To solve the problem of two blocks sliding on wood connected by a pulley, start by setting up separate equations of motion for each block. For block one, consider the forces: normal force, tension, and weight. For block two, account for the normal force, friction, tension, and its weight of 49. The tension in the rope is equal for both blocks, allowing you to express the equations in terms of one variable. By solving these equations, you can find the mass of block one, m1.