HELP. I need to find a solution to the following problem.(adsbygoogle = window.adsbygoogle || []).push({});

3 totally independent pendulums oscillate with 3 distinct pulsations. There is no mention of any gravity, ... => the motion is infinite.

The 3 pendulums have the very same amplitude (A).

We then consider the following equation:

y = A sin(w t + phi)

Therefore, we obtain:

y_{1}(t) = A sin(w_{1}t + phi_{1})

y_{2}(t) = A sin(w_{2}t + phi_{2})

y_{3}(t) = A sin(w_{3}t + phi_{3})

Question:

phi_{1}, phi_{2}, phi_{3}are the initial "positions" of the system at time t_{0}(it is a snapshot of the running system).

For each w : w_{1}< > w_{2}< > w_{3}, at a certain moment of time t, we must have: y_{1}(t) = y_{2}(t) = y_{3}(t)

How is it possible to obtain this time t <> t_{0}?

Would there be any equation, statistical method, ... that might solve this problem ?

In advance, many thanks

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# 3 pendulums problem

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