Solve the equation of motions for the translational system shown in Figure (a), (b), (c), and...

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Solve the equation of motions for the translational system shown in Figure (a), (b), (c), and (d) to produce the transfer function, X2(s)/F(s). (a) (c) K₁ oooo **** K₂ M₂0000 fy,= 1 N-s/m x₁ (1) Jy₂ = 1 N-s/m x1(1) M₁= 1 kg x₂(1) K= 1 N/m 0000 fv, = 1 N-s/m x₂(1) K₁ M₂= 1 kg Jv₂ = 1 N-s/m OHHHHHHH (b) AAAAAAAAAAAAA (d) K₁ 0000 K₁ = 5 N/m 0000 fv, = 2 N-s/m- 0000 K₂ = 4 N/m fv3- fv₂ = 2 N-s/m M₁ fyl M₁ = 4 kg X(t) M₁ - X3 (t) X₁(1) K₂ 0000 + x3(1) My = 5 kg 0000 K3 = 4 N/m Frictionless fv4 M₂ TITI fv₂ -X₂(t) Jv₂ = 3 N-s/m II -f(t) M₂-5 kgf(1) + X₂(1) Solve the equation of motions for the translational system shown in Figure (a), (b), (c), and (d) to produce the transfer function, X2(s)/F(s). (a) (c) K₁ oooo **** K₂ M₂0000 fy,= 1 N-s/m x₁ (1) Jy₂ = 1 N-s/m x1(1) M₁= 1 kg x₂(1) K= 1 N/m 0000 fv, = 1 N-s/m x₂(1) K₁ M₂= 1 kg Jv₂ = 1 N-s/m OHHHHHHH (b) AAAAAAAAAAAAA (d) K₁ 0000 K₁ = 5 N/m 0000 fv, = 2 N-s/m- 0000 K₂ = 4 N/m fv3- fv₂ = 2 N-s/m M₁ fyl M₁ = 4 kg X(t) M₁ - X3 (t) X₁(1) K₂ 0000 + x3(1) My = 5 kg 0000 K3 = 4 N/m Frictionless fv4 M₂ TITI fv₂ -X₂(t) Jv₂ = 3 N-s/m II -f(t) M₂-5 kgf(1) + X₂(1)