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Engineering and Tech / Engineering Mechanics: Statics 14 / Chapter 8 / Problem 8-33

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

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Solved: The man having a weight of 200 lb pushes

Chapter 8, Problem 8-33

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QUESTION:

The man having a weight of 200 lb pushes horizontally on the crate. If the coefficient of static friction between the 450-lb crate and the floor is \(\mu_{\mathrm{s}}=0.3\) and between his shoes and the floor is \(\mu_{\mathrm{s}}=0.6\), determine if he can move the crate.

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QUESTION:

The man having a weight of 200 lb pushes horizontally on the crate. If the coefficient of static friction between the 450-lb crate and the floor is \(\mu_{\mathrm{s}}=0.3\) and between his shoes and the floor is \(\mu_{\mathrm{s}}=0.6\), determine if he can move the crate.

ANSWER:

Problem 8-33

The man having a weight of 200 lb pushes horizontally on the crate. If the coefficient of static friction between the 450-lb crate and the floor is and between his shoes and the floor is , determine if he can move the crate.

Step by Step Solution

Step 1 of 3

The weight of man is .

The weight of crate is .

The coefficient of friction between crate and floor is .

The coefficient of friction between shoes and floor is .

The following is the free body diagram of the crate.

The expression of vertical forces is given by,

Here, is the normal force in the crate.

The expression of frictional force on crate is given by,

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