A uniform ladder 3 m long weighing 20 kg leans against a frictionless wall. Its foot rest on a rough floor 1m from the wall. The reaction forces of the wall and floor are
Text Solution
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Let AB be ladder
AB = 3m
Its foot A is a distance 1m from the wall.
AC = 1m
And 
The various force acting on the ladder are
(i) Weight W acting at its center of gravity G.
(ii) Reactions force 
of the wall acting Perpendicular to the wall ( 
the wall is frictionless).
(iii) Reactions force 
of the floor. This force can be resolved into two components, the normal reactions N and the force of frictions f.
For translator equilibrium in the horizontal directions,
…..(i)
For translator equilibrium in the vertical directions,
N – W = 20g = 20 × 10 = 200 N ….. (ii)
For rotational equilibrium, taking moment of the forces about A, we get
….. (iii)
From (ii), 
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