wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

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 μ 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

A
μ1=0μ20 and N2 tan θ=mg/2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
μ10μ2=0 and N1 tan θ=mg/2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
μ10μ20 and N2=mg1+μ1μ2
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
μ1=0μ20 and N1 tan θ=mg/2
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct options are
C μ10μ20 and N2=mg1+μ1μ2
D μ1=0μ20 and N1 tan θ=mg/2
Consider of translational equilibrium
N1=μ2N2 (i)
N2+μ1N1=Mg (ii)

Solving N N2=mg1+μ1μ2
N1=μ2mg1+μ1μ2
Applying torque equation about corner (left) point ont he floor
mg l2 cos θ=N1l sin θ+μ1N1l cos θ
Solving tan θ=1μ1μ22μ2

flag
Suggest Corrections
thumbs-up
0
similar_icon
Similar questions
View More
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Equilibrium 2.0
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon