Question

Mountaineers often use a rope to lower themselves down the face of a cliff (this is called rappelling). They do this with their body nearly horizontal and their feet pushing against the cliff (the figure (Figure 1)). Suppose that an 77.6-kg climber, who is 1.68 m tall and has a center of gravity 1.5 m from his feet, rappels down a vertical cliff with his body raised 33.1 degree above the horizontal. He holds the rope 1.22 m from his feet, and it makes a 26.8 degree angle with the cliff face. What tension does his rope need to support? Express your answer using two significant figures. Find the horizontal component of the force that the cliff face exerts on the climb Express your answer using two significant figures. Find the vertical component of the force that the cliff face exerts on the climber's feet. Express your answer using two significant figures. What minimum coefficient of static friction is needed to prevent the climber's feet from slipping on the cliff face if he has one foot at a time against the cliff? Express your answer using two significant figures. Find the vertical component of the force that the cliff face exerts on the climber's feet. Express your answer using two significant figures. What minimum coefficient of static friction is needed to prevent the climber's feet from slipping on the cliff face if he has one foot at a time against the cliff? Express your answer using two significant figures.

Answer 1