2. (35%) A scotch yoke mechanism is shown in Fig. 2. The spring is unstretched when link 2 lies horizontally (θ2 = 0). The spring stifiness is 50 N/m. The length of Link 2 is 1 m. Link 2 is assumed to be massless. Link 3 and Link 4 weigh I kg and 3 kg, respectively. There is no friction in the sliding pairs.
(a) (10%) The mechanism is freely released when link 2 lies horizontally (θ2 = 0) and starts to oscillate. Determine the maximum and minimum angle of link 2.