Question

Why do we pull the rope downward for climbing up

Answer 1

According to the Newton's third law,

action and reaction are opposite and equal

Here the action is pulling the rope an the reaction is that we move up.

Answer 2

when a person is climbing up he will push the rope downwards.Gravity is pulling the body downwards and when a person pulls the rope down,the reaction force will help that person to climb upward.