A 
long ladder weighing 
rests with its upper end against a smooth wall and lower end on rough 
ound. The minimum coefficient of friction between the ground and the ladder for it to be inclined at 
with the horizontal without slipping (Take, 
) will be
Text Solution
Verified by ExpertsNOT AVAILABLE
According to the question,
is the long ladder of weight 
which acts at its centre of gravity 
.
As given, 
Let, 
be the reaction of the wall and 
the reaction of the ground.
Force of friction 
between the ladder and the ground acts along 
For horizontal equilibrium, 
For vertical equilibrium, 
Taking moments about 
, we get for equilibrium,
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