Tension in cord = M g sin theta = m g so sin theta = m/M if steeper, M moves down if less steep, M moves up
5 y = 4 x + 1 so y = (4/5) x + 1/5 slope = 4/5 so slope of perpendicular = -5/4
Have to know cable angle from vertical
total weight = 470+108+87.1 total moment = 470(1.13)+108(.755)+87.1(.25) cg height = total moment / total weight
21 (x) = 49(.3) x = .7 m
A = angle of board up force up = weight of board = w friction force max = .7 w equal and opposite horizontal force on wall = .7 w length of board = L weight of board down = w at L/2 moment of that weight about foot of board = w(L/2) cos A moment of horizontal wall force about ...
y = 2 x - 16 is original so slope = 2 y = 2 x + b when x = 0, y = 5 so y = 2 x + 5 which is A
income = 115 n cost = 8600 + 55 n so profit = 115 n - 8600 - 55 n = 60 n - 8600 That means we do not start making money until we sell 8600/60 = 143 1/3 of the players. After that we will make 60 dollars per unit.
The y intercept is the value of y when x = 0 so it is indeed A
Please check problem statement for typos. could it be y = x + x^2 ? and initial condition is x=0 and y = 0 ????