Question 3 a) Figure Q3 depicts a mass m = 40kg attached to a system of equivalent stiffness k = 200kN/m and constrained to translate in the horizontal direction. A tuned mass damper (ma, Ka = 50kN/m) needs to be installed to reduce vibrations at resonance. i. What mass ma of the tuned absorber is required to completely suppress the vibration of the main mass? (6 marks) ii. If the acting force gets mistuned at 21Hz, will it be worth to keep the absorber connected? (8 marks) k ka wwwwwww m ma Figure Q3