Vintage Wine,A 1.40-kg bottle of vintage wine is lying horizontally in the rack. The two surfaces on which the bottle rests are 90.0 degrees apart, and the right surface makes an angle of 45.0 degrees with respect to the ground. Each surface exerts a force on the bottle that is perpendicular to the surface. What is the magnitude of each of these forces?See More
thank you..!! 
kirchwey // Apr 10, 2011 at 10:13 pm
Obviously the other side is also at 45 deg wrt the ground, so we have symmetry. Each surface contributes a vertical force equal to mg/2. Since the total force at each surface is at 45 deg, its magnitude is sqrt(2)*the vertical force or mg/sqrt(2) = 1.4*9.81/sqrt(2) = 9.7114 N.