A uniform beam (length 3.0 m, weight 100 N) is arranged as shown, and relies somewhat on friction to keep its left end from slipping up the wall (because the 200 N weight tends to make the right end tip down). How far (x) can the 200 N be placed from the center before slipping occurs, and what are the tension in the rope and the normal force at the wall when that point is reached?

- rope 2.0 m 200 Hs = (1/3) N - - - - - - 1.5m