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The tower crane is used to hoist the 2.0- M g load upward at constant velocity.

ID: 1828634 • Letter: T

Question

The tower crane is used to hoist the 2.0-Mg load upward at constant velocity. The 1.4-Mg jib BD, 0.4-Mg jib BC, and 6.7-Mg counterweight C have centers of mass at G1, G2, and G3, respectively. Determine the resultant moment produced by the load and the weights of the tower crane jibs about point A and point B


The tower crane is used to hoist the 2.0-Mg load upward at constant velocity. The 1.4-Mg jib BD, 0.4-Mg jib BC, and 6.7-Mg counterweight C have centers of mass at G1, G2, and G3, respectively. Determine the resultant moment produced by the load and the weights of the tower crane jibs about point A and point B

Explanation / Answer

Since the moment arms of the weights and the load measured to points A and B are
the same, the resultant moments produced by the load and the weight about points
A and B are the same.


M_RA=M_RB = SUm (Fd) = 6700(9.81)(7.5) +400(9.81)(4)-1400(9.81)(9.5)-2000(9.81)(12.5)

         = 132925.5 N.m = 132.93 kN.m (counterclockwise)

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