## Exploration 4.7: Atwood's Machine

Please wait for the animation to completely load.

A 10-kg mass, M, is attached via a massless pulley to another variable mass *m* **(position is given in meters and time is given in seconds)**. You can test the limits of the formula for the acceleration of the Atwood's machine (not shown to scale) by changing the ratio of the masses above. Restart.

- Draw a free-body diagram for each mass.
- Solve for the acceleration of m in terms of g, M, and m.
- Which, if any, of the following statements regarding the motion of the masses are true?

- when M = m then: a = g.
- when M = m then: a = 0.
- when M >> m then: a = g.
- when M >> m then: a = 0.
- when M < m then: a = 0.
- when M < m then: a = g.
- when M < m then: a < 0.

Verify your answer(s) to (c) by using the animation and your answer for (b).