AP Physics C Mechanics Quiz
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OSCILLATIONS
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A physical system undergoes oscillatory motion described by
x
(
t
)
=
A
e
−
γ
t
cos
(
ω
t
)
x(t) = A e^{-\gamma t} \cos(\omega t)
x
(
t
)
=
A
e
−
γ
t
cos
(
ω
t
)
. Is this simple harmonic motion?
A
Yes, because the motion contains a cosine function which is the mathematical signature of simple harmonic motion in all cases
B
Yes, because the angular frequency
ω
\omega
ω
is constant, indicating that the restoring force follows Hooke's law exactly
C
No, because the exponentially decreasing amplitude indicates the presence of damping forces that violate the SHM force condition
D
No, because the phase of the oscillation changes with time due to the exponential factor affecting the timing
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