After one particularly wild night at the bars, Jon decides to come home and jump on his bed .Assume that he's jumping directly in between one steel support beam that's 10 foot long, 2 inches wide and 1 inch thick. Further assume that Jon weighs around 130 pounds and is jumping on the bed at approximately twice per second.
a. How many times can he jump on his bed before the beam breaks?
b. If there's a quarter-inch transverse crack in it already, how many times can he jump on it before the bed breaks? (Assume Paris constants of m = 4 and A = 4*10^-6 when is in MPa.