Problems on normal reaction and coefficient of friction?

Question

A uniform ladder AB, 5m long, weights 200N. It rests on a rough horizontal ground at A and against a smooth vertical wall at B. It is inclined at 30' to the vertical. 
Find 

(i) The normal reaction at A

(ii) The normal reaction at B

(iii) The coefficient of friction at A

Quark · Accepted Answer

(i) The normal reaction at A :
  NA = w = 200 N
(ii) The normal reaction at B :
     Στ(A)  = 0
    ----> NB * L * cos θ = W * 1/2L ) sin θ
               NB = (1/2) * w * tan θ
                    = (1/2) * 200 * tan 30 = 57.74 N

(iii) f = NB
    μ * NA = NB
   μ * 200 = 57.74 ---> μ = 57.74/200 = 0.29

Problems on normal reaction and coefficient of friction?

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