The circular disk has weight W and is mounted on the shaft AB at angle with

The circular disk has weight W and is mounted on the shaft AB at angle θ with the horizontal. Determine the angular velocity of the shaft when t = t₁ if a constant torque M is applied to the shaft. The shaft is originally spinning with angular velocity ω1 when the torque is applied.

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Given: W = 15 lb 9 = 45 deg t₁ = 3 s M = 2 lb-ft @1 = 8 rad S r = 0.8ft 8 = 32.2 2 S