# No Slip Sliding Away

Three blocks placed on top of each other are on a plane inclined at an angle of $$30^{\circ}$$ with respect to horizontal. The top and bottom blocks are connected by a string that goes over a pulley. The top block has a mass of $$30\text{ kg}$$, the middle one a mass of $$40\text{ kg}$$, and bottom one a mass of $$50\text{ kg}$$.

If the coefficient of static friction $$\mu_{\text{s}}$$ is the same between all the pairs of surfaces, then find the minimum value of $$\mu_{\text{s}}$$ such that the blocks remain in equilibrium.