Solve Hanging Blocks Homework: Find Max Height

[ItsImpulse]

Homework Statement

How many blocks can you stack on top of each other before the tower falls? Each block has a mass m and a length l. The first block is on the table. The second block is stacked on top of the first but moved by 0.15L to the right. This pattern continues

Homework Equations

Distance to centre of mass multiplied by total mass is the summation of each individual mass multiplied by distance from reference point .

The Attempt at a Solution

For the tower to topple , centre of mass has to be beyond the edge of the first block so I can say that 0.5L(n)(m) = some form of arithmetic series due to the increments of 0.15L but I don't know how to set up the equation

 

[BvU]

So start working it out. Where is the center of mass for 1 block on top, for 2, for 3 ? Do you see a pattern ?