A non-uniform beam, AB, of weight 200 N and length 5m, rests horizontally on supports at C & D, where AC=1m and AD=3m. If particles of weight 5W and W are attached at A and B respectively, the beam is on the point of tilting about C. If particles of weight W and 3W are attached at A and B respectively, the beam is on the point of tilting about D.
(i) Find the distance of the centre of gravity of the beam from A.
(ii)Find the value of W.
Hope someone can help, I keep getting ridiculously small values for the distance and hence can't really solve W.
Thanks in advance.