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Engineering and Tech / Engineering Mechanics: Statics 14 / Chapter 8 / Problem 8-16

Engineering Mechanics: Statics | 14th Edition | ISBN: 9780133918922 | Authors: Russell C. Hibbeler

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Answer: The 180-lb man climbs up the ladder and stops at

Chapter 8, Problem 8-16

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QUESTION:

The 180-lb man climbs up the ladder and stops at the position shown after he senses that the ladder is on the verge of slipping. Determine the inclination \(\theta\) of the ladder if the coefficient of static friction between the friction pad A and the ground is \(\mu_{\mathrm{s}}=0.4\). Assume the wall at B is smooth. The center of gravity for the man is at G. Neglect the weight of the ladder.

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QUESTION:

The 180-lb man climbs up the ladder and stops at the position shown after he senses that the ladder is on the verge of slipping. Determine the inclination \(\theta\) of the ladder if the coefficient of static friction between the friction pad A and the ground is \(\mu_{\mathrm{s}}=0.4\). Assume the wall at B is smooth. The center of gravity for the man is at G. Neglect the weight of the ladder.

ANSWER:

Step 1 of 2

The free body diagram is as follows:

The relation of forces in vertical direction is given by,

Here, is the normal force at point A and W is the weight of the man.

For, .

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