In the diagram, a platform of mass M is placed on a horizontal frictionless surface. Two blocks of masses 4M and M are placed on the platform. For both blocks, the coefficients of static friction with the platform equal 0.16 and the coefficients of kinetic friction equal 0.10. The blocks are connected by a light string through a light pulley, which is acted upon by an unknown horizontal force F. If the acceleration of the platform is 0.2g, find the value of F and the acceleration of each block.
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