A non-uniform plank of wood AB has length 6m and mass 90kg. The plank is smoothly supported at its two ends A and B, with A and B at the same horizontal level. A woman of mass 60kg stands on the plank at the point C, where AC=2m. The plank is in equilibrium and the magnitudes of the reactions at A and B are equal. the plank is modelled as a non-uniform rod and the woman as a particle.
(a) the magnitude of the reaction on the blank at B,
(b) the distance of the centre of mass of the plank from A.
Moment = Fx
The Attempt at a Solution
For part A i was thinking total down = total up, if thats the case you have 90g+60g = 150g if thats the case would b = 75g as its equilibrium?
also I would take moments about point A for question (b) however I do no know what i would do from there.
Help would be appreciated