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please write all the steps. kindly check that one of question have 16 marks. dnt skip the steps please
1. Question 1 [20] A spring-mass system is shown in Figure 1.1. A mass of m = 50 kg is attached to a spring with stiffness of k = 2000 N/m. If the system is placed on an incline with an angle of 0 = 20 and harmonic force f(t) = 250 cos 12t, 1.1. Derive the equation of motion for the system. [4] 1.2. Determine the maximum amplitude of xp(t). [16] www m Fo cos wt Ꮎ Figure 1.1 Spring mass system