Find minimum value of the angle θ so that block of mass m does not move on rough surface. The coefficient of static friction between the block and surface whatever may be the value of applied force F.

 …..(1) 
N = F sinθ + mg …..(2) 
By (1) and (2) 
 
 
 
 
if F is ∞. Hence  
 ⇒ cot θ = μ ⇒ θ = cot-1(μ
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