A uniform ring is rotating about the vertical axis with angular velocity ω initially. A point insect ( S ) having the same mass as that of the ring starts walking from the lowest point P 1 and finally reaches the point P 2 (as shown in the figure). The final angular velocity of the ring is

Question

A uniform ring is rotating about the vertical axis with angular velocity ω initially. A point insect ( S ) having the same mass as that of the ring starts walking from the lowest point P 1 and finally reaches the point P 2 (as shown in the figure). The final angular velocity of the ring is, ω / 4, ω, ω / 2, ω / 3

MARKS App · Accepted Answer

From the conservation of angular momentum 1 2 M R 2 ω = 1 2 MR 2 + MR 2 ω ´ ⇒ 1 2 MR 2 ω = 3 2 MR 2 ω ´ ⇒ ω ´ = ω 3

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