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The system shown in figure is rotated about vertical axis in a horizontal plane with uniform angular velocity $ω$ . In the figure r is 0.5 m and masses of the blocks are $m_{1} = 2 k g$ and $m_{2} = 1 k g$ . The floor is smooth but the coefficient of friction between the blocks is 0.5(Ignore the dimension of the blocks and take $g = 10 m / s^{2}$ )

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The minimum value of $ω$ to start relative motion between the blocks is $\sqrt{40}$ rad/s

The minimum value of $ω$ to start relative motion between the blocks is $\sqrt{45}$ rad/s

The tension in the string connecting $m_{1}$ and $m_{2}$ when slipping just starts is 30 N.

There will never be slipping between the blocks

answer is A, C.

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Detailed Solution

$\begin{array}{l} T - f = m_{2} r ω^{2} \\ T + f = m_{1} r ω^{2} \end{array}$

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