The cylinder of weight W₁ is attached to the slender rod of weight W₂ which is pinned at point A. At the instant θ = θ₀ the rod has an angular velocity ω₀ as shown. Determine the angle θ_f to which the rod swings before it momentarily stops.

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Given: W₁ = 80 lb W2 W₂ = 10 lb 000 = 1 rad S 00 = 30 deg a = 1 ft b = 2 ft 1 = 5 ft 8 = 32.2 2 S