A two-mass system consists of a piston of mass m1 connected by two elastic springs, that moves inside a tube as shown in Fig. 5.23. A pendulum of length l and end mass is connected to the piston as shown in Fig. 5.23.
(a) Derive the equations of motion of the system in terms of x1(t) and θ(t)
(b) Derive the equations of motion of the system in terms of the x1(t)and x2(t).
(c) Find the natural frequencies of vibration of the system.
