Problem 1: Atwood’s machine. A rope passes over a uniform pulley of mass,
, and radius,
. Masses
and
, with
, are attached to the ends of the rope. The system rotates toward
with
rising and
falling with the same acceleration
. Take the direction of motion as positive for all forces and velocities. Find the acceleration
.
Here is a link to the 2014 version of my Classical Mechanics class. I'm making some changes to these and will continue to post the current versions above, but if you want to read ahead you won't be far wrong looking at these: