APFIVE Angular Velocity from Time-Varying Torque
A system consists of two masses connected by a light rod that can rotate about an axis through its center. Initially at rest, the system experiences a time-varying torque given by τ(t) = kt², where k is a constant. What is the angular velocity after time T?
A
kT²/2I
B
kT²/I
C
kT³/3I
D
kT/I
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