Infinite Atwood’s machine

Classical Mechanics Level 2

The infinite Atwood’s machine shown has a string passing over each pulley, with one end attached to a mass and the other end attached to another pulley.

The masses are held fixed and then released simultaneously, and the acceleration of the top mass is \(\lambda g.\)

What is \(\lambda?\)

Details and Assumptions:

All the masses are equal to \(M\).
All the pulleys and strings are massless.
\(g\) is the acceleration due to gravity.

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, interactive explorations.

Used and loved by over 7 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.