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# Consider a ladder with a painter climbing up it (Fig.

ISBN: 9780130606204 3

## Solution for problem 27P Chapter 9

Physics: Principles with Applications | 6th Edition

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Physics: Principles with Applications | 6th Edition

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Problem 27P

Consider a ladder with a painter climbing up it (Fig. 9-94). The mass of the uniform ladder is 12.0 kg, and the mass of the painter is 55.0 kg. If the ladder begins to slip at its base when the painter's feet are 70% of the way up the length of the ladder, what is the coefficient of static friction between the ladder and the floor? Assume the wall is frictionless.

Step-by-Step Solution:

Step-by-step solution

When the painter is at 70% of the way up to the lade r, the ladder is start to slip. We will find the coefficient of friction between the ground and ladder. The wall is frictionless.

Step 1 of 5</p>

First we draw the free body diagram.

F: the reaction force from the wall.

N: the reaction force from the ground

Ff; the friction force on the ground keeping the ladder from sliding

W; the weight of the ladder directed downward from the center of mass of the ladder.

P: the weight of the painter.

dW; the perpendicular distance from weight of ladder to point O.

dp; the perpendicular distance from weight of painter to point O.

dF; the perpendicular distance from reaction force of the wall to point O.

Step 2 of 5</p>

We are going to write the first condition of equilibrium for y axis to find the reaction force from the ground.

The reaction force from the ground.

Step 3 of 5</p>

We are going to write the first condition of equilibrium for x.

The reaction force of the wall is equal to friction force from the ground.

Step 4 of 5

Step 5 of 5

##### ISBN: 9780130606204

The full step-by-step solution to problem: 27P from chapter: 9 was answered by , our top Physics solution expert on 03/03/17, 03:53PM. The answer to “Consider a ladder with a painter climbing up it (Fig. 9-94). The mass of the uniform ladder is 12.0 kg, and the mass of the painter is 55.0 kg. If the ladder begins to slip at its base when the painter's feet are 70% of the way up the length of the ladder, what is the coefficient of static friction between the ladder and the floor? Assume the wall is frictionless.” is broken down into a number of easy to follow steps, and 71 words. This textbook survival guide was created for the textbook: Physics: Principles with Applications, edition: 6. Since the solution to 27P from 9 chapter was answered, more than 524 students have viewed the full step-by-step answer. This full solution covers the following key subjects: ladder, painter, mass, frictionless, coefficient. This expansive textbook survival guide covers 35 chapters, and 3914 solutions. Physics: Principles with Applications was written by and is associated to the ISBN: 9780130606204.

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