Question

Two identical ladders are arranged as shown in the figure. Mass of each ladder is and length . The system is in equilibrium. Find direction and magnitude of friction force acting at A or B.

expand
A

horizontally outwards

B

 horizontally inwards

C

 horizontally outwards

D

None of these.

Hard
JEE Mains

Solution

verified
Verified by Toppr
Correct option is
B

 horizontally inwards

Drawing the FBD of both rods 
As the rods are in equilibrium






For right rod

(1)

(2)
For left rod

(3)

From



Balancing torque about ,






expand
Solve any question of Laws of Motion with:-

Was this answer helpful?

upvote 0
downvote0

Similar questionsstar-struck

A block of mass kg is acted upon by a force at an angle with the horizontal in downward direction as shown. The coefficient of friction between the block and the horizontal surface is . The friction force acting on the block by the ground is

expand
View solution
>

A ladder of mass m is leaning against a wall. lt is in static equilibrium making an angle with the horizontal floor. The coefficient of friction between the wall and the ladder is and that between the floor and the ladder is . The normal reaction of the wall on the ladder is and that of the floor is . If the ladder is about to slip, then

This question has multiple correct options
View solution
>
Assertion

Two identical blocks are placed over a rough inclined plane. One block is given an upward velocity and the other in downward direction. If and the ratio of magnitudes of accelerations of two blocks is 2 : 1.

Reason

The desired ratio is

Two identical blocks are placed over a rough inclined plane. One block is given an upward velocity and the other in downward direction. If and the ratio of magnitudes of accelerations of two blocks is 2 : 1.

View solution
>

If a ladder weighing is placed against a smooth vertical wall having a coefficient of friction between it and floor , then what is the maximum force of friction available at the point of contact between the ladder and the floor?

View solution
>

Two identical spheres, touching each other, are placed on a rough horizontal surface of static friction co-efficient as shown in figure. An another identical sphere of same mass and same radius is also placed on the spheres symmetrically. The contact surface between sphere C, with other spheres is smooth. What should be the minimum value of , so that the system can stay in equilibrium?

expand
View solution
>

View more