What is the acceleration and tension in a pulley system?

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Homework Help Overview

The discussion revolves around a pulley system where participants are tasked with applying Newton's second law to derive formulas for acceleration and tension in the absence of friction and considering only the masses involved.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants discuss identifying forces acting on the masses and applying Newton's second law. Some express uncertainty about how to formulate the problem without numerical values, while others suggest using symbols to represent forces.

Discussion Status

The conversation is ongoing, with participants exploring different ways to approach the problem. Some guidance has been offered regarding labeling forces and expressing them symbolically, but there is no consensus on a specific method yet.

Contextual Notes

Participants note the absence of numerical values and the challenge of formulating the problem based on limited knowledge from their current coursework.

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Homework Statement



Apply Newton's second law to find formulas for the magnitude of the acceleration of the system and for the tension in the cord. Ignore friction and the masses of the pulley and cord. (Use only the following: m_1 for m1, m_2 for m2, and g for gravity.)

a = ?
T = ?

Homework Equations



Sum forces = ma?


The Attempt at a Solution



I honestly have no idea how to do this..
 

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(1) Identify all forces acting on each mass
(2) Apply Newton's 2nd law to each mass separately
 
Well we don't have any numbers to work with so I'm trying to figure out just formulas.. I have no idea how to go about this.. I've just started this course and I haven't learned very much to do this..
 
You don't need numbers. Just label the forces with symbols. For example: The tension force from the string can be labeled "T". Express the force of gravity in terms of mg. Call the acceleration "a".

Reading this over might help you: Standard Newton's Laws Problems
 

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