Don't look down

Classical Mechanics Level 2

A 80 kg climber is standing horizontally on a perfectly vertical cliff face as shown in the picture. The climber is 1.8 meters tall and is attached by a 2-meter-long rope fastened around the climber's middle to a point on the cliff above him. What is the normal force the cliff face exerts on the climber in Newtons?

Details and assumptions

  • The climber is not moving.
  • The acceleration of gravity is \(-9.8\text{ m/s}^2\).
  • The center of mass of the climber is at the point where the rope meets their body.

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