The axis of rotation of a purely rotating body

In the previous question, the smallest kinetic energy at the bottom of the incline will be achieved by

A string of negligible thickness is wrapped several times around a cylinder kept on a rough horizontal surface. A man standing at a distance l from the cylinder holds one end of the string and pulls the cylinder towards him (figure 10-Q4). There is no slipping anywhere. The length of the string passed through the hand of the man while the cylinder reaches his hands is

Consider the following two equations

(A)

(B)

In non-inertial frames

A particle moves on a straight line with a uniform velocity. Its angular momentum