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JEE Advanced 2014 Paper 1

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Question : 10

Total: 60

In the figure, a ladder of mass m is shown leaning against a wall. It is in static equilibrium making an angle θ with the horizontal floor. The coefficient of friction between the wall and the ladder is μ1 and that between the floor and the ladder is μ2.The normal reaction of the wall on the ladder is N1 and that of the floor is N2.If the ladder is about to slip, then

μ1=0‌μ2≠0 and N2 tan θ=
mg
2
μ1≠0‌μ2=0 and N1 tan θ=
mg
2
μ1≠0‌μ2≠0 and N2=
mg
1+μ1μ2
μ1=0‌μ2≠ and N1 tan θ=
mg
2

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