To hoist himself into a tree, a 66.0-kg man ties one end of a nylon rope around his waist and throws the other end over a branch of the tree. He then pulls downward on the free end of the rope with a force of 366 N. Neglect any friction between the rope and the branch, and determine the man's upward acceleration.

Answer 1

Concern yourself with the force diagram. The rope has two ends, with tension 366N.Total upward force on the man: 2*366

Downward force: mg or 66*9.8N

Net force=2*366-66*9.8=66a
solve for a.