Время науки - The Times of Science

Ермолицкая А. Д. Ermolitskaya A. D. 2025 13 It remains to find the constants (0.5) and (0.5). For this purpose we substitute = 0.5 into the found functions ( ) and ( ), and then we obtain a system of two equations with two required values (0.5) and (0.5). Solving the system, we find [0.5] = 0.0178231; [0.5] = 0.0362353; Substituting these values into the found functions ( ) and ( ), we obtain: Having obtained the solution of the system of differential equations, we can plot the transverse vibrations of the rod at different moments of time . Fig. 1 shows the oscillation of the rod with one concentrated mass at time = 0 on the left and at time = 4 on the right.