Answered: The cable exerts a force P at the end…

The cable exerts a force P at the end of the crane boom. Determine the position of the boom so that force P creates a maximum moment about point O. What is this moment?

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter6: Beams And Cables

Section: Chapter Questions

Problem 6.15P: The structure is supported by a pin at C and a cable attached to A. The cable runs over the small...

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Center of Gravity and Centroid

The term center of gravity indicates the position or location of a point about which the whole weight of a body or system is supposed to be concentrated, which means the whole weight of the body or system works through this point. It is closely related to mass distribution. For all positions of the body, the center of gravity would be a single point.

Question

Problem Statement
Based on Problem 4-9 from the textbook.
The cable exerts a force P at the end of the
crane boom. Determine the position of the
boom so that force P creates a maximum
moment about point O. What is this
moment?
p=4.1 Kn
x=12.3 m
y=9.6m
477
735
8

Expert Solution

Step 1

Solution:

Given Data:

$\begin{array}{rcl} P & = & 4.1 k N \\ x & = & 12.3 m \\ y & = & 9.6 m \end{array}$

To Find:

(a) The position $θ$ of the boom.

(b) The magnitude of the moment.

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