Find the value of the reaction forces on the shelf shown below. The shelf itself has a weight of 30 N and its centre of mass is midway between X and Y. Please give the values of the reaction forces at X and Y
(Values shown on diagram; distances, 0.4 m, 1.2 m and 0.9 m; weights, 45 N, 30 N, 90 N, 40 N)