
.
( d) Find out the EL-EOMs as well as the Hamilton equation of
)
Lagrangian G)
motion​

Answer 1

A Lagrangian is degenerate when the Hessian matrix whose elements consist of all the second‐order derivatives of the Lagrangian with respect to the generalized velocities has (for simplicity) a constant singular