Question

A string is wrapped around a cylinder of mass M and radius R. The string is pulled vertically upwards to prevent the centre of mass from falling as the cylinder upwinds the string. The tension in the string is:

Answer 1

Answer:

τ=Rα

TR=Iα

For  solid cylinder   I=21MR2             and   a=rα   (no slipping)

$$\implies  T= \dfrac{1}{2}Ma$$

Equation of motion,    Ma=Mg−T

$$2T= Mg-T                   \implies  T= \dfrac{Mg}{3}$$