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Question: A coin placed on a rotating table just slips if it is placed at a distance 4r from the centre. On do...

A coin placed on a rotating table just slips if it is placed at a distance 4r from the centre. On doubling the angular velocity of the table, the coin will just slip when at a distance from the centre equal to :

A

4r

B

2r

C

r

D

r/4

Answer

r

Explanation

Solution

\ w = µgr\sqrt{\frac{µg}{r}}

w a 1r\frac{1}{\sqrt{r}} Ž r a 1ω2\frac{1}{\omega^{2}}

since w is double thus

r' = 4r4\frac{4r}{4} = r