- B A Translational Mechanical Control System Is As Shown In Figure Q2 B F T X T K 2n M Oooo H Fv 2n S M X 1 (103.53 KiB) Viewed 18 times
- B A Translational Mechanical Control System Is As Shown In Figure Q2 B F T X T K 2n M Oooo H Fv 2n S M X 2 (123.94 KiB) Viewed 18 times
(b) A translational mechanical control system is as shown in Figure Q2(b). f(t) > X₂ (t) k₁ = 2N/m oooo H fv₁ = 2N-s/m x₁ (t) M₁ = 4kg fv₂ = 1N-s/m 0000 k₂ = 3N/m fv3 = 1N-s/m M₂ = 2kg Figure Q2(b): Translational mechanical control system.
(i) (ii) Construct a free-body diagram or electrical analogy diagram of the system. Properly indicate and label all forces that exist in the system. C2 [SP1] [4 marks] Write the equation of motion for the system based on the free body diagram or electrical analogy diagram obtained in Q2(b)(i). C2 [SP1] [3 marks] (iii) Perform the Laplace transform to the equation of motion and obtain state space equation for the system where the output is x₂ (t). C3 [SP2] [7 marks]