  We study the Hamiltonian formalisms of the second order degenerate Cl\`ement
and Sar{\i}o\u{g}lu-Tekin Lagrangians. The Dirac-Bergmann constraint algorithm
is employed while arriving at the total Hamiltonian functions and the
Hamilton's equations on the associated momemtum phase spaces whereas the
Gotay-Nester-Hinds algorithm is run while investigating the Skinner-Rusk
unified formalism on the proper Whitney bundles.
