Halliday, Resnick & Walker — Force and Motion–I: Problem 54

Figure 5.32 shows four penguins that are being playfully pulled along very slippery (frictionless) ice by a curator. The masses of three penguins and the tension in two of the cords are \(m_1 = 12 \text{ kg}\), \(m_3 = 15 \text{ kg}\), \(m_4 = 20 \text{ kg}\), \(T_2 = 111 \text{ N}\), and \(T_4 = 222 \text{ N}\). Find the penguin mass \(m_2\) that is not given.