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In the figure, a climber with a weight of 390 N is held by a belay rope connecte

ID: 1912808 • Letter: I

Question

In the figure, a climber with a weight of 390 N is held by a belay rope connected to her climbing harness and belay device; the force of the rope on her has a line of action through her center of mass. The indicated angles are ? = 35? and ? = 35?. If her feet are on the verge of sliding on the vertical wall, what is the coefficient of static friction between her climbing shoes and the wall?

In the figure, a climber with a weight of 390 N is held by a belay rope connected to her climbing harness and belay device; the force of the rope on her has a line of action through her center of mass. The indicated angles are ? = 35? and ? = 35?. If her feet are on the verge of sliding on the vertical wall, what is the coefficient of static friction between her climbing shoes and the wall?

Explanation / Answer

T cos20 = 390 sin35

T = 238.051 N

f = 390 - 238.051*cos35 = 195 N

N = 238.051*sin35 = 136.54

= f/N = 195/136.54 = 1.43

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