Example 5.31 Consider the mechanical system of Figure (a) below, which consists of two masses =...

 

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Example 5.31 Consider the mechanical system of Figure (a) below, which consists of two masses = 1 and M = 2, each attached to a fixed base by a spring, having constants K = 1 and K = 2 respectively, and attached to each other by a third spring having constant K = 2. The system is released from rest at time = 0 in a position in which M, is displaced 1 unit to the left of its equilibrium position and M, is displaced 2 units to the right of its equilibrium position. Neglecting all frictional effects, determine the positions of the masses at time 1. M = 1 M = 2 F2 = K2(x2-x1) K 00000 K = 2 00000 K = 2 00000 F =K F3 = K3x2 M M x1(1) x2(1) *(1) X2(1) (b) Example 5.31 Consider the mechanical system of Figure (a) below, which consists of two masses = 1 and M = 2, each attached to a fixed base by a spring, having constants K = 1 and K = 2 respectively, and attached to each other by a third spring having constant K = 2. The system is released from rest at time = 0 in a position in which M, is displaced 1 unit to the left of its equilibrium position and M, is displaced 2 units to the right of its equilibrium position. Neglecting all frictional effects, determine the positions of the masses at time 1. M = 1 M = 2 F2 = K2(x2-x1) K 00000 K = 2 00000 K = 2 00000 F =K F3 = K3x2 M M x1(1) x2(1) *(1) X2(1) (b)