FrictionHard
Question
A bead of mass m is located on a parabolic wire with its axis vertical and vertex directed towards downward as in figure and whose equation is x2 = ay. If the coefficient of friction is μ, the highest distance above the x-axis at which the particle will be in equilibrium is


Options
A.μa
B.μ2a
C.1/4μ2a
D.1/2μ2a
Solution
(C) For the sliding not to occur when
tan θ ≤ m
tan θ =
∴ 2
≤ μ or y ≤ 
tan θ ≤ m
tan θ =
∴ 2
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