Assignment:
A mass m is suspended by a massless spring of spring constant k and unstretched length b. The suspension point has a constant upward acceleration a(0 subscript of a). Gravity is acting vertically downward. Find the Lagrangian and Hamiltonian functions and obtain Hamilton's equations of motion. What is the period of motion?
The Poisson Brackets
Question 1. Determine the Poisson brackets formed from the Cartesian components of the momentum p and the angular momentum
L = r * p. HINT( * IS THE MULTIPLICATION SYMBOL)
The Lagrangian Formulation of Mechanics section
Question 2. Three uniform rods AB,BC,CD, each of mass m and length 2b, are smoothly hinged at B and C. This system is suspended from end A. A horizontal force F is applied at the other end, D. Find the equilibrium configuration.