A person is lying on a board, which is supported at both ends. A vertical reaction force VA is acting on the board at point A and passes through the origin of the coordinate system. A vertical reaction force VB is acting at the point located at īB weight of the person is F and the weight of the board is P. The vector that determines the centroid C of the person is given by: xc lex, where l is a length. It is known that the aëx + Bēy. Determine the reaction forces VA and VB as a function of l, a, ß, F and P.

A person is lying on a board, which is supported at both ends. A vertical reaction force VA is acting on the board at point A and passes through the origin of the coordinate system. A vertical reaction force VB is acting at the point located at īB weight of the person is F and the weight of the board is P. The vector that determines the centroid C of the person is given by: xc lex, where l is a length. It is known that the aëx + Bēy. Determine the reaction forces VA and VB as a function of l, a, ß, F and P.