The figure represents a system composed of pulleys

AI Thread Summary
The discussion centers on a system of two ideal fixed pulleys supporting three equal masses A, B, and C, with mass A suspended by two wires. Participants emphasize the need to create Free Body Diagrams (FBDs) for each mass to analyze the forces acting on them. They suggest using Newton's second law to establish equations that relate the accelerations and tensions in the system. A critical point raised is whether the acceleration is the same for all masses or varies, which affects the calculations. To solve the problem step-by-step, it's essential to illustrate the forces and apply the relevant equations systematically.
leticia beira
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Homework Statement
homework Helper
Relevant Equations
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The figure represents a system composed of two ideal fixed pulleys that support three masses A, B, and C of the same mass M, suspended by light and inextensible threads. Massor A is simultaneously suspended by two wires, one connected to massor B (wire 1) and the other to massor C (wire 2). We can say that the acceleration of massor A will be:
( ) 10/3 m / s² down
( ) 10/3 m / s² upwards
( ) 20/3 m / s² down
( ) 20/3 m / s² upwardshow do i calculate step by step?
 

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Summary:: the figure represents a system composed of two pulleys, can we say that the acceleration of massor A will be?

download (2).png

A figura representa um sistema composto por duas polias fixas ideais que suportam três massas A, B e C da mesma massa M, suspensas por fios leves e inextensíveis. O massor A é suspenso simultaneamente por dois fios, um conectado ao massor B (fio 1) e outro ao massor C (fio 2). Podemos dizer que a aceleração do massor A será?

Socorro
 
Last edited:
leticia beira said:
Homework Statement:: homework Helper
Relevant Equations:: --

The figure represents a system composed of two ideal fixed pulleys that support three masses A, B, and C of the same mass M, suspended by light and inextensible threads. Massor A is simultaneously suspended by two wires, one connected to massor B (wire 1) and the other to massor C (wire 2). We can say that the acceleration of massor A will be:
( ) 10/3 m / s² down
( ) 10/3 m / s² upwards
( ) 20/3 m / s² down
( ) 20/3 m / s² upwardshow do i calculate step by step?
Welcome to the PF. :smile:

Your attachment did not seem to work. Maybe try again? Use the "Attach files" link below the Edit window to add a PDF or JPEG image of the problem.

Also, you are required to show your efforts to start working the problem before we can offer tutorial help. Please show us your Free Body Diagram(s) and show us how you are trying to work this problem. Thank you.
 
What figure?
 
download (2).png
 
leticia beira said:
Summary:: the figure represents a system composed of two pulleys, can we say that the acceleration of massor A will be?

View attachment 264251
A figura representa um sistema composto por duas polias fixas ideais que suportam três massas A, B e C da mesma massa M, suspensas por fios leves e inextensíveis. O massor A é suspenso simultaneamente por dois fios, um conectado ao massor B (fio 1) e outro ao massor C (fio 2). Podemos dizer que a aceleração do massor A será?

Socorro

Yay, you finally got a figure to post. Now show us your Free Body Diagram (FBD) for this system and tell us what you think the answer is.
 
leticia beira said:
how do i calculate step by step?
By creating variables to represent the accelerations and tensions and writing equations that relate the acceleration of each object to the forces that act on it.
 
Also, you need to consider the question, which must be asked when two or more pulleys are present, "is the acceleration the same for all the masses? If the answer is "yes", you need to explain why you think so; if the answer is "no", you need to find how the accelerations differ from each other.

For this question you need to create 3 free body diagrams (FBDs), also called force diagrams, one for each mass. Put in all the forces acting on that particular mass. That is @berkeman's suggestion. Once you have done this, write Newton's second law that is appropriate to each FBD. That is @haruspex's suggestion.
 
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