A rope of Length L = 3m and mass m= 3Kg is initially At rest and can slide on an inclined surface with Inclined theta = 15° as shown in the figure. Assume that the part of the rope that is not on the Inclined surface hanges down vertically at all times and that the static friction coefficient between the rope and the surface is MUs = 0.36 a) calculate the maximum value of b for which the rope will NOT start sliding down the slope. Assume that b = 0.33m and that the coefficient of kinetic friction between the rope and the Inclined surface is MUk = 0.27. 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 Calculate the work done by gravity as a function of y c) calculate the work done by the friction force as a function of y Hence calculate the velocity of the rope at the moment the rope has just completely left the Inclined surface
A rope of Length L = 3m and mass m= 3Kg is initially At rest and can slide on an inclined surface with Inclined theta = 15° as shown in the figure. Assume that the part of the rope that is not on the Inclined surface hanges down vertically at all times and that the static friction coefficient between the rope and the surface is MUs = 0.36
a) calculate the maximum value of b for which the rope will NOT start sliding down the slope.
Assume that b = 0.33m and that the coefficient of kinetic friction between the rope and the Inclined surface is MUk = 0.27. 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
Calculate the work done by gravity as a function of y
c) calculate the work done by the friction force as a function of y
Hence calculate the velocity of the rope at the moment the rope has just completely left the Inclined surface
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