Answered: Cranes use a system of two pulleys to…

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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Part (a) How many times, x, does the cable pass over the pulley within the crane? (Assume that the tension in each segment of the rope is the same

Part (b) Assuming that the positive y-direction is up, input an expression for the sum of the forces acting on the car in the y-direction, in terms of the force produced by the crane's motor, F, and the given variables. Assume the motor pulls at a constant velocity.

Part (c) What is the minimum force, in Newtons, the crane's motor must provide to begin to move the car?

d) Assuming the crane's motor is producing a force of F = 1500 N on the car, what is the car's acceleration, in meters per square second?

Cranes use a system of two pulleys to provide mechanical
advantage, which reduces the force they need to apply to lift a particular weight (two such
possible configurations are shown in the figure). A crane is attempting to lift a compact
car with a mass of m= 1040 kg under the force of gravity. The crane's pulley system
produces a mechanical advantage of 10.
O
one pass
two passes

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