Non-ideal atwood machine problem

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Homework Help Overview

The discussion revolves around a non-ideal Atwood machine problem involving two masses and a pulley. Mass A is 19 kg, mass B is 9 kg, and the pulley has a diameter of 15 cm and a mass of 41 kg. The original poster seeks to determine how far mass A moves in 2 seconds after being released from rest.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the application of Newton's second law and energy conservation principles. There are attempts to derive equations related to the forces acting on the masses and the pulley. Questions arise regarding the correct approach to find the acceleration of the system and the relationship between the accelerations of the masses and the pulley.

Discussion Status

Some participants have provided guidance on analyzing the problem using Newton's second law and have suggested setting up equations for each mass and the pulley. There is an ongoing exploration of the relationships between the accelerations of the different components of the system, with some participants expressing uncertainty about their equations.

Contextual Notes

Participants note the urgency of the problem, as it is due soon. There is a focus on ensuring that the assumptions regarding the system's behavior are clearly understood and articulated.

jacker2011
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[SOLVED] non-ideal atwood machine problem

Homework Statement


Atwood machine.
mass a is 19kg and mass b is 9 kg
the pulley itself has diameter of 15cm and mass of 41kg
mass A and b are release from rest. How far does mass A move in 2 sec?


Homework Equations



I = 1/2 mr^2

The Attempt at a Solution

 
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really stuck at this non-ideal pulley problem..please help due tomorrow
 
I came up with two equation, but not sure if it is correct:
Ta(0.0075) + Tb(0.0075) = 1/2mr^2a
Total energy= 1/2mv^2 +1/2W^2+ mgh
What shall I do first? Find the acceleration of the two objects?
 
really need help in this
 
To find the acceleration, analyze the situation using Newton's second law, not conservation of energy.

You'll need three equations: one for mass a, one for mass b, and one for the pulley.

Analyze the forces on each object separately and apply Newton's 2nd law. Combine those three equations to solve for the acceleration.
 
ohh alright thanks!
 
wait, equation for what? solving for acceleration?
so i find 3 equations of acceleration for mass a, b and pulley?
 
first i guess all the acceleration is the same for pulley, mass A, and Mass B
i set them equal to each other and solve for acceleration

so the acceleration is 2.02m/s^2
 
Looks about right.
 

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