The angular acceleration of the simple pendulum.
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SOLVED: A pendulum of mass m and length l is fixed to the ceiling of acar. What is the angular frequency ω if the car is moving in thehorizontal direction with uniform acceleration a?
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A pendulum consists of a mass M at the end of a massless string of length D. It is free to swing in one direction only, so has one degree of freedom, θ. The frequency of small oscillations is ω0=√(2), with g being the acceleration of gravity. Now suppose the string is very slowly shortened by some external agent. The length D varies only a little during the oscillation period. You can assume that θ(t)=A cosωt, where A, ωvary slowly with time but can be treated as constants over times of the orde
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