How many bricks can be put without disordering the equilibrium

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haruspex said:
Yes. Having found that mass centre, how will you decide whether the structure is stable?
I don't know. Could you help me?
 
MaiteB said:
I don't know. Could you help me?
There are several ways in which the stack of bricks could be unstable, since it has four possible points of separation: one between the top two bricks, one between the second and third brick, and so on.
In principle, you need to check each of these.
To check one, consider all the bricks above that point as a single unit. If I place an object on the floor, what determines whether it will stay put or fall over? Where does the mass centre need to be in relation to the base?