a) Calculate the maximum value of b for which the rope will not start sliding down the slope. Assume that b= 0.18 m and that the coefficient of kinetic friction between the rope and the inclined surface is k = 0.36. Let y (in metres) be the distance travelled by the rope after it has been released from rest. b) Calculate the initial acceleration of the rope. c) Calculate the work done by gravity as a function of y.
a) Calculate the maximum value of b for which the rope will not start sliding down the slope. Assume that b= 0.18 m and that the coefficient of kinetic friction between the rope and the inclined surface is k = 0.36. Let y (in metres) be the distance travelled by the rope after it has been released from rest. b) Calculate the initial acceleration of the rope. c) Calculate the work done by gravity as a function of y.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text:a)
Calculate the maximum value of b for which the rope will not start sliding down the slope.
Assume that b = 0.18 m and that the coefficient of kinetic friction between the rope and the inclined surface is k = 0.36. Let y (in metres) be the distance
travelled by the rope after it has been released from rest.
b)
Calculate the initial acceleration of the rope.
c)
Calculate the work done by gravity as a function of y.
d)
Calculate the work done by the friction force as a function of y.
e)
Hence calculate the velocity of the rope at the moment the rope has just completely left the inclined surface.
I
Transcribed Image Text:=
A rope of length L
1.9 m and mass m = 2.6 kg is initially at rest and can slide on an inclined surface with incline 0 = 20° as shown in the figure. Assume
that the part of the rope that is not on the inclined surface hangs down vertically at all times and that the static friction coefficient between the rope and the
surface is us = 0.45.
0
https://amplus.amul.ac.uk/pluginfile.php/3594464/mod scorm/content/1/index.html
b
S
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