May8-10, 02:11 PM
I'm reading about self-sustained oscillators under the influence of harmonic forcing. The topic is introduced by studying the system in a new reference frame; one which rotates in the same direction with the frequency of the of the external force.
In this new reference frame, the oscillating force is represented by a constant vector, acting at some angle. (see pg 48 Synchronization)
At first glance, I thought the concept was trivial, but now I'm having a very hard time understanding why this would be so. Can anyone shed some light on this topic?
ps. consider this...
--A stationary point in this reference frame is one which is oscillating in the original reference frame, with the same frequency as the force.
--The force on such a point is then said to be constant.
--However, to my understanding, the force in the original reference frame varies with time, indifferent of the objects position!!
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