UNIT - III
PART A - 2 MARK QUESTIONS
1.Define phase space.
2.What is the Hamiltonian function in mechanics?
2.What is the Hamiltonian function in mechanics?
3.State Hamilton's canonical equations of motion.
4.What is the physical significance of the Hamiltonian function in a mechanical system?
5.What is a variational principle in Hamiltonian mechanics?
4.What is the physical significance of the Hamiltonian function in a mechanical system?
5.What is a variational principle in Hamiltonian mechanics?
PART B - 5 MARK QUESTIONS
1.Explain the concept of phase space and its significance in Hamiltonian mechanics.
2.Define the Hamiltonian function H and describe its role in representing the total energy of a system.
3.State and explain Hamilton’s canonical equations of motion for a simple system.
4.What is the physical significance of the Hamiltonian in classical mechanics? Discuss briefly.
PART C - 10 MARK QUESTIONS
1.Derive Hamilton's canonical equations from the variational principle.
2.Discuss the application of Hamilton's equations of motion to a compound pendulum. Derive and solve the equation of motion for the system.