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Today, we will discuss fixed pulleys. Can anyone tell me what a fixed pulley does?
It changes the direction of the force!
Exactly! When you pull down on the rope, it allows the load to go up. Does anyone know its mechanical advantage?
I think it's 1, right?
Correct! The mechanical advantage is 1, meaning the effort is equal to the load. What about the velocity ratio?
Thatβs also 1.
Great job! And since thereβs negligible friction, the efficiency is close to 100%. This means fixed pulleys are very effective.
So they are great for lifting stuff easily!
Exactly! To remember this, think of the acronym 'FAME': Fixed, Advantage = 1, Mechanical Advantage = 1, Efficiency β 100%.
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Now let's talk about movable pulleys. Who can explain how they differ from fixed pulleys?
Movable pulleys can make lifting easier, right?
That's right! Movable pulleys reduce the amount of effort needed to lift a load. What is their mechanical advantage?
It's around 2, meaning you can lift twice the weight with the same effort.
Yes! And what about the velocity ratio?
That would also be 2, so if I pull the rope 2 meters down, the load goes up 1 meter?
Exactly! The effort moves twice the distance. However, what's an important note about efficiencies?
Itβs less than 100% because of friction, right?
Exactly! An easy way to remember this is using 'M2E': Movable, 2:1 Mechanical Advantage, Efficiency < 100%.
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Can anyone give me examples of where you might see pulleys in everyday life?
Cranes use pulleys to lift heavy loads!
What about in elevators?
Great points! Pulleys are everywhere, from cranes to elevators to flagpoles! They simplify lifting tasks.
I guess that shows how important they are!
Absolutely! To remember, we can use 'C-L-F': Cranes, Lifts, Flags - all use pulleys!
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Pulley systems, including fixed and movable pulleys, are introduced as essential simple machines that aid in lifting loads. The section highlights their mechanical advantages (M.A.), velocity ratios (V.R.), efficiencies, and practical applications in reducing effort.
Pulley systems play a crucial role as simple machines in physics, facilitating the lifting and moving of heavy loads with less effort.
Overall, understanding pulley systems enhances our ability to manipulate forces in practical applications, making them valuable tools in everyday life.
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β Fixed Pulley:
β Changes direction of force
β M.A. = 1
β V.R. = 1
β Efficiency β 100%
A fixed pulley is a simple machine that changes the direction of the force applied to lift a load. For example, if you pull down on a rope attached to a load, the load will rise. The mechanical advantage (M.A.) of a fixed pulley is 1, meaning the force you exert is equal to the force experienced by the load. The velocity ratio (V.R.) is also 1, indicating that the distance you pull the rope is the same as the distance the load moves. Since there is minimal friction in an ideal fixed pulley system, its efficiency is approximately 100%, meaning almost all the input effort is effectively used to lift the load.
Consider a flagpole with a rope and pulley system to raise and lower a flag. When you pull down on the rope, the flag goes upβthatβs the fixed pulley changing your pull direction to lift the flag effortlessly. You apply a force that is directly equal to the weight of the flag.
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β Movable Pulley:
β Reduces effort
β M.A. β 2
β V.R. = 2
β Efficiency < 100% due to friction
A movable pulley is another type of pulley system that helps reduce the effort needed to lift a load. Unlike the fixed pulley, a movable pulley supports itself and the load you want to lift. It effectively doubles the mechanical advantage (M.A.), which is approximately 2, meaning the effort needed is halved. The velocity ratio (V.R.) is also 2, allowing the load to rise twice as much as the distance you pull the rope. However, due to the friction between the moving parts, the efficiency of a movable pulley is less than 100%, meaning not all your input effort goes into lifting the load; some energy is lost to friction.
Imagine using a movable pulley to lift a heavy bag of flour. You attach the flour bag to the pulley, and by pulling down on the rope, you can lift the bag with only half the effort you would need without the pulley. This makes lifting easier as if you had a helper on the other endβevery pull you make raises the bag twice as high.
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Key Concepts
Pulley Systems: Essential simple machines that help lift loads.
Fixed Pulley: Changes direction of force with M.A. = 1 and V.R. = 1.
Movable Pulley: Reduces effort with M.A. β 2 and V.R. = 2. Efficiency is less than 100%.
See how the concepts apply in real-world scenarios to understand their practical implications.
A flagpole uses a fixed pulley system to raise and lower a flag.
Cranes often use movable pulleys to lift heavy materials in construction.
Use mnemonics, acronyms, or visual cues to help remember key information more easily.
Fixed pulleys help us pull, with effort and load feeling equal.
Imagine a construction site where a worker uses a fixed pulley to lift a heavy load. As he pulls down, the load rises effortlessly, showing how fixed pulleys change direction without changing the amount of effort required.
FAME for Fixed Pulleys - Fixed, Advantage 1, Mechanical Advantage 1, Efficiency β 100%.
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Review the Definitions for terms.
Term: Fixed Pulley
Definition:
A pulley fixed in position that changes the direction of the force applied.
Term: Movable Pulley
Definition:
A pulley that moves with the load, reducing the effort needed to lift it.
Term: Mechanical Advantage (M.A.)
Definition:
A measure of the force amplification achieved by using a tool, mechanical device, or machine.
Term: Velocity Ratio (V.R.)
Definition:
The ratio of the distance moved by the effort to the distance moved by the load.
Term: Efficiency
Definition:
The effectiveness of a machine in converting input work to output work.