A flywheel has a mass M and radius of gyration k_G about an axis of rotation passing through its mass center. If a motor supplies a clockwise torque having a magnitude M = kt, determine the flywheel’s angular veliocity at time t₁. Initially the flywheel is rotating clockwise at angular velocity ω₀.

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Given: M = 60 kg kG = 150 mm N-m S k = 5. t1 = 3 s 000 = 2 rad S