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A uniform rod KJ of weight w shown in the figure rests against a frictionless vertical wall at the point K and a rough horizontal surface at point J, It is given that w= 10 kN, a = 4 in and b = 3 m.

The minimum coefficient of static friction that is required at the point J to hold the rod in equilibrium is__________ . (round off to three decimal places)
    Correct answer is between '0.350,0.400'. Can you explain this answer?
    Verified Answer
    A uniform rod KJ of weight w shown in the figure rests against a frict...
    Free body diagram:
    Given: w = 10kN


    ∴ KO = OJ = 2.5 m, WO' = 2.5cosθ
    For equilibrium, 

    ⇒    i.e. N1 = Fs   
    ⇒   i.e. N2 = w
    For equilibrium,

    w x 2.5cosθ+ Fs(4) = N2 x 3
    ∵ cos θ = 3/5 and N2 = W = 10 kN
    ∴ 
    ∴ Fs = 15/4 kN
    We know that


    ∴ (μ)min = 0.375
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    Most Upvoted Answer
    A uniform rod KJ of weight w shown in the figure rests against a frict...
    Free body diagram:
    Given: w = 10kN


    ∴ KO = OJ = 2.5 m, WO' = 2.5cosθ
    For equilibrium, 

    ⇒    i.e. N1 = Fs   
    ⇒   i.e. N2 = w
    For equilibrium,

    w x 2.5cosθ+ Fs(4) = N2 x 3
    ∵ cos θ = 3/5 and N2 = W = 10 kN
    ∴ 
    ∴ Fs = 15/4 kN
    We know that


    ∴ (μ)min = 0.375
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    A uniform rod KJ of weight w shown in the figure rests against a frictionless vertical wall at the point K and a rough horizontal surface at point J, It is given that w= 10 kN, a = 4 in and b = 3 m.The minimum coefficient of static friction that is required at the point J to hold the rod in equilibrium is__________ . (round off to three decimal places)Correct answer is between '0.350,0.400'. Can you explain this answer?
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