Angular Velocity from Time-Varying Torque
A system consisting of two masses connected by a light rod is free to rotate about an axis through its center. If the system is initially at rest and is subjected to a time-varying torque τ(t) = kt², where k is a constant, what is its angular velocity at time T?
A
kT/I
B
kT²/I
C
kT³/3I
D
kT²/2I
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