# 7. Consider e following mass-spring systemn f (t) winFwin k2 r(t) y(t) The spring near the...

###### Question:

7. Consider e following mass-spring systemn f (t) winFwin k2 r(t) y(t) The spring near the wall has spring constant ki, and the one between the objects has constant k2. Assume there is no friction in the system. The position of mass m at time t is given by x(t), and the position of mass M is y(t). The rest position of the two masses are, respectively, xo and yo- Starting from time t = 0 a horizontal force f(t) starts to act on mass m, driving the system (a) What are the forces acting on mass M at time t? (b) What are the forces acting on mass m at time t? (c) Model the system; that is, write down differential equations involving the un- known functions x(t) and y(t). (d) How would your model change if a dissipative force acted on M, proportional to M's velocity and against the direction of the movement? [2+2+6+4=14 marks

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