Consider a mathematical pendulum with a support point moving both in vertical (ξ(t)) and horizontal (η(t))...

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

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genius_generous answered 2 years ago

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Consider a mathematical pendulum with a support point moving both in vertical (ξ(t)) and horizontal (η(t))...

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