Question WHP8-Q1. The system in figure is composed of: a disc of radius r = 0.5 m, mass m = 0.5 kg and moment of inertia Ic = 62.5 g-m, with respect to its centre C, which is pinned to the ground. a slider of mass m = 0.3 kg which can only move vertically and can be modelled as a particle. The disc and the slider are connected by an inextensible cable which rolls on the disc without slipping. On the other side of the disc, a second cable connects the disc to a spring of stiffness k = 10 N/m, itself connected to the ground. The slides is connected to the ground by a damper with coefficient c = 0.2 N-s/m. An rotating unbalance is installed on the slider, characterised by u 2 g-m and time-varying angle wt with respect of the horizontal axis, with w = 3 rad/s. y defines the vertical position of the mass, while theta is the CCW rotation of the disc. The spring is unstretched for y = 0 and 0 = 0. m,lc k y wt m2 Answer to all the following sub-questions using y as coordinate to describe the system: a) Find the equilibrium position yeq b) Find the linearised equation of motion of the system in y and identify m", c, k*, Fj and c) Calculate the steady state vibration amplitude Y a) Yeq-294.3 mm Answers b) m 0.5500 kg, c = 0.2000 N-s/m, k = 10.00 N/m, F = 0.01800 N and = -/2 ad c) Y=3.539 mm