A heavy cask (full of wine!) sits on an inclined plane. It is held in place by a rope that is attached to the cask and to a hook further up the inclined plane (at A). The rope comes off of the cask tangent to the cask. The mass of the cask is 40 kg, and the coefficient of static friction between the inclined plane and the cask is 0.25. What is the maximum value of θ just before the cask begins to slip? Also, what is the tension in the rope when slipping is impending? Finally, if the inclined plane became icy, and the rope didn’t break as the cask slipped, what would be remarkable about the lines of action of the W, N and T force vectors once

International Edition---engineering Mechanics: Statics, 4th Edition
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ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
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Chapter7: Dry Friction
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A heavy cask (full of wine!) sits on an inclined plane. It is held in place by a rope that is attached to the
cask and to a hook further up the inclined plane (at A). The rope comes off of the cask tangent to the
cask. The mass of the cask is 40 kg, and the coefficient of static friction between the inclined plane and
the cask is 0.25. What is the maximum value of θ just before the cask begins to slip? Also, what is the
tension in the rope when slipping is impending? Finally, if the inclined plane became icy, and the rope
didn’t break as the cask slipped, what would be remarkable about the lines of action of the W, N and T
force vectors once equilibrium was re-established? 

A heavy cask (full of wine!) sits on an inclined plane. It is held in place by a rope that is attached to the
cask and to a hook further up the inclined plane (at A). The rope comes off of the cask tangent to the
cask. The mass of the cask is 40 kg, and the coefficient of static friction between the inclined plane and
the cask is 0.25. What is the maximum value of 0 just before the cask begins to slip? Also, what is the
tension in the rope when slipping is impending? Finally, if the inclined plane became icy, and the rope
didn't break as the cask slipped, what would be remarkable about the lines of action of the W, N and T
force vectors once equilibrium was re-established?
0.70 m
40
0.
Transcribed Image Text:A heavy cask (full of wine!) sits on an inclined plane. It is held in place by a rope that is attached to the cask and to a hook further up the inclined plane (at A). The rope comes off of the cask tangent to the cask. The mass of the cask is 40 kg, and the coefficient of static friction between the inclined plane and the cask is 0.25. What is the maximum value of 0 just before the cask begins to slip? Also, what is the tension in the rope when slipping is impending? Finally, if the inclined plane became icy, and the rope didn't break as the cask slipped, what would be remarkable about the lines of action of the W, N and T force vectors once equilibrium was re-established? 0.70 m 40 0.
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