APFIVE In an experiment studying the oscillation of a pendulum, the motion is modeled by $$y(t)= \sin(t) + 0.5*\sin(3*t)$$ and sample values are recorded in a table. What would happen if the frequency in the second term were doubled to $$6*t$$?
TITLE: Pendulum Oscillation Data: #000000
Time (s) | y(t) = sin(t) + 0.5sin(3t)
0 | 0
1 | ~1.2
2 | ~0.5
The amplitude of the oscillations would decrease, resulting in a smaller overall motion.
The resulting function would include higher frequency oscillations, making the overall motion more erratic.
The resulting waveform would become constant due to perfect cancellation of the oscillatory components.
The function would simplify to a single sine function with an average frequency of the two original terms.
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