APFIVE Bounded Rotational Oscillation
A student applies a time-varying torque $$\tau(t) = \tau_0 \sin(\omega t)$$ to a uniform disk that starts from rest. Under what condition will the disk’s angular velocity remain bounded and oscillate, instead of increasing indefinitely?
A
A torque opposing motion that is proportional to angular velocity acts
B
The initial torque amplitude $$\tau_0$$ is very small
C
The frequency of applied torque matches the disk’s natural frequency
D
The disk’s moment of inertia increases and decreases with time
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