Using Lagrange's equation or Newton's second law, obtain the differential equation of motion of the forced vibration for the system shown in Fig. P8. The moment M is given by M = Mo sin wet, where M₁ = 2 N m, and w₁ = 5 rad/s. Assume small oscillations, m₁ = m₂ = m3 = 1 kg, k₁ = k₂ = 10 N/m, c₁ = c2 = 10 N s/m, and = 0.5 m. M k₁ mi HOM m3 FIG. P3.8