Classical Dynamics

• Generating function for the transformation

• arbitrary function for the transformation

• canonical transformation

• new hamiltonian function

The other name of Mathieu transformation is

• homogenous transformation

• homogenous canonical transformation

• contact transformation

• conduct transformation

The equation that represent a mapping of points in configuration space is

• a) canonical transformation

• b) point transformation

• c) extended point transformation

• d) none of these

The Brachistochrone problem is one of the classical problems of the calculus of variations (Say true/false)

Geodesic problem is the problem of finding ------------

• path between two points in the given space

• normal path between two points in the given space

• shortest path between two points in the given space

• longest path between two points in the given space

Geodesic is not a great circle(Say true/false)

H(q,p,t) is known as ---------- function

For a natural system,H is constant in value and equal to --------

Every conservative system, holonomic or nonholonomic has a constant ----------function