The 6-kg sphere and 4-kg block (shown in section) are secured to the arm of negligible mass which rotates in the vertical plane about a horizontal axis at O. The 2-kg plug is released from rest at A and falls into the recess in the block when the arm has reached the horizontal position. An instant before engagement, the arm has an angular velocity ω₀ = 2 rad/s. Determine the angular velocity ω of the arm immediately after the plug has wedged itself in the block.

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2 kg A 600 mm 300 mm 6 kg 4 kg 500 mm