Let's discuss a beautiful problem useful for Physics Olympiad based on Mass supported by a Hollow Cylinder.
A mass m is supported by a massless string wound on a uniform hollow cylinder of mass m and radius R. If the string does not slip on the cylinder, with what acceleration will the mass fall on release?
For the mass m, the force equation stands as:
For the cylinder, the force equation is:
from above equation $$ T=ma $$
Now, putting the value of T in equation (i), we get