A string is wrapped around a cylinder of mass M and radius r. The string is pulled vertically upward to prevent the center of mass from falling as the cylinder unwinds the string. (a) What is the tension in the string? B) How much work has been done on the cylinder once it has reached an angular speed `omega`? c) what is the length of string unwound in the time its acquires angular speed `omega`?

Answer

Mg, 1/4 m`epsilon^(2)r^(2); 1/4(r^(2)epsilon^(2)/(g)