Physics, 22.01.2021 20:10 annadel742
Using the usual angle θ as generalized coordinate, write down the Lagrangian for a simple pendulum of length I suspended from the ceiling of an elevator that is accelerating upward with constant acceleration a. (Be careful when writing T; it is probably safest to write the bob's velocity in component form.) Find the Lagrange equation of motion and show that it is the same as that for a normal, nonaccelerating pendulum, except that g has been replaced by g + a. In particular, the angular frequency of small oscillations is ((g + a)/l)^2.
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Using the usual angle θ as generalized coordinate, write down the Lagrangian for a simple pendulum o...
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