Thank you BvU!
Okay I think I got it but I am not too sure:
I made a mistake on the Force of friction between block B and C. It should have been (mgμcosθ)/m where m is the mass of block c.
So force of friction must be greater than acceleration for block c to slip off.
Therefore: a =...
Google "Game Theory", there are some great stuff that can help for building an A.I.
It does sound like it only applies to games but it applies to a lot related topics which you might find fascinating.
Problem:
Block A is suspended from a vertical string. The string passes over a pulley and is attached to block B. The mass of block B is 1.8 kg. The mass of block C is 0.75 kg. If the coefficient of kinetic friction is 0.100 between block B and the ramp and the coefficient of static friction...