(I) A box weighing 77.0 N rests on a table. A rope tied to the box runs vertically upward over a pulley and a weight is hung from the other end (Fig. 4-45). Determine the force that the table exerts on
the box if the weight hanging on the other side of the pulley weighs ($a$) 30.0 N, ($b$) 60.0 N, and ($c$) 90.0 N.