If a ladder weighing 250 N is placed against a smooth vertical wall having coefficient of friction between it and floor is 0.3 , then what is the maximum force of friction available at the point of contact between the ladder and the floor?

Question

If a ladder weighing 250 N is placed against a smooth vertical wall having coefficient of friction between it and floor is 0.3 , then what is the maximum force of friction available at the point of contact between the ladder and the floor? (A) 75 N (B) 50 N (C) 35 N (D) 25 N

Tardigrade Admin · Accepted Answer

The free body diagram showing the situation is as below. R is the reaction of the floor on the ladder, w the weight of ladder <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/d8ad4e2faa45584469b9fe74c1007b11-.png" /> Also R=w=250 N . Given, μ =0.3 ∴ F=0.3× 250=75 N .

Q. If a ladder weighing $250 N$ is placed against a smooth vertical wall having coefficient of friction between it and floor is $0.3$ , then what is the maximum force of friction available at the point of contact between the ladder and the floor?

75 N

50 N

35 N

25 N

The free body diagram showing the situation is as below.
$R$ is the reaction of the floor on the ladder, $w$ the weight of ladder

Also $R = w = 250 N$ .
Given, $μ = 0.3$
$∴ F = 0.3 \times 250 = 75 N$ .

Q. If a ladder weighing 250N is placed against a smooth vertical wall having coefficient of friction between it and floor is 0.3, then what is the maximum force of friction available at the point of contact between the ladder and the floor?