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Physics-

General

Easy

Question

A gramophone disc is set revolving in a horizontal plane and reaches a steady state of motion of two revolutions per second. It is found that a small coin placed on the disc will remain there if its centre is not more than 5 cm from the axis of rotation; the coefficient of friction between the coin and the disc is

0.2
0.4
0.6
0.8

The correct answer is: 0.8

Here, $n equals 2 blank$ rps, $r equals 5 blank c m equals 0.05 blank m comma blank mu equals ?$
As $fraction numerator m v to the power of 2 end exponent over denominator r end fraction equals F equals mu blank R equals mu blank m g$
$mu equals fraction numerator v to the power of 2 end exponent over denominator r g end fraction equals fraction numerator open parentheses r 2 pi n close parentheses to the power of 2 end exponent over denominator r g end fraction equals fraction numerator 4 pi to the power of 2 end exponent n to the power of 2 end exponent r over denominator g end fraction$
$equals 4 cross times fraction numerator 22 over denominator 7 end fraction cross times fraction numerator 22 over denominator 7 end fraction cross times fraction numerator 2 to the power of 2 end exponent cross times 0.05 over denominator 9.8 end fraction equals 0.8$

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