Basic Maths and Units and DimensionsHard
Question
A ring of mass M and radius R is rotating with angular speed w about a fixed vertical axis passing through its centre O with two point masses each of mass 
at rest at O. These masses can move radially outwards along two massless rods fixed on the ring as shown in the figure. At some instant the angular speed of the system is 
w and one of the masses is at a distance of 
R from O. At this instant the distance of the other mass from O is :
at rest at O. These masses can move radially outwards along two massless rods fixed on the ring as shown in the figure. At some instant the angular speed of the system is w and one of the masses is at a distance of R from O. At this instant the distance of the other mass from O is :Options
A.2/3 R
B.1/3 R
C.3/5 R
D.4/5 R
Solution
Using convervation of angular momentum about axis of ring
MR2ω = MR2
r =
∴ (D)
MR2ω = MR2
r =
∴ (D)
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