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Engineering and Tech / Engineering Mechanics: Statics 13 / Chapter 4 / Problem 4-19

Engineering Mechanics: Statics | 13th Edition | ISBN: 9780132915540 | Authors: R. C. Hibbeler

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The tower crane is used to hoist a 2-Mg load upward at

Chapter 4, Problem 4-19

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QUESTION:

The tower crane is used to hoist a 2-Mg load upward at constant velocity. The 1.5-Mg jib BD and 0.5-Mg jib BC have centers of mass at \(G_1\) and \(G_2\), respectively. Determine the required mass of the counterweight C so that the resultant moment produced by the load and the weight of the tower crane jibs about point A is zero. The center of mass for the counterweight is located at \(G_3\).

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QUESTION:

The tower crane is used to hoist a 2-Mg load upward at constant velocity. The 1.5-Mg jib BD and 0.5-Mg jib BC have centers of mass at \(G_1\) and \(G_2\), respectively. Determine the required mass of the counterweight C so that the resultant moment produced by the load and the weight of the tower crane jibs about point A is zero. The center of mass for the counterweight is located at \(G_3\).

ANSWER:

Step 1 of 2

In order that the crane doesn't roll over on one side,the moment around point needs to be zero . We will use equation of equilibrium for point .Refer to the free body diagram below.

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