Not sure about my solution (fictionless Pulley)

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In summary, the total unbalance force on the two objects is mg and the total mass is 3m. Using Newton's 2nd law, the acceleration is found to be g/3 and the string tension can also be solved for by combining the force equations for each mass separately. It is recommended to try using this method to check for the correct acceleration and tension values.
  • #1
phalanx123
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Masses m and 2m hang from opposite ends of a string passing over a light,
frictionless pulley. What is their acceleration?




I said that the total unblalance force on the two objects is 2mg-mg=mg and the total mass is 2m+m=3m

So the acceleration a is a=mg/3m=g/3

Is this right? could somebody check it for me please? thanks :redface:
 
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  • #2
You are correct. But why not check it yourself, by using a more general method: Set up force equations (Newton's 2nd law) for each mass separately and combine the two equations. That will allow you to solve for both the acceleration and the string tension.
 
  • #3
Ok that makes sense ^_^ I'll try it. thanks again
 

Related to Not sure about my solution (fictionless Pulley)

1. What is a fictionless pulley?

A fictionless pulley is a type of pulley system that is designed to minimize friction between the pulley and the rope or cable that runs through it. This allows for more efficient transfer of force and motion.

2. How does a fictionless pulley work?

A fictionless pulley works by utilizing a smooth and polished surface for the pulley wheel, as well as a low-friction material for the rope or cable. This reduces the amount of friction between the two surfaces, allowing for easier movement and less energy loss.

3. What are the advantages of using a fictionless pulley?

The main advantage of using a fictionless pulley is that it allows for more efficient transfer of force and motion. This can be especially useful in mechanical systems where energy conservation is important. Additionally, fictionless pulleys are less prone to wear and tear, making them more durable and long-lasting.

4. Are there any limitations to using a fictionless pulley?

While fictionless pulleys have many advantages, they also have some limitations. For instance, they may not be suitable for heavier loads as the low-friction materials used may not be strong enough to support them. Additionally, the cost of these materials may make fictionless pulleys more expensive compared to traditional pulleys.

5. How can I incorporate a fictionless pulley into my experiments or projects?

If you are interested in using a fictionless pulley in your experiments or projects, you can purchase them from scientific supply companies or even make your own using low-friction materials such as Teflon or ceramics. It is important to carefully consider the weight and force requirements of your setup before incorporating a fictionless pulley.

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