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a coin is kept a distance of 10cms from the centre of a turnable table .If the coefficient of static friction is 0.8 find the frequency of rotation of the disc at which the coin will begin to slip

 a coin is kept a distance of 10cms from the centre of a turnable table .If the coefficient of  static friction is 0.8 find the frequency of rotation of the disc at which the coin will begin to slip

Grade:11

1 Answers

Pushkar Prateek
23 Points
7 years ago
Suppose the turn table rotates with  angular (frequency or speed) \omega rad/s. Here, friction will provide the required centripetal force.
The coin will begin to slip when required centripetal force just exceeds maximum possible friction.
So in limiting condition
Centripetal force required for circular motion of the coin just becomes equal to maximum possible friction.
 
0.8mg = m \omega2 0.1
\omega = 4\sqrt{5} rad/s.
 

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