Two equal masses \(m\) are attached by a string. One mass lies at radial distance \(r\) from the....

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Two equal masses \(m\) are attached by a string. One mass lies at radial distance \(r\) from the centre of a horizontal turntable which rotates with constant angular velocity \(\omega=2 rad s ^{-1}\), while the second hangs from the string inside the turntable's hollow spindle (see fig.). The coefficient of static friction between the turntable and the mass lying on it \(\mu_{ s }=0.5\). The maximum and minimum values such that the mass lying on the turntable does not slide are \(r_{\max }, r_{\min }\). Then \(\left(r_{\text {max }}+r_{\text {min }}\right)\) (in meter).
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