<p align="right">Last Update: <font color="#4f81bd">July, 27, 2024</font></p>
## BIG IDEAS
- An Atwood machine consists of two masses connected by a string over a pulley, the system is used to study how forces balance and result in acceleration.
- Two equations are combined to solve for the acceleration.
- The tension in the string is an internal force that plays a critical role in connecting the dynamics of both masses.
>[!note] Newton's Second Law
>The Atwood machine serves as a practice application of Newton's laws.
### Acceleration Formula
$a \ = \ \frac{(m_2 - m_1)}{(m_1 + m_2)} g$
### Tension Formula
$T \ = \ \frac{2 m_1 m_2 g}{(m_1 + m_2)}$
### Related Topics
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