Giving a pulley with mass an essential mass

In summary, the conversation discusses the set-up of a problem involving a pulley with a mass and a rope, and how it can be related to a similar set-up with a mass on a frictionless platform and ropes attached to a massless pulley. The speaker is seeking clarification on how to solve this problem.
  • #1
BLam417
1
0
The set-up of the type of problem I'm trying to work with is a pulley (that has a mass) with a rope going over it that has a mass attached at each end. In class my teacher showed a way to relate this set-up with a a similar set-up where there is a mass on a flat frictionless platform attached by a rope on each side that goes over a massless pulley on its respective side and is attached to a mass. If you can understand what I just said how do I do this?

please ask questions to better understand the set-ups of the two systems.
 
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  • #2
please ask questions to better understand the set-ups of the two systems
Are you asking US to ask YOU questions ?
 
  • #3


1. Can you clarify the purpose of the pulley and the attached masses in the first set-up?
2. Is the flat frictionless platform also acting as a pulley in the second set-up?
3. What is the purpose of the mass on the platform and the masses attached by ropes in the second set-up?
4. Are the two set-ups meant to achieve the same goal or are they for different experiments?
5. How do the masses and the pulley affect the overall system in each set-up?
 

1. What is a pulley with mass?

A pulley with mass is a type of pulley system where the pulley itself has a significant amount of weight. This weight affects the overall dynamics of the system, making it more complex to analyze.

2. How does adding mass to a pulley affect its function?

Adding mass to a pulley can change its mechanical advantage and increase the amount of force needed to lift an object. It can also impact the speed and efficiency of the system.

3. What is the purpose of adding mass to a pulley?

The main purpose of adding mass to a pulley is to make the system more stable and reduce vibrations. This can be particularly useful in applications where precision and accuracy are important, such as in scientific experiments or industrial processes.

4. How do you calculate the essential mass for a pulley?

The essential mass for a pulley can be calculated using the formula M = T/(2πRω²), where M is the essential mass, T is the tension in the rope, R is the radius of the pulley, and ω is the angular velocity. This formula takes into account the mass of the pulley, as well as the tension and speed of the system.

5. What are some common uses for pulleys with mass?

Pulleys with mass are commonly used in various industries, such as construction, manufacturing, and transportation. They are also widely used in scientific experiments and educational demonstrations to illustrate concepts of mechanics and physics.

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