1. Given: The sign for the Inn of the Prancing Pony in Bree-yes, it comes in pints-is fixed on the end of a beam of length 5L. If the sigh deflects too much then Gandalf will hit his head when he tries to enter. Barliman Butterbur doesn't want to anger a wizard and has hired you to design a beam to hold his sign. The sign is a square with side length 2L and has a mass m = 50kg. Assume the beam has a much smaller mass than the sign and that the sign is rigid. Use L = 0.25m and E = 8GPa. Solve using the second-order method. Find: (a) If the beam must be twice as tall as it is wide, find the minimum width (w) so that [v(5L)| 10cm? (b) Determine the angle (5L) which the sign will hang at x=5L. 2w W 5L mg The Prancing Pony 2L 21 2L