Atwood machine

The Atwood machine is sometimes used to illustrate the Lagrangian method of deriving equations of motion.

Notice that in both of these derivations, if one sets and angular velocity to zero, the resulting special case is the regular non-swinging Atwood machine:

In several texts H.T.Odum gave the Atwood machine as a practical example of the 'principle' of maximum power.

The ideal Atwood Machine consists of two objects of mass m and m, connected by an inextensible massless string over an ideal massless pulley.

The Atwood machine (or Atwood's machine) was invented in 1784 by Rev. George Atwood as a laboratory experiment to verify the mechanical laws of motion with constant acceleration.

Yehia, H.M., (2006) "On the integrability of the motion of a heavy particle on a tilted cone and the swinging Atwood machine", Mechanics Research Communications Vol.

An elevator with a counterbalance approximates an ideal Atwood machine and thereby relieves the driving motor from the load of holding the elevator cab - it has to overcome only weight difference and inertia of the two masses.