I have a question about basic statics but somehow I cannot manage to find the answer on my own (btw, this is not a homework. It's been so many years since school for me...).
The problem is very simple: we have an object with weight $D$ at a given location on table wit with four legs ($F_1$ to $F_4$). What is the force applied on each leg? (for simplicity, I'm just using the same labels $F$ and $D$ for both the location and the force)
$W$, $H$, $x$, $y$ and $D$ are given. To find the forces on each leg, as far as I remember, I have to consider two general equations: $\sum F=0$ and $\sum M=0$. So I have:
$$ F_1 + F_2 + F_3 + F_4 - D = 0 $$
Also, considering the moments round the point $F_1$:
$$ W(F_2+F_3) - xD = 0 $$ $$ H(F_3+F_4) - yD = 0 $$
But this just give me 3 equations! I missing one more equation and cannot figure it out.