Atwood machine

An Atwood machine couples two hanging masses by an inextensible mechanical string over a pulley. With ideal massless hardware, Newton's second law gives the downward acceleration of the heavier mass as $a=g(m_2-m_1)/(m_1+m_2)$. To prove it, write $m_{2}g-T=m_{2}a$ and $T-m_{1}g=m_{1}a$, then add. The apparatus associated with George Atwood turns a small difference of weights into slow, measurable acceleration.

An Atwood machine is a simple mechanical device consisting of two masses connected by a string that passes over a pulley. It's named after the British scientist George Atwood, who invented it in 1784 to demonstrate principles of mechanics. ### Components: 1. **Pulley**: A wheel that allows the string to move over it. 2. **String**: A lightweight, inextensible cord that connects the two masses.