Consider the mechanical system of Figure 11 13(a), which consists of two masses M 1 1 and M 2 2, each attached to a fixed base by a spring, having constants K 1 1 and K 3 2 respectively, and attached to each other by a third spring having constant K 2 2 The system is released from rest at time t 0 ...

Let xt and xt denote the displacements of the masses M and M respectively from their equilibrium pos ...

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

Question:

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)