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Engineering and Tech / Engineering Mechanics: Statics 14 / Chapter 4 / Problem 4-11

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

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Answer: The towline exerts a force of P = 6 kN at the end

Chapter 4, Problem 4-11

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QUESTION:

The towline exerts a force of P = 6 kN at the end of the 8-m-long crane boom. If \(\theta = 30^{\circ}\), determine the placement x of the hook at B so that this force creates a maximum moment about point O. What is this moment?

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QUESTION:

The towline exerts a force of P = 6 kN at the end of the 8-m-long crane boom. If \(\theta = 30^{\circ}\), determine the placement x of the hook at B so that this force creates a maximum moment about point O. What is this moment?

ANSWER:

Problem 4-11

The towline exerts a force of at the end of the -long crane boom. If , determine the placement x of the hook at B so that this force creates a maximum moment about point O. What is this moment?

Step by Step Solution

Step 1 of 3

The exerting force is .

The length of the crane boom is .

The angle made by the boom is .

The distance of boom from the ground is .

The distance from point O to B is .

The following is the free body diagram of the crane’s boom.

The angle made by the crane boom is calculated as,

…… (1)

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