OK, I modified the model to allow the tower to give way in a horizontal direction. It doesn 't work very well unless there is a reasonably amount of friction involved. In any case the tower needs to be higher so that the smaller amount of rotational momentum it can induce in the block will still be able to rotate it to vertical in the time it takes to drop.
To summarise or findings so far any of these would work:
1. A tower that can withstand a 10 ton side load and a normal amount of friction.
2. A tower that can withstand a 20 ton side load and a nice slippery track for the block.
3. A tall tower that can deform horizontally under load, but offers a fair amount of friction in doing so.
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