A rope of length L = 1.3 m and mass m = 1.5 kg is initially at rest and can slide on an inclinedsurface with incline 0 = 30° as shown in the figure. Assume that the part of the rope that is noton the inclined surface hangs down vertically at all times and that the static friction coefficientbetween the rope and the surface is μg = 0.66.0ba)Calculate the maximum value of b for which the rope will not start sliding down the slope.Assume that b = 0.10m and that the coefficient of kinetic friction between the rope and theinclined surface is μ = 0.57. Let y (in metres) be the distance travelled by the rope after it hasbeen 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 theinclined surface.

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A rope of length L = 1.3 m and mass m = 1.5 kg is initially at rest and can slide on an inclined surface with incline 0 = 30° 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 = 0.66.

A rope of length L = 1.3 m and mass m = 1.5 kg is initially at rest and can slide on an inclined surface with incline 0 = 30° 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 = 0.66.

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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