Two masses (m_{1}=5.0 mathrm{~kg}) and (m_{2}=2.0 mathrm{~kg}) are joined by an inextensible rope of negligible mass. The

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Two masses \(m_{1}=5.0 \mathrm{~kg}\) and \(m_{2}=2.0 \mathrm{~kg}\) are joined by an inextensible rope of negligible mass. The mass \(m_{1}\) rests on a rough horizontal plane while \(m_{2}\) is placed on a perfectly smooth plane inclined \(30^{\circ}\) with respect to the ground. Determine the minimum value of the static coefficient of friction \(\mu_{s}\) of the horizontal surface for the system to be in equilibrium and the tension \(T\) of the wire under that condition.

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