Determine the force in a pulley system

In summary, a pulley system is a type of simple machine that uses a wheel and rope or cable to change the direction of a force in order to lift or move heavy objects with less effort. To determine the force in a pulley system, the number of ropes supporting the load and attached to the fixed point must be considered. The advantage of using a pulley system is that it reduces the required force and allows for smoother movement of the load. There are three types of pulley systems: fixed, movable, and compound. The force in a pulley system is affected by the weight of the load, number of supporting ropes, and angle of the ropes.
  • #1
Zheng_
24
1

Homework Statement


If A has a mass of 300kg, determine the mass of B if the system in figure P4-28 is to be in balance.
(What I couldn't understand is the 2Tb in the answer.)

Homework Equations


ΣFy=0[/B]

The Attempt at a Solution


Since the pulley on top is connected with two pulley at the bottom, its force is doubled?
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  • #2
The middle pulley (above block B) has two tensions Tb pulling it downward (red string in figure below). So what must be the tension in the blue string?

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FAQ: Determine the force in a pulley system

What is a pulley system?

A pulley system is a simple machine that uses a wheel with a groove and a rope or cable to change the direction of a force. It is used to lift or move heavy objects with less effort.

How do you determine the force in a pulley system?

To determine the force in a pulley system, you need to consider the number of ropes supporting the load and the number of supporting ropes attached to the fixed point. The force in each rope is equal to the total weight of the load divided by the number of supporting ropes.

What is the advantage of using a pulley system?

The advantage of using a pulley system is that it can reduce the amount of force required to lift or move heavy objects. It also allows for easier and smoother movement of the load.

Are there different types of pulley systems?

Yes, there are three types of pulley systems: fixed, movable, and compound. In a fixed pulley, the wheel is attached to a fixed point and only changes the direction of the force. In a movable pulley, the wheel is attached to the load and moves with it. A compound pulley combines both fixed and movable pulleys to further reduce the force needed to lift a load.

What factors affect the force in a pulley system?

The force in a pulley system is affected by the weight of the load, the number of supporting ropes, and the angle of the ropes. A larger load or a smaller number of ropes will require a greater force to lift. A smaller angle of the ropes will also require a greater force to lift the load.

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