The small cylinder C has mass mC and is attached to the end of a rod whose mass may be neglected. If the frame is subjected to a couple M = at² + b, and the cylinder is subjected to force F, which is always directed as shown, determine the speed of the cylinder when t = t₁. The cylinder has a speed v0 when t = 0.

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Given: mc = 10 kg a = 8 N m b = 5 N-m F = 60 N t1 = 2 s Vo = 2 ES e = 4 f = 3 m d = 0.75 m ▶M = (ar² + b)