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? ### Understanding Mechanical Advantage in Cranes**Introduction:**Cranes use a system of two pulleys to provide a mechanical advantage, which reduces the force they need to apply to lift a particular weight. Two possible configurations of these pulleys are illustrated below.**Details:**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.**Illustrations:**The diagram shows two configurations of the pulley system:1. **One Pass:** In the first pulley configuration, the rope passes through the pulley system once.2. **Two Passes:** In the second pulley configuration, the rope makes two passes through the pulley system.Both configurations aim to demonstrate how the crane can utilize pulley systems to gain mechanical advantage, thereby lifting heavier loads with less input force.### Explanation of the Diagrams:#### One Pass:- The rope enters the pulley system, loops around the pulleys once, and allows the crane to lift the load with reduced effort. #### Two Passes:- The rope enters the pulley system, loops around the pulleys twice, further splitting the weight over more segments of the rope, increasing the mechanical advantage even more.By understanding these configurations, one can see how cranes efficiently lift heavy objects while minimizing the input force required.

Given data :- Mass of the car (m) = 1040 kgMechanical Advantage (M.A.) = 10To determine :-Part (a)…

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?

### Understanding Mechanical Advantage in Cranes

**Introduction:**
Cranes use a system of two pulleys to provide a mechanical advantage, which reduces the force they need to apply to lift a particular weight. Two possible configurations of these pulleys are illustrated below.

**Details:**
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.

**Illustrations:**
The diagram shows two configurations of the pulley system:

1. **One Pass:** In the first pulley configuration, the rope passes through the pulley system once.
2. **Two Passes:** In the second pulley configuration, the rope makes two passes through the pulley system.

Both configurations aim to demonstrate how the crane can utilize pulley systems to gain mechanical advantage, thereby lifting heavier loads with less input force.

### Explanation of the Diagrams:

#### One Pass:
- The rope enters the pulley system, loops around the pulleys once, and allows the crane to lift the load with reduced effort.

#### Two Passes:
- The rope enters the pulley system, loops around the pulleys twice, further splitting the weight over more segments of the rope, increasing the mechanical advantage even more.

By understanding these configurations, one can see how cranes efficiently lift heavy objects while minimizing the input force required.

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