A solid cylinder of mass \(m\) and radius \( r\) lies flat on friction less horizontal table, with a mass less string running halfway around it, as shown in figure. An object also of mass \( m\) is attached to one end of the string, and you pull on the other end with a force \(T\). The circumference of the cylinder is sufficiently rough so that the string does not slip with respect to it. What is the acceleration of the mass m attached to the end of the string?
Note: Give your answer with magnitude and direction. Choose right side to be positive and left side to be negative.