Pulley System Part c: Homework Statement & Relevant Equation

In summary, the conversation is about a pulley system and the confusion around its movement and calculation of average kinetic energy. The person asking the question is unsure how the system moves if it is balanced and how to calculate the average kinetic energy. The answer clarifies that by "balanced", it means that the net force is zero and explains that the weight only moves half as far due to the way the cable attaches.
  • #1
Seneka
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Homework Statement


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2. Relevant equation

The Attempt at a Solution

...[/B]
Part c)
I'm confused as to how the actual pulley system works. If its balanced wouldn't it be stationary. How does it move?
I thought that since its balanced the acceleration of the system is constant and therefore to find the average kinetic energy of the system, I would just do 1/2 x (2000 + 1000) x (9/30)^2
The answers say that the weight only moves half as far. How do you know this?
 

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  • #2
Seneka said:
If its balanced wouldn't it be stationary. How does it move?
I believe by "balanced" they mean that the net force is zero.

Seneka said:
The answers say that the weight only moves half as far. How do you know this?
Note how the cable attaches to the weight. When the weight moves down by 1 unit, how much cable must move through the pulley above the car? (You might want to play around with a piece of string to better visualize what happens.)
 
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1. What is a pulley system and how does it work?

A pulley system is a simple machine that consists of a wheel with a groove around its circumference and a rope or belt that runs around the groove. The rope or belt is used to lift or move objects by applying force to one end of the rope and pulling it through the pulley. The pulley system works by distributing the weight of the object being lifted across multiple ropes or belts, making it easier to lift the object.

2. What are the different types of pulley systems?

There are three main types of pulley systems: fixed, movable, and combined. In a fixed pulley system, the pulley is attached to a stationary object and only changes the direction of the force applied. In a movable pulley system, the pulley is attached to the object being lifted, reducing the amount of force needed to lift the object. A combined pulley system is a combination of fixed and movable pulleys, which allows for both a change in direction and a reduction in force.

3. How do I calculate the mechanical advantage of a pulley system?

The mechanical advantage of a pulley system is calculated by dividing the output force (the weight of the object being lifted) by the input force (the force applied to the rope or belt). For a fixed pulley system, the mechanical advantage is equal to 1. For a movable pulley system, the mechanical advantage is equal to the number of ropes or belts supporting the object. For a combined pulley system, the mechanical advantage can be calculated by multiplying the mechanical advantages of each individual pulley in the system.

4. What is the difference between ideal and actual mechanical advantage?

Ideal mechanical advantage refers to the calculated mechanical advantage of a pulley system, assuming that there is no friction or energy loss in the system. Actual mechanical advantage takes into account the effects of friction and energy loss, which can decrease the efficiency of the pulley system and result in a lower mechanical advantage.

5. Can a pulley system be used to lift objects heavier than the input force?

Yes, a pulley system can be used to lift objects heavier than the input force. This is possible because the weight of the object is distributed across multiple ropes or belts, reducing the force needed to lift the object. However, the mechanical advantage of the pulley system will decrease as the weight of the object increases, and there will still be some amount of force required to lift the object.

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