1:13 PM 496 a edugen.wileyplus.com Calculus-based Physics 1ⅈ (PH 201-202) Cha

Question

1:13 PM 496 a edugen.wileyplus.com Calculus-based Physics 1ⅈ (PH 201-202) Chapter 12, Problem 024 Your answer is partially correct. Try again. lying Circus. of Pthysics In the figure, a climber with a weight of 440 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 ·50. and ·35.. If her feet are on the verge of sldng on the vertical wan, what is the coefficent of static friction between her climbing shoes and the wall? Number1 Units the tolerance is +/-2%

Explanation / Answer

  W = weight of the climber =440 N
= angle between climber and wall = 50°
= angle between rope and wall = 35°

L = distance from her feet to her center of mass
T = tension in the rope

Thee angle between the rope and a line perpendicular to the climber is:
= 90° - -
= 5°

The angle of the rope to horizontal is:
= 90° -
= 55°

Summing up the torque about her feet, you get:
L×W×sin() = L×T×cos()
T = W×sin()/cos()
T = 338.347 N

The horizontal component of the reaction of the wall on her feet is:
Rx = T×cos()
Rx = 194.06 N

The vertical component of the reaction of the wall on her feet is:
Ry = W - T×sin()
Ry = 162.842 N

The coefficient of friction between her feet and the wall is
µ = Ry / Rx
µ = 0.839

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