In: Physics
Consider a mathematical pendulum with a support point
moving both in vertical (ξ(t)) and horizontal (η(t))
direction.
(a) Write the Lagrangian and determine the equation of motion.
Hint: Consider two dimensions.
(b) Consider small angle approximation. What are the linearized
equations of motion? Discuss two cases: 1. uniformly accelerated
vertical motion,
2. periodic horizontal motion