A uniform ring is rotating about vertical axis with angular velocity omega initally. 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 figure). What is the final angular velocity of the ring ? .

A uniform ring is rotating about vertical axis with angular velocity o

1.	A uniform ring is rotating about vertical axis with angular velocity omega initally. 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 figure). What is the final angular velocity of the ring ? .
Answer» Solution :from conservation of angular MOMENTUM `((1)/(2) MR^(2)) OMEGA = ((1)/(2) MR^(2) + MR^(2)) omega'` `((1)/(2) MR^(2)) omega = ((3)/(2) MR^(2)) omega' rArr omega' = (omega)/(3)`.