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. 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 322.0 kg, and the mass of the horizontal beam is 271.6 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 position, what was the initial angular acceleration of the structure? Assume that the bottom did not slide across the floor and that it 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 rotational speed at impact.