Two identical spheres, touching each other, are placed on a rough horizontal surface of static friction co-efficient μs as shown in figure. An another identical sphere of same mass and same radius is also placed on the spheres symmetrically. The contact surface between sphere C, with other spheres is smooth. What should be the minimum value of μs, so that the system can stay in equilibrium?
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Correct option is B)
Referring the figure, 2Ncos30o=mg⇒N=2cos30omg Balancing the force on sphere A, μ(mg+Ncos30o)=Nsin30o Solving we get, μ=331