# Atwood's Machine. I am asked to solve for the unknown mass.

• Ocata
In summary, the conversation discusses determining the mass of m2 on an Atwood's Machine using the acceleration of m1 and other lab measurements. The equations used are a_{net1} = \frac{m_{1}-m_{2}}{m_{1}+m_{2}}g and x = \frac { \frac{a}{g}(m_{1}) - m_{1} } {- \frac{a}{g} - 1}.
Ocata

## Homework Statement

Given m_1 on an Atwood's Machine, what is the mass of m_2?

## Homework Equations

$a_{net1} = \frac{m_{1}-m_{2}}{m_{1}+m_{2}}g$

## The Attempt at a Solution

$a_{net1} = \frac{m_{1}-x}{m_{1}+x}g$

$\frac{a}{g} = \frac { m_{1} - x } { m_{1}+x }$

$\frac {a}{g}m_{1} + \frac{a}{g}x - m_{1} = -x$

$x = \frac { \frac{a}{g}(m_{1}) - m_{1} } {- \frac{a}{g} - 1}$Is this correct?

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Assuming that you know the acceleration of m1, yes. Please write down the full question in future posts.

Hi Orodruin,

This was a lab assignment, the full question was something like: Determine the mass of a block that is attached to one side of a pulley, using lab measurements. I'm assuming that I would have measured the acceleration and based on m1 and the acceleration, solve for m2.

## What is Atwood's Machine?

Atwood's Machine is a simple device used to demonstrate concepts of force, acceleration, and mass. It consists of two masses connected by a string that runs over a pulley. The pulley acts as a fulcrum and allows for one mass to fall while the other rises.

## How does Atwood's Machine work?

Atwood's Machine works by utilizing the principles of Newton's Second Law of Motion. The downward force of the heavier mass causes the lighter mass to accelerate upwards. The tension in the string connecting the two masses is equal to the difference in the weights of the masses.

## What is the equation for Atwood's Machine?

The equation for Atwood's Machine is T = (m1-m2)g, where T is the tension in the string, m1 and m2 are the masses on either side of the pulley, and g is the acceleration due to gravity (9.8 m/s²).

## How do you solve for the unknown mass in Atwood's Machine?

To solve for the unknown mass in Atwood's Machine, you can use the equation T = (m1-m2)g and plug in the known values for T, m1, and m2. Then, solve for the unknown mass by rearranging the equation to isolate m2.

## What factors affect the acceleration in Atwood's Machine?

The acceleration in Atwood's Machine is affected by the difference in masses, the tension in the string, and the acceleration due to gravity. Additionally, factors such as friction, air resistance, and the mass of the pulley can also affect the acceleration in Atwood's Machine.

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