A rope of length L = 2.4 m and mass m = 3.9 kg is initially at rest and can slide on an inclined surface with incline 0 = 25° 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 μ = 0.54.

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Chapter7: Dry Friction
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A rope of length L = 2.4 m and mass m = 3.9 kg is initially at rest and can slide on an inclined
surface with incline 0 = 25° 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 μ = 0.54.
0/
Transcribed Image Text:A rope of length L = 2.4 m and mass m = 3.9 kg is initially at rest and can slide on an inclined surface with incline 0 = 25° 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 μ = 0.54. 0/
a)
Calculate the maximum value of b for which the rope will not start sliding down the slope.
Assume that b = 0.17 m and that the coefficient of kinetic friction between the rope and the inclined
surface is μ = 0.47. 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.
15/05/2023, 11:04
C)
Calculate the work done by gravity as a function of y.
EMS418U May 2023
d)
Calculate the work done by the friction force as a function of y.
1/6
e)
Hence calculate the velocity of the rope at the moment the rope has just completely left the inclined
surface.
Transcribed Image Text:a) Calculate the maximum value of b for which the rope will not start sliding down the slope. Assume that b = 0.17 m and that the coefficient of kinetic friction between the rope and the inclined surface is μ = 0.47. 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. 15/05/2023, 11:04 C) Calculate the work done by gravity as a function of y. EMS418U May 2023 d) Calculate the work done by the friction force as a function of y. 1/6 e) Hence calculate the velocity of the rope at the moment the rope has just completely left the inclined surface.
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