Consider a mathematical pendulum with a support point moving both in vertical (ξ(t)) and horizontal (η(t)) direction. (a)...
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Consider a mathematical pendulum with a support pointmoving 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 linearizedequations of motion? Discuss two cases: 1. uniformly acceleratedvertical motion,
2. periodic horizontal motion
Consider a mathematical pendulum with a support pointmoving 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 linearizedequations of motion? Discuss two cases: 1. uniformly acceleratedvertical motion,
2. periodic horizontal motion
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