Q.

A ring of mass M and radius R rotating with angular speed ω about a fixed vertical axis passes through ‘O’;  with two masses each of mass M8at rest. These can move radially out along two mass less rods as shown. After some time the angular velocity is 8ω9,

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a

If one of the mass at 3R5 the other is at 5R4

b

If one of them is at 3R5 the other is at 4R5

c

If one of the mass at 2R5 the other is at 21R5

d

If one of the mass at 2R5 the other is at 21R5

answer is B, C.

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Detailed Solution

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Li=MR2ω After some time ω1=8ω9 rA=3R5;rB=? L⨍  =MR2 ω1+IAω1+IBω1

=MR2+M89R225+M8rB28ω9Li=L⨍ r=4R5 If

OA=2R5;OB=rLi=L⨍   MR2ω=MR2+M8.4R225+M8r28ω9 r=21R5

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