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Engineering and Tech / Engineering Mechanics: Statics 14 / Chapter 8 / Problem 8-47

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

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Solved: Crates A and B weigh 200 lb and 150 lb,

Chapter 8, Problem 8-47

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QUESTION:

Crates A and B weigh 200 lb and 150 lb, respectively. They are connected together with a cable and placed on the inclined plane. If the angle u is gradually increased, determine u when the crates begin to slide. The coefficients of static friction between the crates and the plane are \(\mu_{\mathrm{A}}=0.25\) and \(\mu_{\mathrm{B}}=0.35\).

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QUESTION:

Crates A and B weigh 200 lb and 150 lb, respectively. They are connected together with a cable and placed on the inclined plane. If the angle u is gradually increased, determine u when the crates begin to slide. The coefficients of static friction between the crates and the plane are \(\mu_{\mathrm{A}}=0.25\) and \(\mu_{\mathrm{B}}=0.35\).

ANSWER:

Step 1 of 7

It's required that both crates are about to slide downward. In order to make this happen, the two friction forces between each crate and the plane surface should be maximum and acting the opposite direction (upward). We can express them by:

(a)

(b)

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