A physics professor of mass 58kg and height 1.68m is rappelling down a vertical cliff when she pauses for a moment. Her feet are touching the cliff, and she is leaning back so that her body makes an angle 0=40° with the vertical. She is tied into a harness that is connected to a rope that makes an angle of B= 20° with the cliff face. The tension in the rope has a line of action that goes through her center of mass which is 1.0 m from her feet. Her hands are not exerting a force on the rope (it is fed through a figure eight shaped braking device that exerts the necessary tension) a) Find the minimum coefficient of static friction between her feet and the cliff so that her feet do not slip on the cliff wall. (Hint: begin with the sum of torques about the center of mass). b) Find the tension in the rope if her feet are about to slip and the coefficient of static friction has the value you obtained in part a).
A physics professor of mass 58kg and height 1.68m is rappelling down a vertical cliff when she pauses for a moment. Her feet are touching the cliff, and she is leaning back so that her body makes an angle 0=40° with the vertical. She is tied into a harness that is connected to a rope that makes an angle of B= 20° with the cliff face. The tension in the rope has a line of action that goes through her center of mass which is 1.0 m from her feet. Her hands are not exerting a force on the rope (it is fed through a figure eight shaped braking device that exerts the necessary tension) a) Find the minimum coefficient of static friction between her feet and the cliff so that her feet do not slip on the cliff wall. (Hint: begin with the sum of torques about the center of mass). b) Find the tension in the rope if her feet are about to slip and the coefficient of static friction has the value you obtained in part a).
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Chapter1: Units, Trigonometry. And Vectors
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Transcribed Image Text:A physics professor of mass 58kg and height 1.68m is rappelling down a vertical
cliff when she pauses for a moment. Her feet are touching the cliff, and she is
leaning back so that her body makes an angle 0-40° with the vertical. She is tied
into a harness that is connected to a rope that makes an angle of B= 20° with the
cliff face. The tension in the rope has a line of action that goes through her center
of mass which is 1.0 m from her feet. Her hands are not exerting a force on the
rope (it is fed through a figure eight shaped braking device that exerts the
necessary tension)
a) Find the minimum coefficient of static friction between her feet and the cliff so
that her feet do not slip on the cliff wall. (Hint: begin with the sum of torques about
the center of mass).
b) Find the tension in the rope if her feet are about to slip and the coefficient of
static friction has the value you obtained in part a).
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VIEWStep 2: a) To find the minimum coefficient of static friction between her feet and the cliff;
VIEWStep 3: a) To find the minimum coefficient of static friction between her feet and the cliff;
VIEWStep 4: b) To find the tension in the rope if her feet are about to slip;
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