Consider the following problem: a block of mass \(m_{1}\) is on a frictionless horizontal surface, and connected by a string, through a pulley, to a mass \(m_{2}\) hanging vertically (Figure \(\PageIn...Consider the following problem: a block of mass \(m_{1}\) is on a frictionless horizontal surface, and connected by a string, through a pulley, to a mass \(m_{2}\) hanging vertically (Figure \(\PageIndex{1}\)). (We assume the string is unbreakable, unstretchable, and of negligible mass.) What is the acceleration of the system?