Practice Problem with Solution - Introductory Statics | ME 221, Assignments of Statics

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5.54 A crane is used to lift a pile of logs with center of mass at point D. Make a free-body diagram of the logs and discuss whether or not the system is statically determinate and/or properly constrained. Solution: Wemg FIGURE $5.54 There are 3 unknown scalar forces T4, Tg, and Tc, provided the geometry is given. Thus there will be 3 unknowns and potentially six equations. However, the 3 forces pass through a common point so the moment equations yield no information. Thus there are 3 equations in 3 unknowns and the system is statically determinant but improperly constrained as rotation could occur about the point of intersection of the three forces. 418