Answer Happy

Question WHP05b-Q1.The system in figure is composed by: . A disc with radius r = 0.5 m, mass m₁ = 5 kg and moment of inertia c = 0.94 kg - m², rotating about its m₁, Ic centre C. The disc has its centre of mass G at a distance d = 0.25 m from C. • A point mass m₂ = 2 kg constrained to move vertically only, and connected to the disc by an inextensible cable. The disc is connected an inextensible cable. The other end of the cable is attached to a damper with coefficient c = 1 N-s/m, itself connected to the ground. Both cables roll on the disc without slipping. Defining as the CCW rotation of the disc with 0 = 0 as in figure (G aligned horizontally with C), answer to all the following sub- questions: 9191 M2 y d a) Write the non-linear equation of motion in b) Find all the possible positions of equilibrium eq c) Find the stable position of equilibrium Beq,stable d) Write the linearised equation of motion in the variable 0 = 0 - 0eq,stable and find I*, c and k