boeledi
May13-04, 05:03 PM
HELP. I need to find a solution to the following problem.
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:
y1(t) = A sin(w1 t + phi1)
y2(t) = A sin(w2 t + phi2)
y3(t) = A sin(w3 t + phi3)
Question:
phi1, phi2, phi3 are the initial "positions" of the system at time t0 (it is a snapshot of the running system).
For each w : w1 < > w2 < > w3, at a certain moment of time t, we must have: y1(t) = y2(t) = y3(t)
How is it possible to obtain this time t <> t0 ?
Would there be any equation, statistical method, ... that might solve this problem ?
In advance, many thanks
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:
y1(t) = A sin(w1 t + phi1)
y2(t) = A sin(w2 t + phi2)
y3(t) = A sin(w3 t + phi3)
Question:
phi1, phi2, phi3 are the initial "positions" of the system at time t0 (it is a snapshot of the running system).
For each w : w1 < > w2 < > w3, at a certain moment of time t, we must have: y1(t) = y2(t) = y3(t)
How is it possible to obtain this time t <> t0 ?
Would there be any equation, statistical method, ... that might solve this problem ?
In advance, many thanks