1989M2. Block A of mass 2 M hangs from a cord that passes over a pulley and is connected to block B of mass 3 M that is free to move on a frictionless horizontal surface, as shown above. The pulley is a disk with frictionless bearings, having a radius R and moment of inertia 3MR2. Block C of mass 4 M is on top of block B . The surface between blocks B and C is NOT frictionless. Shortly after the system is released from rest, block A moves with a downward acceleration a, and the two blocks on the table move relative to each other.
In terms of M,g, and a , determine the
a. tension Tv in the vertical section of the cord
b. tension Th in the horizontal section of the cord
If a=2 meters per second squared, determine the
c. coefficient of kinetic friction between blocks B and C
d. acceleration of block C