Stacking identical rigid blocks, one on top of the other, one wants to get the biggest overhang possible without the tower toppling. Each block has, say, W = 1 N, height h = 1 cm, and length "=10 cm....

Stacking identical rigid blocks, one on top of the other, one wants to get the biggest overhang possible without the tower toppling. Each block has, say, W = 1 N, height h = 1 cm, and length "=10 cm. a) For three blocks find the biggesta1and  so there is no toppling. [First put the top block as far to the right as you can, a1, for no toppling.

Then put that pair as far to the right as possible for no toppling over the bottom block.] The total over hang is a1+ + a2.

b) For 4 blocks find the largest possible overhang a1+a2+a3 by placing the tower of three above as fart o the right as possible relative to the bottom block. [Note that you place the center of mass of the top3 blocks over the right edge of the fourth bottom block].c) For n blocks what is the biggest possible overhang ( a1 + a2 + a3 + _ _ _ + an+1)?

d) Using blocks with length " D 10 cm how many blocks n are needed to get an overhang of 1 m? 2 m?