A uniform ladder of length 10.0 m and mass 16.0 kg rests against a frictionless vertical wall, making an angle of 37^ ^ ^ with it. The ground is rough. A mechanic stands on the ladder at a point 8.00 m from the lower

Correct answer: A. 44 kg Take moments about the ground contact and use the limiting friction condition f = μ N . With the wall frictionless and the mechanic at 8.00 m , equilibrium gives a maximum mechanic mass of 44 kg .

Concepts Of Physics MCQ Edition [Volume 1]

Exam: Concepts Of Physics MCQ Edition [Volume 1]
Subject: Physics
Chapter: Rotational Mechanics

Concepts Of Physics MCQ Edition [Volume 1] · Physics · Rotational Mechanics

A uniform ladder of length 10.0 m and mass 16.0 kg rests against a...

A uniform ladder of length

10.0 \text{ m}

and mass

16.0 \text{ kg}

rests against a frictionless vertical wall, making an angle of

37^{}^{{}^{\circ}}

with it. The ground is rough. A mechanic stands on the ladder at a point

8.00 \text{ m}

from the lower end. If the coefficient of friction between the ground and ladder is

0.540

, find the maximum weight of the mechanic for which the ladder remains in equilibrium.

Options

A $44 \text{ kg}$
B $35 \text{ kg}$
C $50 \text{ kg}$
D $60 \text{ kg}$

Correct answer

A. $44 \text{ kg}$

Step-by-step solution

Take moments about the ground contact and use the limiting friction condition

f = \mu N

. With the wall frictionless and the mechanic at

8.00 \text{ m}

, equilibrium gives a maximum mechanic mass of

44 \text{ kg}

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