0. Derive the solution for the differential equadon of undamped free flexural
vibration of an one dimensional distributed mass system. (6) c. Explain the role of

tuned mass dampers in vibration control. (2)

a. Determine the amplitude of the response at quarter point from the left support of a simply supported
beam due to the first &tree modes, neglecting damping, for the beam particulars given below. m
200Nsec2/cm per cm of span, El = 500Nmm2, L= 320 cm, P(t) = 1000 Sin 5001 N applied at midspan. (8)
b. Differentiate between discrete parameter systems and continuous parameter
(4) systems.