- Figure Q3 Illustrate A Multi Degree Of Freedom System The Generalised Coordinate Are Taken As X And X Respectively 1 (78.41 KiB) Viewed 20 times
B3=0,K3=0
Figure Q3 illustrate a multi-degree of freedom system. The generalised coordinate are taken as X₁ and X₂, respectively. i) ii) Determine the natural frequency and the mode shape (vector) if M₁ = 10 kg, M= 1 kg, k, = 30 N/m, k₂ = 5 N/m whilst the other parameters are negligible (i.e., null value). Obtain the response for X₁(t) and X2(t), if the initial conditions are x₁ (0) = 1 m, and v₁ (0) = x2(0) =v₂(0) = 0. k₁ b₁ X₁ 1 M₁ k₂ b₂ Figure Q3 X₂ M₂ [25 Marks] [C4] b3 [25 Marks] [C4]