A rope is wrapped over a 6 cm diameter pipe to support a bucket of tools. The coefficient of friction between the rope and the pipe is 0.20. The combined mass of the bucket and the tools is 100 kg. a.) What force "F" is being applied to the free end of the rope if the bucket of tools is on the verge of being "lifted" by this force? b.) What force "F" is being applied to the free end of the rope if the bucket of tools is on the verge of being "lowered" by this force? μ = 0.20 20° bucket 100 kg r-3 cm Ans. Part a.) 1440 N Part b.) 668 N

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter7: Dry Friction
Section: Chapter Questions
Problem 7.78P: The figure shows a steel bar being processed by a rolling mill. Given that P=80kN and r =0.016,...
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A rope is wrapped over a 6 cm diameter pipe to support a bucket of tools. The coefficient
of friction between the rope and the pipe is 0.20. The combined mass of the bucket and
the tools is 100 kg.
a.) What force "F" is being applied to the free end of the rope if the bucket of tools is
on the verge of being "lifted" by this force?
b.) What force "F" is being applied to the free end of the rope if the bucket of tools is
on the verge of being "lowered" by this force?
μ = 0.20
20°
bucket
100 kg
r-3 cm
Ans.
Part a.) 1440 N
Part b.) 668 N
Transcribed Image Text:A rope is wrapped over a 6 cm diameter pipe to support a bucket of tools. The coefficient of friction between the rope and the pipe is 0.20. The combined mass of the bucket and the tools is 100 kg. a.) What force "F" is being applied to the free end of the rope if the bucket of tools is on the verge of being "lifted" by this force? b.) What force "F" is being applied to the free end of the rope if the bucket of tools is on the verge of being "lowered" by this force? μ = 0.20 20° bucket 100 kg r-3 cm Ans. Part a.) 1440 N Part b.) 668 N
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