Consider the mechanical system of Figure 11.13(a), which consists of two masses M 1 =1 and M

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Consider the mechanical system of Figure 11.13(a), which consists of two masses M1 =1 and M2 = 2, each attached to a fixed base by a spring, having constants K1 = 1 and K3 = 2 respectively, and attached to each other by a third spring having constant K2 = 2. The system is released from rest at time t = 0 in a position in which M1 is displaced 1 unit to the left of its equilibrium position and M2 is displaced 2 units to the right of its equilibrium position. Neglecting all frictional effects, determine the positions of the masses at time t.


Figure 11.13

(a) K=1 moooo M = 1 x, (t) K=2 ooooo M=2 x(1) K=2 moooo F = Kx (b) F= K(x-x) M X (1) M |F3 = KX X(1)

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