A desperate hiker has to think fast to help his friend who has fallen below him. Quickly, he ties a rope to a rock of mass ma and makes his way over the ledge (see the figure). If the coefficient of maximum static friction between the rock and the ground is µ, and the mass of the hiker is mg, what is the maximum mass of the friend, mc, that the rock can hold so the hikers can then make their way up over the ledge? Assume the rope is parallel to the ground and the point where the rope passes over the ledge is frictionless. mc = Ju

Glencoe Physics: Principles and Problems, Student Edition
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ISBN:9780078807213
Author:Paul W. Zitzewitz
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Chapter5: Displacement And Force In Two Dimensions
Section5.2: Friction
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A desperate hiker has to think fast to help his
friend who has fallen below him. Quickly, he ties a
rope to a rock of mass ma and makes his way over
the ledge (see the figure).
If the coefficient of maximum static friction
between the rock and the ground is µ, and the mass
of the hiker is mâ, what is the maximum mass of
the friend, mc, that the rock can hold so the hikers
can then make their way up over the ledge?
Assume the rope is parallel to the ground and the
point where the rope passes over the ledge
is frictionless.
mc
= Ju
Transcribed Image Text:A desperate hiker has to think fast to help his friend who has fallen below him. Quickly, he ties a rope to a rock of mass ma and makes his way over the ledge (see the figure). If the coefficient of maximum static friction between the rock and the ground is µ, and the mass of the hiker is mâ, what is the maximum mass of the friend, mc, that the rock can hold so the hikers can then make their way up over the ledge? Assume the rope is parallel to the ground and the point where the rope passes over the ledge is frictionless. mc = Ju
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