Accel of 2 Masses & 3 Pulleys: F=Ma Solution

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Homework Help Overview

The discussion revolves around determining the acceleration of two masses connected by a system of three pulleys. The original poster presents an equation based on Newton's second law, F=ma, and attempts to relate the accelerations of the two masses.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the relationship between the accelerations of the two masses, questioning the assumptions regarding the string length and how it affects the acceleration ratios.

Discussion Status

Participants are engaged in clarifying the relationship between the accelerations of the masses, with some suggesting that the constancy of the string length is key to understanding the problem. There is an ongoing exploration of how the lengths of the strings relate to the accelerations, but no consensus has been reached on the specifics.

Contextual Notes

There is a mention of the need for a free body diagram to further analyze the forces, but participants note that the current discussion focuses on the algebraic relationship rather than the forces acting on the system.

Gbox
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Homework Statement



Find the acceleration of the masses
PAAcdkT.jpg


Homework Equations


##F=Ma##

The Attempt at a Solution


We know that the system is moving so for ##M_1## we have ##M_1gsin\theta## on the other hand on ##M_2## we have ##M_1gsin\theta-M_2gsin\theta##

How can I conclude that the acceleration of ##M_2## is twice of ##M_1##?
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Gbox said:
How can I conclude that the acceleration of M2 is twice of M1?
I assume you meant the other way around.
It follows from the assumption that the string length does not change.
 
haruspex said:
I assume you meant the other way around.
It follows from the assumption that the string length does not change.

Sorry ##M_1## is twice the acceleration as ##M_2##.

Yes the string length does not change
 
Gbox said:
Sorry ##M_1## is twice the acceleration as ##M_2##.

Yes the string length does not change
Do you see how it follows from that?
 
haruspex said:
Do you see how it follows from that?
No I can't understand the forces map
 
Gbox said:
No I can't understand the forces map
It's not to do with the forces. Consider the lengths of the three sections of strings. They add up to a constant, and two are always the same as each other. That allows you to express two in terms of the third. Then see how they relate to the two accelerations.
 
haruspex said:
It's not to do with the forces. Consider the lengths of the three sections of strings. They add up to a constant, and two are always the same as each other. That allows you to express two in terms of the third. Then see how they relate to the two accelerations.
Can you show me the free body diagram of the forces acting in the system
 
Crystal037 said:
Can you show me the free body diagram of the forces acting in the system
This thread was about the algebraic relationship between the two accelerations, which has nothing to do with the forces. It follows entirely from the constancy of the total string length.
If you want to discuss the free body diagrams for this problem, post it as a new thread with your own attempt.
 

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