Question

FIGURE 9-72 Problem 117 118 ENGINEERING APPLICATION The roof of the student dining hall at your college will be supported by high cross-braced wooden beams attached in the shape of an upside-down L (Figure 9-73). Each vertical beam is 10.0 ft high and 2.0 ft wide, and the horizontal cross-member is 8.0 ft long. The mass of the vertical beam is 350 kg, and the mass of the horizontal beam is 280 kg. As the workers were building the hall, one of these structures started to fall over before it was anchored into place. (Luckily they stopped it before it fell.) (a) If it started falling from an upright po- sition, what was the initial angular acceleration of the structure? Assume that the bottom did not slide across the floor and 1.4 m con- 60 m the that it rque orce? these did not fall out of plane; that is, during the fall, the structure remained in the vertical plane defined by the initial position of the structure. (b) What would be the magnitude of the initial linear acceleration of the upper right corner of the horizontal beam? (c) What would the horizontal component of the initial linear acceleration be at this same location? (d) Estimate the structure's sists ame- push rtin min. rotational speed at impact 8.0 ft force 2.0 ft ork ergy string al fric- nstant on the 3.0 s? 12.0 ft g disk from andle axis elera- heel. 2.0 ft+ FIGURE 9-73 Problem 118

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