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  4. A disc of radius 2 m is rotating with angular frequency 10 rad/sec. A block of mass 2 kg is to be put on the disc friction coefficient between disc and block is μK = 0.4, then find the maximum distance from axis where the block can be placed without sliding:

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Q. A disc of radius 2 m is rotating with angular frequency 10 rad/sec. A block of mass 2 kg is to be put on the disc friction coefficient between disc and block is $\mu_K$ = 0.4, then find the maximum distance from axis where the block can be placed without sliding:

AIIMSAIIMS 2019

Solution:

$\mu_{K}.g=\omega^{2}x$
$0.4\times10=\left(10\right)^{2}.x$
$x=\frac{4}{100}$ m=4 cm